Index: /issm/workshop/2012/Talks/01_Teasers/01_Teasers.tex =================================================================== --- /issm/workshop/2012/Talks/01_Teasers/01_Teasers.tex (revision 14029) +++ /issm/workshop/2012/Talks/01_Teasers/01_Teasers.tex (revision 14029) @@ -0,0 +1,530 @@ +%Preamble {{{ +\documentclass[10pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[jpl,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{booktabs} %nice tables (toprule, bottomrule,...) +\graphicspath{ % directories where the pictures are located +{Images/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen + +\setbeamercovered{transparent} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{ +%%Automatically insert outline slide at the begining of each new section (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{ +%between brackets []: shown on headers and footers of every slide (must be short) +%between parenthesis (): shown on title page only (long) +\title[Teasers]{Ice Sheet System Model} +\subtitle{Teasers} +\author[Larour et al.]{ +Eric \textsc{Larour}\inst{1}, +Eric \textsc{Rignot}\inst{1,3}, +Mathieu \textsc{Morlighem}\inst{1,2}, +H\'el\`ene \textsc{Seroussi}\inst{1,2} +\textbf{Chris \textsc{Borstad}}\inst{1}, +Feras \textsc{Habbal}\inst{1,3}, +Daria \textsc{Halkides}\inst{1,4}, +John \textsc{Schiermeier}\inst{1}, +Nicole \textsc{Schlegel}\inst{1} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}Laboratoire MSSMat, \'Ecole Centrale Paris, France\\ +\inst{3}University of California, Irvine\\ +\inst{4}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2012]{ISSM Workshop 2012} +\date[]{\hspace{-15em}December 2012\hspace{3em}\copyright Copyright 2012. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} +\begin{document} + +%Title slide %{{{ +\begin{frame}[plain] %No headers or footers + %Do not change, this page is automatically generated + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Overview}%{{{ + \tableofcontents +\end{frame}%}}} + +\section{Meshing} + +\begin{frame}{Meshing}%{{{ + basic mesh generation, using both python and matlab +\end{frame}%}}} + +\section{Plotting} + +\begin{frame}{Plotting}%{{{ +Basic plot functionality, using both matlab and python +\end{frame}%}}} + +%Thanks slide{{{ +\usebackgroundtemplate{\includegraphics[width=\paperwidth,height=\paperheight]{Thanksbg}} +\begin{frame}[plain] + \ghostframe + \begin{center} + \vspace*{-0.1\paperheight} + \hspace*{-0.15\paperwidth}\Huge{Thanks!} + \end{center} + \note{Thank you very much for your attention} +\end{frame} +\usebackgroundtemplate{} +%}}} + +%% slides from last year to possibly use {{{ +%\begin{frame}\frametitle{Startup file}%{{{ +% \begin{itemize} +% \item {\tt startup.m} must be present when matlab is launched +% \item Automatically executed by matlab at ``start up'' to load all ISSM tools +% \end{itemize} +% \lstinputlisting[firstline=14,lastline=34,basicstyle=\lstbasicfont\tiny]{Code/startup.m} +%\end{frame} +%%}}} +%\section{Model class} +%\begin{frame} \frametitle{Matlab Model class}%{{{ +% \vspace{-1em} +% \lstinputlisting[firstline=1,lastline=36,basicstyle=\lstbasicfont\tiny]{Code/ex3.m} +%\end{frame} +%%}}} +%\begin{frame} \frametitle{Model fields}%{{{ +% \begin{itemize} +% \item Model properties are sorted by type: +% \begin{itemize} +% \item mesh properties in {\tt md.mesh} +% \item material properties in {\tt md.material} +% \item ... +% \end{itemize} +% \item Each model field is itself a matlab object with fields +% \item Default parameters are provided (physical constants, etc) +% \end{itemize} +% +% \lstinputlisting[firstline=38,lastline=56,basicstyle=\lstbasicfont\tiny]{Code/ex3.m} +%\end{frame} +%%}}} +%\begin{frame} \frametitle{Saving and loading a model}%{{{ +% \begin{itemize} +% \item {\tt md} is a placeholder for all parameters, constants, geometrical properties, etc. +% \item No additional file required, everything is in ONE matlab variable. +% \item Use matlab's {\tt save} command to save a model in binary format +% \item Use {\tt loadmodel} to reload a model from a binary file +% \item[$\rightarrow$] makes sure that old models are loaded correctly +% \end{itemize} +% \lstinputlisting[firstline=1,lastline=18,basicstyle=\lstbasicfont\tiny]{Code/ex2.m} +%\end{frame} +%%}}} +%\section{Plots} +%\begin{frame} \frametitle{Display model fields}%{{{ +% \begin{itemize} +% \item {\tt plotmodel} can be used to display any model field/result +% \item Arguments (pairs of options): +% \begin{enumerate} +% \item model +% \item {\tt 'data'} +% \item name of model field +% \item name of option1 +% \item option1 value +% \item name of option2 +% \item option2 value +% \item ... +% \end{enumerate} +% \end{itemize} +% \lstinputlisting[firstline=25,lastline=29]{Code/ex2.m} +% \begin{itemize} +% \item More info: +% \begin{itemize} +% \item {\tt plotdoc} +% \item \url{http://issm.jpl.nasa.gov/documentation/usersmanual} +% \end{itemize} +% \end{itemize} +%\end{frame} +%%}}} +%\section{Mesh} +%\subsection{EXP files} +%\begin{frame} \frametitle{EXP format}%{{{ +% \begin{itemize} +% \item We rely on Argus' format for geometrical files +% \item Argus files have an {\tt exp} extension +% \item Example for a square domain: +% \end{itemize} +% \lstinputlisting{Code/Square.exp} +% \begin{itemize} +% \item ISSM has tools to read/write/modify {\tt exp} files +% \item This format is used for: +% \begin{itemize} +% \item domain outline (mesh boundary) +% \item floating ice extension +% \item flag elements or vertices inside a profile +% \end{itemize} +% \end{itemize} +%\end{frame} +%%}}} +%\subsection{triangle} +%\begin{frame} \frametitle{Mesh generation with triangle}%{{{ +% \begin{itemize} +% \item {\tt triangle} is used to generate simple uniform unstructured meshes +% \item Arguments: +% \begin{enumerate} +% \item model +% \item name (string) of the domain outline +% \item element mean size +% \end{enumerate} +% \end{itemize} +% \lstinputlisting[firstline=1,lastline=2]{Code/Square.m} +% \begin{itemize} +% \item To display the mesh: +% \end{itemize} +% \lstinputlisting[firstnumber=3,firstline=3,lastline=3]{Code/Square.m} +%\end{frame} +%%}}} +%\section{Parameterization} +%\begin{frame} \frametitle{Parameterization file}%{{{ +% \begin{itemize} +% \item The parameter file sets up all required fields of a model: +% \begin{itemize} +% \item Geometrical properties (Upper surface elevation, thickness,...) +% \item Boundary conditions (friction, front,...) +% \item Solver settings +% \item ... +% \end{itemize} +% \item Example for a square ice shelf: +% \lstinputlisting[basicstyle=\lstbasicfont\tiny]{Code/Square.par} +% \end{itemize} +%\end{frame} +%%}}} +%\subsection{Interpolation modules} +%\begin{frame} \frametitle{Interpolation modules}%{{{ +% \begin{itemize} +% \item Interpolation from a regular grid to a mesh: {\tt InterpFromGridToMesh} +% \lstinputlisting[firstline=21,lastline=21,basicstyle=\lstbasicfont\tiny,numbers=none]{Code/ex2.m} +% \item Interpolation from between two meshes: {\tt InterpFromMeshToMesh2d} +% \lstinputlisting[firstline=20,lastline=20,basicstyle=\lstbasicfont\tiny,numbers=none]{Code/ex2.m} +% \end{itemize} +%\end{frame} +%%}}} +%\subsection{SeaRISE example} +%\begin{frame} \frametitle{SeaRISE example}%{{{ +% \vspace{-1em} +% \lstinputlisting[basicstyle=\lstbasicfont\Tiny]{Code/Greenland.par} +%\end{frame} +%%}}} +%\section{Mask} +%\begin{frame} \frametitle{Mask}%{{{ +% \begin{itemize} +% \item {\tt setmask} is used to generate areas where ice is grounded and floating +% \item Arguments: +% \begin{enumerate} +% \item model +% \item floating ice domain +% \item grounded ice inside the floating ice +% \end{enumerate} +% \item Ice considered grounded by default +% \item Input files in Argus format +% \item Examples +% \begin{itemize} +% \item[] {\tt md=setmask(md,'','')} $\rightarrow$ all grounded +% \item[] {\tt md=setmask(md,'all','')} $\rightarrow$ all floating +% \item[] {\tt md=setmask(md,'IceShelves.exp','')} $\rightarrow$ grounded with some floating parts +% \item[] {\tt md=setmask(md,'all','Islands.exp')} $\rightarrow$ floating with some grounded parts +% \end{itemize} +% \end{itemize} +% \begin{itemize} +% \item To display the mask: +% \end{itemize} +% \lstinputlisting[firstnumber=1,firstline=58,lastline=58]{Code/ex3.m} +%\end{frame} +%%}}} +%\section{Flow equations} +%\begin{frame} \frametitle{Flow equation}%{{{ +% {\tt setflowequation} is used to generate the approximation used to compute the velocity +% +% \begin{itemize} +% \item Arguments: +% \begin{enumerate} +% \item model +% \item approximation names +% \item approximation domains +% \end{enumerate} +% \item Domains can be Argus files or array of element flags +% \item Approximation available +% \begin{itemize} +% \item stokes (Full-Stokes model) +% \item pattyn (Higher-order model) +% \item macayeal (Shallow Shelf Approximation) +% \item hutter (Shallow Ice Approximation) +% \end{itemize} +% \item Model coupling possible (see tomorrow's presentation) +% \end{itemize} +%\end{frame} +%%}}} +%\begin{frame} \frametitle{Flow equation}%{{{ +% {\tt setflowequation} is used to generate the approximation used to compute the velocity +% +% \begin{itemize} +% \item Examples +% \end{itemize} +% +% \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=62,lastline=65]{Code/ex3.m} +% +% \begin{itemize} +% \item To display the type of approximation: +% \end{itemize} +% +% \lstinputlisting[firstnumber=1,firstline=60,lastline=60]{Code/ex3.m} +%\end{frame} +%%}}} +%\section{Diagnostic} +%\subsection{Diagnostic parameters} +%\begin{frame} \frametitle{Diagnostic parameters}%{{{ +% Most diagnostic parameters can be found in {\tt md.diagnostic} +% \vspace{-0.5em} +% \lstinputlisting[basicstyle=\lstbasicfont\Tiny,firstnumber=1,firstline=94,lastline=125]{Code/ex3.m} +% +% Launch diagnostic solution with: +% \vspace{-0.5em} +% \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=149,lastline=149]{Code/ex3.m} +%\end{frame} +%%}}} +%\subsection{Boundary conditions} +%\begin{frame} \frametitle{Boundary conditions}%{{{ +% +% \begin{itemize} +% \item {\tt >> md=SetIceSheetBC(md)} +% \item[$\rightarrow$] Dirichlet BC for all nodes on boundary +% \item[] +% \item {\tt >> md=SetIceShelf(md,'Front.exp')} +% \item[$\rightarrow$] Neumann BC for all nodes on boundary in {\tt 'Front.exp'} +% \item[$\rightarrow$] Dirichlet BC for all other nodes on boundary +% \item[] +% \item {\tt >> md=SetMarineIceSheefBC(md)} +% \item[$\rightarrow$] Dirichlet BC for all nodes on grounded boundary +% \item[$\rightarrow$] Neumann BC for all nodes on floating boundary +% \end{itemize} +%\end{frame} +%%}}} +%\section{Prognostic} +%\begin{frame} \frametitle{Prognostic parameters}%{{{ +% +% Most prognostic parameters can be found in {\tt md.prognostic} +% +% \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=71,lastline=82]{Code/ex3.m} +% +%\end{frame} +%%}}} +%\begin{frame} \frametitle{Prognostic parameters}%{{{ +% +% Use {\tt md.timestepping} to change the time step: +% \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=84,lastline=92]{Code/ex3.m} +% +% Launch prognostic solution with: +% \lstinputlisting[basicstyle=\lstbasicfont\normalsize,firstnumber=1,firstline=151,lastline=151]{Code/ex3.m} +% +%\end{frame} +%%}}} +%\section{Transient 2D} +%\subsection{Transient solution} +%\begin{frame} \frametitle{Transient solution}%{{{ +% Most transient parameters can be found in {\tt md.transient} +% +% \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=127,lastline=136]{Code/ex3.m} +% +% \vspace{0.5em} +% Transient solutions in 2D combine: +% \begin{itemize} +% \item diagnostic +% \item prognostic +% \item grounding line +% \end{itemize} +% +% \vspace{0.5em} +% $\rightarrow$ Some of these components can be deactivated +%\end{frame} +%%}}} +%\begin{frame} \frametitle{Transient solution}%{{{ +% +% Use {\tt md.timestepping} to change the time step: +% +% \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=84,lastline=92]{Code/ex3.m} +% +% Launch transient solution with: +% \lstinputlisting[basicstyle=\lstbasicfont\normalsize,firstnumber=1,firstline=153,lastline=153]{Code/ex3.m} +%\end{frame} +%%}}} +%\section{Extrusion} +%\begin{frame} \frametitle{Extrusion}%{{{ +% \begin{itemize} +% \item {\tt extrude} is used to extrude the 2d mesh into a 3d mesh +% \item Arguments: +% \begin{enumerate} +% \item model +% \item number of layers +% \item lower extrusion exponent +% \item upper extrusion exponent (optional) +% \end{enumerate} +% \item Examples +% \end{itemize} +% \lstinputlisting[firstnumber=1,firstline=67,lastline=69]{Code/ex3.m} +% \begin{itemize} +% \item To display the mesh: +% \end{itemize} +% \lstinputlisting[firstnumber=1,firstline=3,lastline=3]{Code/Square.m} +%\end{frame} +%%}}} +%\section{Thermal} +%\begin{frame} \frametitle{Thermal solution}%{{{ +% Most thermal parameters can be found in {\tt md.thermal} +% +% \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=138,lastline=147]{Code/ex3.m} +% +% \vspace{0.5em} +% Thermal solution in 3D only to compute +% \begin{itemize} +% \item thermal steady state +% \item thermal transient +% \item[$\rightarrow$] Controlled by {\tt md.timestepping.timestep} +% \end{itemize} +% +% \vspace{0.5em} +% Launch thermal solution with: +% \lstinputlisting[basicstyle=\lstbasicfont\normalsize,firstnumber=1,firstline=155,lastline=155]{Code/ex3.m} +% +%\end{frame} +%%}}} +%\section{Transient 3D} +%\begin{frame} \frametitle{Transient solution}%{{{ +% Most transient parameters can be found in {\tt md.transient} +% +% \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=127,lastline=136]{Code/ex3.m} +% +% Transient solutions in 3D combine: +% \begin{itemize} +% \item thermal +% \item diagnostic +% \item prognostic +% \item grounding line +% \end{itemize} +% +% \vspace{0.5em} +% $\rightarrow$ Some of these components can be deactivated +%\end{frame} +%%}}} +% +%\section{Website} +% +%\begin{frame}\frametitle{ISSM Website Help Resources}% {{{ +% \begin{itemize} +% \item Installation (\url{issm.jpl.nasa.gov/installation}) +% \item Documentation (\url{issm.jpl.nasa.gov/documentation}) +% \begin{itemize} +% \item Ice Sheet Modeling fundamentals +% \item User's Manual +% \item Validation Manual +% \item Tutorials +% \item FAQ +% \end{itemize} +% %\item trac website (\url{https://issm-svn.jpl.nasa.gov:80/trac/issm}) +% %\item doxygen (\url{http://issm.jpl.nasa.gov/doxygen/doc_c/chtml/index.html}) +% % \begin{itemize} +% % \item C/C++ source code documentation +% % \end{itemize} +% \end{itemize} +%\end{frame}%}}} +%\begin{frame}\frametitle{\alert{Trac} Website}% {{{ +% Trac is an enhanced wiki and issue tracking system for software development projects. +% \begin{itemize} +% \item[$\rightarrow$] \url{https://issm.ess.uci.edu:80/trac/issm} +% \item[$\rightarrow$] Also available via "Developers Site" link on ISSM webpage +% \item[$\rightarrow$] Main page is a wiki +% \end{itemize} +% %\begin{description}[<+->][Browse Source] +% % \item[Wiki] Project wiki +% % \begin{itemize}[<+->] +% % \item Note the link "Correspondence between old model fields and new model fields" +% % \end{itemize} +% % \item[Timeline] Browser interface to the ISSM subversion version control system +% % \begin{itemize}[<+->] +% % \item Click on a changeset to view code changes +% % \end{itemize} +% % \item[Browse Source] Source code browser +% % \item[New Ticket] Submit a bug ticket +% %\end{description} +%\end{frame}%}}} +%\begin{frame}\frametitle{\alert{Doxygen} Website}% {{{ +%Doxygen is an online documentation and source code browser. The ISSM source code can be searched +%and browsed here: +% \begin{itemize} +% \item[$\rightarrow$] \url{http://issm.jpl.nasa.gov/doxygen/doc_c/chtml/index.html} +% \item[$\rightarrow$] "Doxygen" link on ISSM webpage +% \item Useful for learning about structure of code, searching for functions/classes/objects, +% learning class hierarchy, etc. +% \end{itemize} +%\end{frame}% }}} +% +%\section[Command-Line]{Command-Line Utilities} +% +%\begin{frame}\frametitle{MATLAB Help Resources}% {{{ +% \begin{itemize} +% \item Type 'issmdoc' at the command prompt to get started with ISSM +% \item Type 'help' followed by function/class/object name +% \begin{itemize} +% \item Works for ISSM-specific as well as generic MATLAB classes/functions/objects +% \end{itemize} +% \end{itemize} +% \lstinputlisting[firstline=6,lastline=8]{Code/ex1.m} +%\end{frame}%}}} +%\begin{frame}\frametitle{Plotting Help}% {{{ +% \begin{itemize} +% \item Type 'plotdoc' at the MATLAB command prompt for a list of plot capabilities and options +% \end{itemize} +% \lstinputlisting[firstline=5,lastline=5]{Code/ex1.m} +% \begin{itemize} +% \item Many plot examples in User's Manual (\url{issm.jpl.nasa.gov/documentation/usersmanual/}) +% \end{itemize} +%\end{frame}% }}} +% +%\section[Contacts]{Contacting the ISSM Team} +% +%%\begin{frame}\frametitle{ISSM Skype Channels}%{{{ +%% \includegraphics[width=0.9\textwidth]{skype-screenshot1.png} +%%\end{frame}%}}} +%\begin{frame}\frametitle{ISSM Skype Channels}%{{{ +% \includegraphics[width=0.9\textwidth]{skype-screenshot2.png} +%\end{frame}%}}} +%\begin{frame}\frametitle{ISSM Skype Channels}%{{{ +% \begin{itemize} +% \item "ISSM" is a running skype chat conversation among anyone involved in the development/use +% of ISSM +% \item This is the fastest and most convenient way to contact ISSM team members and get help +% \item To join this conversation, send a contact request to one of the ISSM team members. Once +% approved, he/she will add you to the conversation +% \end{itemize} +%\end{frame}%}}} +% +%\begin{frame}\frametitle{Requesting Additional Help}% {{{ +% Email the ISSM team at \texttt{issm@jpl.nasa.gov} +% +%\end{frame}% }}} +%%}}} + +\end{document} Index: /issm/workshop/2012/Talks/01_Teasers/Makefile =================================================================== --- /issm/workshop/2012/Talks/01_Teasers/Makefile (revision 14029) +++ /issm/workshop/2012/Talks/01_Teasers/Makefile (revision 14029) @@ -0,0 +1,40 @@ +#Makefile for beamer +TARGET=01_Teasers + +export TEXINPUTS=$(JPL_SVN)/publications/templates/beamer/Theme/Pasadena//: + +all: one + +one: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +complete: + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex +# bibtex $(TARGET) + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +bib: + bibtex $(TARGET) + +links: + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/general/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/subtheme/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/ML/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/graphics/JPL/*.pdf . + +unlinks: + find . -maxdepth 1 -type l -print | xargs rm + +open: + open -a /Applications/Adobe\ Reader\ 9/Adobe\ Reader.app/ $(TARGET).pdf + +clean: + rm -f ${TARGET}.{dvi,ps,pdf,toc,log,aux,out,nav,snm,bbl,blg,vrb} + +allclean: + make clean + make unlinks Index: /issm/workshop/2012/Talks/01_Teasers/mcode.sty =================================================================== --- /issm/workshop/2012/Talks/01_Teasers/mcode.sty (revision 14029) +++ /issm/workshop/2012/Talks/01_Teasers/mcode.sty (revision 14029) @@ -0,0 +1,280 @@ +%% +%% This is file `mcode.sty' +%% +%% It is supposed to help you easily include MATLAB source code +%% into LaTeX document, but have it nicely highlighted, using +%% the great listings package. +%% +%% PLEASE NOTE that this package does nothing but save you from +%% figuring out some configurations in setting up the LISTINGS +%% package. ALL the work is done by that package! Thus, please +%% refer your questions to the listings package documentation. +%% +%% Usage: You have three ways of including your MATLAB code. As +%% environment, as inline object and directly from an external +%% file. +%% +%% 1) Environment: +%% +%% \begin{lstlisting} +%% YOUR CODE HERE +%% \end{lstlisting} +%% +%% +%% 2) Inline object: +%% +%% Bla bla \mcode{CODEFRAGMENT} bla bla. +%% +%% +%% 3) Include external file (in environment form) +%% +%% \lstinputlisting{YOUR-FILE.m} +%% +%% +%% For your convenience this package has the following options: +%% +%% - bw if you intend to print the document (highlighting done +%% via text formatting (bold, italic) and shades of gray) +%% +%% - numbered if you want line numbers +%% +%% - autolinebreaks if you want the package to automatically +%% wrap your code. This is buggy as it may well break +%% break syntax and it doesn't work well with comments. +%% You REALLY should wrap your code manually. +%% +%% - useliterate if you want some characters / relations in +%% your code to be replace with something more readable. +%% Example: ~= becomes $\neq$, >= becomes $\geq$, delta +%% becomes $\delta$ and so on. +%% +%% - framed if you want a frame around the source code blocks +%% +%% - final if you have ``gloablly'' set the draft option, the +%% listings package will not output the code at all. to +%% force it to do so anyway, load this package with the +%% final option (passes the ``final'' on to listings). +%% +%% For example, you may use \usepackage[numbered,framed]{mcode} +%% in your document preamble. +%% +%% Note: Inside code blocks you can escape to LaTeX text mode +%% using §...§. For ex. §text and some math: $x^2$§, which is +%% especially useful in comments for putting nicely typeset +%% equations etc. To get the same colour/style as in the rest +%% of the comment use \mcommentfont, i.e. §\mcommentfont $x^2$§ +%% +%% To change the font used, edit the first line in the "custo- +%% mise below" section. And feel free to edit other things as +%% well. Refer to the documentation of the listings package to +%% see what else you could do. If an extra small font is re- +%% quired, use {\fontfamily{pcr}\fontsize{3}{4.6}\selectfont} +%% in the definition of \lstbasicfont. +%% +%% Author: +%% Florian Knorn | florian@knorn.org | www.florian-knorn.com +%% +%% Version history: +%% 2.2 -- Bugfix (thanks Willi Gerbig!) +%% 2.1 -- Finally automatic detection between end and end +%% 2.0 -- New options for line breaking and literate prog. +%% 1.8 -- Fixed typo in documentation regarding §...§ +%% 1.7 -- Added MATLAB block comment syntax %{ ...... %} +%% 1.6 -- Added some infos, dealing with keyword ``end'' +%% 1.5 -- Tweaked check to see wether textcomp is loaded +%% 1.4 -- Fixed misconfig (mathescape now set to false) +%% 1.3 -- Purely cosmetic (tabs replaced by spaces) +%% 1.2 -- Added \lstset{showstringspaces=false} +%% 1.1 -- Added \mcode command and [final] option +%% 1.0 -- Release + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% D O N ' T T O U C H T H I S % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\fileversion{2.2} +\def\filedate{2011/08/26} + +\typeout{-- Package: `mcode' \fileversion\space <\filedate> --} +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mcode}[\filedate\space\fileversion] + +% for bw-option +\newif\ifbw +\DeclareOption{bw}{\bwtrue} + +% numbered option +\newif\ifnumbered +\DeclareOption{numbered}{\numberedtrue} + +% final option +\newif\iffinal +\DeclareOption{final}{\finaltrue} + +% autolinebreaks option +\newif\ifautolinebreaks +\DeclareOption{autolinebreaks}{\autolinebreakstrue} + +% literate programming (replace certain characters/relations +\newif\ifuseliterate +\DeclareOption{useliterate}{\useliteratetrue} + +% framed option +\newif\ifframed +\DeclareOption{framed}{\framedtrue} + +\DeclareOption*{% default + \PackageWarning{mcode}{Unknown option `\CurrentOption' !}% +} +\ProcessOptions + +\ifbw\typeout{ - settings optimized for printing (bw formating)} +\else\typeout{ - settings optimized for display (colour formating)}\fi +\ifnumbered\typeout{ - line numbering enabled}\else\fi +\ifuseliterate\typeout{ - literate programming (character replacements) enabled}\else\fi +\ifautolinebreaks\typeout{ - automatic line breaking enabled (careful, buggy!)}\else\fi +\ifframed\typeout{ - framed listings}\else\fi + +% This command allows you to typeset syntax highlighted Matlab +% code ``inline''. The font size \small seems to look best... +\newcommand{\mcode}[1]{\lstinline[basicstyle=\lstbasicfont\small]|#1|} + +% check if color command exists +\ifx\color\undefined% + \RequirePackage{xcolor}% +\fi + +% check if listings has been loaded +\ifx\lstset\undefined% + \iffinal + \RequirePackage[final]{listings} + \else + \RequirePackage{listings} + \fi +\fi + +% Check if textcomp has been loaded (this package is needed for +% upright quotes '' (instead of typographic ones `´)... +\ifx\textquotesingle\undefined% + \RequirePackage{textcomp}% +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% C U S T O M I S E B E L O W % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% --------------------------------------------------------------------------------- +% default font +\def\lstbasicfont{\fontfamily{pcr}\selectfont\footnotesize} + +% --------------------------------------------------------------------------------- +% matlat languate definition +\lstdefinelanguage{matlabfloz}{% + alsoletter={...},% + morekeywords={% % keywords + break,case,catch,continue,elseif,else,end,for,function,global,% + if,otherwise,persistent,return,switch,try,while,...},% + comment=[l]\%, % comments + morecomment=[l]..., % comments + morecomment=[s]{\%\{}{\%\}}, % block comments + morestring=[m]' % strings +}[keywords,comments,strings]% + +% --------------------------------------------------------------------------------- +% general definitions +\lstset{% + basicstyle={\lstbasicfont}, % set font + showstringspaces=false, % do not emphasize spaces in strings + tabsize=3, % number of spaces of a TAB + mathescape=false,escapechar=§, % escape to latex with §...§ + upquote=true, % upright quotes + aboveskip={1.5\baselineskip}, % a bit of space above listings + columns=fixed % nice spacing +} + +% --------------------------------------------------------------------------------- +% define colours and styles +\ifbw % use font formating and gray 'colors' + \def\mcommentfont{\color[gray]{.75}\itshape} %comments light gray and italic + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\bfseries, % keywords in bold + commentstyle=\mcommentfont, % comments + stringstyle=\color[gray]{0.5} % strings darker gray + } +\else% notbw => use colors : ) + \def\mcommentfont{\color[rgb]{.133,.545,.133}} %comments in green + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\color[rgb]{0,0,1}, % keywords in blue + commentstyle=\mcommentfont, % comments + stringstyle=\color[rgb]{.627,.126,.941} % strings in purple + } +\fi%bw + +% --------------------------------------------------------------------------------- +% automatic line breaking --- warning, this is buggy and +% doesn't break comments correctly! +\ifautolinebreaks + \newsavebox{\lbreakdots}\sbox{\lbreakdots}{\lstbasicfont\mcommentfont...} + \lstset{breaklines=true,breakatwhitespace=true,prebreak=\usebox{\lbreakdots}} +\fi + +% --------------------------------------------------------------------------------- +% literate replacements +% the following is for replacing some matlab relations like >= or ~= +% by the corresponding LaTeX symbols, which are much easier to read ... +\ifuseliterate + \lstset{% + literate=% + {~}{{$\neg$}}1 % \neg + {<=}{{\tiny$\leq$}}1 % \leq + {>=}{{\tiny$\geq$}}1 % \geq + {~=}{{\tiny$\neq$}}1 % \neq + {delta}{{\tiny$\Delta$}}1 % \Delta + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\else + \lstset{% + literate=% + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\fi%literates + +% --------------------------------------------------------------------------------- +% line numbering +\ifnumbered% numbered option + \lstset{% + numbersep=3mm, numbers=left, numberstyle=\tiny, % number style + } +\fi + +\ifframed% framed option + \lstset{% + frame=single, % frame + } + \ifnumbered% + \lstset{% + framexleftmargin=6mm, xleftmargin=6mm % tweak margins + } + \fi +\fi + +\endinput +%% End of file `mcode.sty'. Index: /issm/workshop/2012/Talks/02_Capabilities/02_Capabilities.tex =================================================================== --- /issm/workshop/2012/Talks/02_Capabilities/02_Capabilities.tex (revision 14029) +++ /issm/workshop/2012/Talks/02_Capabilities/02_Capabilities.tex (revision 14029) @@ -0,0 +1,912 @@ +%Preamble {{{1 +\documentclass[9pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[jpl,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{movie15} + +\graphicspath{ % directories where the pictures are located +{Images/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen +\setbeamercovered{transparent} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{1 +\newcommand*{\MAT}[1]{\ensuremath{\mathbf{#1}} } %Matrice name (Bold) +\newcommand*{\VEC}[1]{\ensuremath{\bm{#1}} } %Vector name (Bold Italic) +\newcommand*{\SET}[1]{\ensuremath{\mathcal{#1} }} %Set, Space (italic) +\newcommand*{\R}[0]{{\mathbb R}} %real set IR +\newcommand*{\N}[0]{{\mathbb N}} %natural set IN +\newcommand*{\Trace}[1]{\text{Tr}\left( #1\right)} %trace (Tr(A)) +\newcommand*{\abs}[1]{\left| #1\right|} %absolute value |x| +\newcommand*{\norm}[1]{\left\| #1 \right\|} %norm ||x|| +\newcommand*{\ent}[1]{\lfloor #1 \rfloor} %floor function [f] +\newcommand*{\grad}[1]{\nabla #1} +\newcommand*{\divergence}[1]{\nabla \cdot #1} +\newcommand*{\Divergence}[1]{\nabla \cdot #1} +\newcommand*{\eps}[0]{\dot{\bm \varepsilon}} %strain rate tensor +\newcommand*{\epseff}[0]{\ensuremath{\dot{\varepsilon}_{e} }} %effective strain rate +\newcommand*{\epscomp}[0]{\dot{\varepsilon}} %strain rate tensor component +\newcommand*{\stress}[0]{{\bm \sigma}} %stress tensor +\newcommand*{\devstress}[0]{\stress'} %deviatoric stress tensor +\newcommand*{\stresscomp}[0]{\ensuremath{\sigma}} %stress tensor component +\newcommand*{\vel}[0]{\VEC{v}} %velocity vector +\newcommand*{\velbar}[0]{\VEC{\bar{v} }} %velocity vector BAR +\newcommand*{\velobs}[0]{\ensuremath{\VEC{v}^{\text{obs}} }}%velocity obs +\newcommand*{\ubar}[0]{\ensuremath{\overline{v}_x}} %velocity vector BAR +\newcommand*{\vbar}[0]{\ensuremath{\overline{v}_y}} %velocity vector BAR +\newcommand*{\vx}[0]{\ensuremath{v_x}} %vx +\newcommand*{\vy}[0]{\ensuremath{v_y}} %vy +\newcommand*{\vz}[0]{\ensuremath{v_z}} %vz +\newcommand*{\vxobs}[0]{\ensuremath{v_x^{\text{obs}} }}%vx obs +\newcommand*{\vyobs}[0]{\ensuremath{v_y^{\text{obs}} }}%vy +\newcommand*{\pressure}[0]{p} %pressure +\newcommand*{\nx}[0]{\ensuremath{n_x}} %nx +\newcommand*{\ny}[0]{\ensuremath{n_y}} %ny +\newcommand*{\nz}[0]{\ensuremath{n_z}} %nz +\newcommand*{\Lagrangian}[0]{\ensuremath{\mathcal{L} }} +\newcommand*{\Ms}[0]{\ensuremath{\dot{M}_s}} +\newcommand*{\Mb}[0]{\ensuremath{\dot{M}_b}} +%%Automatically insert outline slide at the begining of each new subsection (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsubsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{1 +\title[Capabilities]{Ice Sheet System Model} +\subtitle{ISSM Capabilities} +\author[Larour et al.]{ +\textbf{Eric \textsc{Larour}}\inst{1}, +Eric \textsc{Rignot}\inst{1,3}, +Mathieu \textsc{Morlighem}\inst{1,2}, +H\'el\`ene \textsc{Seroussi}\inst{1,2} +Chris \textsc{Borstad}\inst{1}, +Feras \textsc{Habbal}\inst{1,3}, +Daria \textsc{Halkides}\inst{1,4}, +Behnaz \textsc{Khakbaz}\inst{1}, +John \textsc{Schiermeier}\inst{1}, +Nicole \textsc{Schlegel}\inst{1} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}Laboratoire MSSMat, \'Ecole Centrale Paris, France\\ +\inst{3}University of California, Irvine\\ +\inst{4}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2011]{ISSM Workshop 2011} +\date[]{\hspace{-15em}December 2011\hspace{3em}\copyright Copyright 2011. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} +\begin{document} + +%Title slide %{{{1 +\begin{frame}[plain] %No headers or footers + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Outline}%{{{1 + \tableofcontents +\end{frame}%}}} + +\section{Introduction} +\begin{frame}{Introduction}{History of ISSM}%{{{1 + \begin{center} + \includegraphics[width=\textwidth]{history} + \end{center} +\end{frame}%}}} + +\section{Capabilities} +\subsection{Diagnostic Models} +\begin{frame}{Diagnostic models of ice flow}%{{{1 +Solve mechanical stress-equilibrium for the entire ice sheet/ice shelf. Can be done in 2D (SSA) or +3D (SIA, Higher-order, Full-Stokes). Material is isotropic nonlinear (Glen's law) in the creep +regime of deformation. +\begin{center} + \begin{columns} + \column{0.4\textwidth} + \includegraphics[width=\textwidth]{equations4} + \column{0.5\textwidth} + \includegraphics[width=\textwidth]{square_ice_shelf_vel} + \end{columns} +\end{center} +\end{frame}%}}} + +\subsection{Inversion} +\begin{frame}{Inversion}%{{{1 + Rely on surface velocities (InSAR) to inver unknown parameters in the ice flow equations, such as + viscosity, ice rigidity or basal drag. + + \begin{center} + \includegraphics[width=0.9\textwidth]{equations5} + \end{center} +\end{frame}%}}} +\begin{frame}{Inversion}%{{{1 + \begin{center} + \includegraphics[width=0.6\textwidth]{antarctica_8panel} + \end{center} +\end{frame}%}}} + +\subsection{Parallel Computing} +\begin{frame}{Parallel computing}%{{{1 + \begin{columns} + \column{0.4\textwidth} + \begin{itemize} + \item ISSM can run on any platform (multi-core desktop), shared or distributed cluster + \item C++ implementation of computational core using MPICH and PETSc libraries + array of + parallel libraries for partitioning, iterative and direct solvers + \item Multi-threading of pre and post-processing modules to increase speed significantly + \end{itemize} + \column{0.6\textwidth} + \includegraphics[width=\textwidth]{parallel_compare} + \end{columns} +\end{frame}%}}} + +\subsection{Rifting/Faulting} +\begin{frame}{Rifting/Faulting}%{{{1 +ISSM can account for the presence of rifts and faults in an ice shelf by carrying out a steady-state +computation of the contact within the rifts/faults. +\begin{center} + \includegraphics[width=0.8\textwidth]{rifts} +\end{center} +\end{frame}%}}} +\begin{frame}{Rifting/Faulting}%{{{1 + \begin{itemize} + \item Rifting and faulting account for contact stresses and the presence of melange + \item This is not an initiation or propagation capability + \item Relies on penalty methods to enforce contact conditions between flanks of rifts + \item Relies on diagnostic model to compute stresses across ice shelf + \begin{itemize} + \item This is not an LEFM capability. It assumes the entire ice shelf is creeping, and + there is no inclusion of elastic stresses + \end{itemize} + \end{itemize} +\end{frame}%}}} + +\subsection{Higher-order, Full-Stokes} +\begin{frame}{Higher-order and Full-Stokes modeling}%{{{1 + \begin{columns} + \column{0.5\textwidth} + \begin{itemize} + \item ISSM relies on the the 2D SSA to capture longitudinal stresses, 3D Blatter/Pattyn to + capture vertical shear stresses and full-Stokes equations to capture all stresses within + the ice sheet + \item Activation of all three formulations is seamless, relying on almost the same model setup + $\rightarrow$ experimentation is easy + \item Coupled with parallel computing and anisotropic meshing, higher-order modeling at the + continental scale is achievable with reasonable resolutions + \end{itemize} + \column{0.5\textwidth} + \includegraphics[width=\textwidth]{greenland_model_compare} + \end{columns} +\end{frame}%}}} + +\subsection{Anisotropic Adaptation} +\begin{frame}{Anisotropic adaptation}%{{{1 + \begin{columns} + \column{0.3\textwidth} + \begin{itemize} + \item Adapt mesh according to a metric, such as surface velocity + \item Static capability, not transient adaptation + \item Relies on a rewrite of the BAMG anisotropic mesher \cite{Hecht2006} + \end{itemize} + \column{0.7\textwidth} + \includegraphics[width=\textwidth]{anisotropic_mesh} + \end{columns} +\end{frame}%}}} + +\subsection{Prognostic Models} +\begin{frame}{Prognostic modeling}%{{{1 + \begin{itemize} + \item Mass transport equations: + \end{itemize} + + \hspace{0.1\textwidth}\includegraphics[width=0.4\textwidth]{equations12.png} + + \begin{itemize} + \item Update of surface and bed is hydrostatic on ice shelves. For ice sheets, surface is + updated assuming the bedrock is fixed + \item Mass transport equations are coupled with diagnostic and thermal models to allow for + complete transient models to be run (SeaRISE 2011) + \item Boundary conditions assume fixed thickness at the ice divide, and free flux of mass at the + calving front or the grounded margins + \item Calving front dynamics not included yet + \item Grounding line dynamics is hydrostatically treated + \end{itemize} +\end{frame}%}}} + +\subsection{Thermal Analysis} +\begin{frame}{Thermal modeling}%{{{1 + \begin{columns} + \column{0.5\textwidth} + \begin{itemize} + \item Thermal model, full-advection and full-diffusion in 3D + viscous heating. Mesh + velocity in vertical direction. + \end{itemize} + \[ \frac{\partial T}{\partial t} = \left(\VEC{w} - \VEC{v}\right)\cdot\nabla T + \frac{k_{th}}{\rho c}\Delta + T + \frac{\Phi}{\rho c}\] + %\includegraphics[width=\textwidth]{equations13a} + \begin{itemize} + \item Boundary conditions: + \begin{itemize} + \item $T = T_s$ at surface + \item At ice/bed interface: + \end{itemize} + \end{itemize} + %\includegraphics[width=0.8\textwidth]{equations13c} + \[ k_{th}\nabla T \cdot \VEC{n} = G - \VEC{\tau}_b \cdot \VEC{v}_b \] + \begin{itemize} + \item \cite{Holland1999} at the ice/ocean interface: + \end{itemize} + %\includegraphics[width=0.9\textwidth]{equations13d} + \[ k_{th}\nabla T \cdot \VEC{n} = -\rho_w c_p M \gamma\left(T-T_f\right)\] + \column{0.5\textwidth} + \includegraphics[width=\textwidth]{antarctica_thermal} + \end{columns} +\end{frame}%}}} +\begin{frame}{Melting at the ice/bed interface}%{{{1 + \begin{columns} + \column{0.6\textwidth} + \begin{itemize} + \item Two models for computing melting rates: + \begin{itemize} + \item Linear model where computation of temperatures is updated once for each temperature that + goes above pressure melting point + \item Non-linear model where fixed-point scheme is used, where temperatures are updated until + all of temperature field is below or at pressure melting point + \end{itemize} + \end{itemize} + Melting rate is recovered using: + + \hspace{0.1\paperwidth}\includegraphics[width=0.4\textwidth]{equations14} + + where $T^*$ is the temperature without pressure melting point constraints and $T$ is the + temperature after application of constraints. Non-linear model results in much lower melting rates, even though locations for melting are + similar. It is critical to take into account non-linearity of thermal model, at least in steady-state! + \column{0.4\textwidth} + \includegraphics[width=\textwidth]{antarctica_melting} + \end{columns} +\end{frame}%}}} + +\subsection{Sensitivity Analysis} +\begin{frame}{Sensitivity analysis}%{{{1 + \begin{columns} + \column{0.4\textwidth} + \begin{itemize} + \item Sampling and local reliability methods to study the impact of different areas of the + mesh + \item Sampling of the mesh using Chaco, Scotch and Metis partitioners + \item Partition the mesh into equal area subsections, which can be then updated for each sample of a + Monte-Carlo or local reliability simulation + \end{itemize} + \column{0.6\textwidth} + \includegraphics[width=\textwidth]{pig_sensitivity} +\end{columns} +\end{frame}%}}} +\begin{frame}{Sensitivity analysis}%{{{1 + \begin{columns} + \column{0.5\textwidth} + \begin{itemize} + \item Results can then be plotted in histograms for sampling analysis or importance factors + for local reliability methods + \end{itemize} + \includegraphics[width=\textwidth]{pig_sensitivity2} + \column{0.5\textwidth} + \includegraphics[width=\textwidth]{pig_sensitivity_hist} + \end{columns} +\end{frame}%}}} + +\subsection{Ice Thickness Assimilation} +\begin{frame}{Assimilation of ice thickness (balanced thickness)}%{{{1 + \begin{itemize} + \item Ice thickness can be optimized to ensure smooth divergence of the flux (thinning + rate) \cite{Morlighem2011} + \end{itemize} + \begin{center} + \includegraphics[width=0.8\textwidth]{Images/79nThickness} + \end{center} +\end{frame}%}}} + +\subsection{3D Hydrostatic Grounding Line Migration} +\begin{frame}{3D Hydrostatic grounding line migration}%{{{1 + \begin{itemize} + \item At each time step of the transient ice flow solution, we check the following for every + vertex of the mesh: + \item[] $b \leq b_a$ where $b_a$ is the depth of the glacier bed or seafloor. For most ice sheet/ice + shelf configurations, $b$ is negative. If this condition is verified for a floating vertex + (i.e., on an ice shelf), we ground the vertex and force $b = b_a$ + \item[] $b > b_{HE}$ where $b_{HE}$ is the depth of the bottom of the ice in hydrostatic equilibrium: + $b_{HE} = −H\rho/\rho_w$. If this condition is verified for a grounded vertex (i.e., on the ice sheet), + we unground the vertex and force $b = b_{HE}$ + \end{itemize} +\end{frame}%}}} +\begin{frame}{3D Hydrostatic grounding line migration}%{{{1 + \includegraphics<1>[width=\textwidth]{LongTransient-1.png} + \includegraphics<2>[width=\textwidth]{LongTransient-2.png} + \includegraphics<3>[width=\textwidth]{LongTransient-3.png} + \includegraphics<4>[width=\textwidth]{LongTransient-4.png} + \includegraphics<5>[width=\textwidth]{LongTransient-5.png} + \includegraphics<6>[width=\textwidth]{LongTransient-6.png} + \includegraphics<7>[width=\textwidth]{LongTransient-7.png} + \includegraphics<8>[width=\textwidth]{LongTransient-8.png} + \includegraphics<9>[width=\textwidth]{LongTransient-9.png} + \includegraphics<10>[width=\textwidth]{LongTransient-10.png} + \includegraphics<11>[width=\textwidth]{LongTransient-11.png} + \includegraphics<12>[width=\textwidth]{LongTransient-12.png} + \includegraphics<13>[width=\textwidth]{LongTransient-13.png} + \includegraphics<14>[width=\textwidth]{LongTransient-14.png} + \includegraphics<15>[width=\textwidth]{LongTransient-15.png} + \includegraphics<16>[width=\textwidth]{LongTransient-16.png} + \includegraphics<17>[width=\textwidth]{LongTransient-17.png} + \includegraphics<18>[width=\textwidth]{LongTransient-18.png} + \includegraphics<19>[width=\textwidth]{LongTransient-19.png} + \includegraphics<20>[width=\textwidth]{LongTransient-20.png} + \includegraphics<21>[width=\textwidth]{LongTransient-21.png} + \includegraphics<22>[width=\textwidth]{LongTransient-22.png} + \includegraphics<23>[width=\textwidth]{LongTransient-23.png} + \includegraphics<24>[width=\textwidth]{LongTransient-24.png} + \includegraphics<25>[width=\textwidth]{LongTransient-25.png} + \includegraphics<26>[width=\textwidth]{LongTransient-26.png} + \includegraphics<27>[width=\textwidth]{LongTransient-27.png} + \includegraphics<28>[width=\textwidth]{LongTransient-28.png} + \includegraphics<29>[width=\textwidth]{LongTransient-29.png} + \includegraphics<30>[width=\textwidth]{LongTransient-30.png} + \includegraphics<31>[width=\textwidth]{LongTransient-31.png} + \includegraphics<32>[width=\textwidth]{LongTransient-32.png} + \includegraphics<33>[width=\textwidth]{LongTransient-33.png} + \includegraphics<34>[width=\textwidth]{LongTransient-34.png} + \includegraphics<35>[width=\textwidth]{LongTransient-35.png} + \includegraphics<36>[width=\textwidth]{LongTransient-36.png} + \includegraphics<37>[width=\textwidth]{LongTransient-37.png} + \includegraphics<38>[width=\textwidth]{LongTransient-38.png} + \includegraphics<39>[width=\textwidth]{LongTransient-39.png} +\end{frame}%}}} +\begin{frame}{3D Hydrostatic grounding line migration}%{{{1 + \includegraphics<1>[width=0.9\textwidth]{GroundingLine-1.png} + \includegraphics<2>[width=0.9\textwidth]{GroundingLine-2.png} + \includegraphics<3>[width=0.9\textwidth]{GroundingLine-3.png} + \includegraphics<4>[width=0.9\textwidth]{GroundingLine-4.png} + \includegraphics<5>[width=0.9\textwidth]{GroundingLine-5.png} + \includegraphics<6>[width=0.9\textwidth]{GroundingLine-6.png} + \includegraphics<7>[width=0.9\textwidth]{GroundingLine-7.png} + \includegraphics<8>[width=0.9\textwidth]{GroundingLine-8.png} + \includegraphics<9>[width=0.9\textwidth]{GroundingLine-9.png} + \includegraphics<10>[width=0.9\textwidth]{GroundingLine-10.png} + \includegraphics<11>[width=0.9\textwidth]{GroundingLine-11.png} + \includegraphics<12>[width=0.9\textwidth]{GroundingLine-12.png} + \includegraphics<13>[width=0.9\textwidth]{GroundingLine-13.png} + \includegraphics<14>[width=0.9\textwidth]{GroundingLine-14.png} + \includegraphics<15>[width=0.9\textwidth]{GroundingLine-15.png} + \includegraphics<16>[width=0.9\textwidth]{GroundingLine-16.png} + \includegraphics<17>[width=0.9\textwidth]{GroundingLine-17.png} + \includegraphics<18>[width=0.9\textwidth]{GroundingLine-18.png} + \includegraphics<19>[width=0.9\textwidth]{GroundingLine-19.png} + \includegraphics<20>[width=0.9\textwidth]{GroundingLine-20.png} + \includegraphics<21>[width=0.9\textwidth]{GroundingLine-21.png} + \includegraphics<22>[width=0.9\textwidth]{GroundingLine-22.png} + \includegraphics<23>[width=0.9\textwidth]{GroundingLine-23.png} + \includegraphics<24>[width=0.9\textwidth]{GroundingLine-24.png} + \includegraphics<25>[width=0.9\textwidth]{GroundingLine-25.png} + \includegraphics<26>[width=0.9\textwidth]{GroundingLine-26.png} + \includegraphics<27>[width=0.9\textwidth]{GroundingLine-27.png} + \includegraphics<28>[width=0.9\textwidth]{GroundingLine-28.png} + \includegraphics<29>[width=0.9\textwidth]{GroundingLine-29.png} + \includegraphics<30>[width=0.9\textwidth]{GroundingLine-30.png} + \includegraphics<31>[width=0.9\textwidth]{GroundingLine-31.png} + \includegraphics<32>[width=0.9\textwidth]{GroundingLine-32.png} + \includegraphics<33>[width=0.9\textwidth]{GroundingLine-33.png} + \includegraphics<34>[width=0.9\textwidth]{GroundingLine-34.png} + \includegraphics<35>[width=0.9\textwidth]{GroundingLine-35.png} + \includegraphics<36>[width=0.9\textwidth]{GroundingLine-36.png} + \includegraphics<37>[width=0.9\textwidth]{GroundingLine-37.png} + \includegraphics<38>[width=0.9\textwidth]{GroundingLine-38.png} +\end{frame}%}}} + +\subsection{Hydrology} +\begin{frame}{Hydrology model}%{{{1 + \cite{Lebrocq2009}: the evolution of the water-film thickness $(w)$ is given by: + \begin{center} + \includegraphics[width=0.3\textwidth]{equations20a} + \end{center} + With $w$ the water thickness, $S$ the basal melting rate and $\bar{u_w}$ the depth-averaged water + velocity vector. + + Assuming a laminar flow between two parallel plates: + + \includegraphics[width=0.2\textwidth]{equations20b}\hspace{12pt} and \hspace{12pt} + \includegraphics[width=0.4\textwidth]{equations20c} + + where $\mu$ is the water viscosity, $z_s$ and $z_b$ the surface and bed elevatinos, $N$ the + effective pressure and $\Phi$ the pressure potential. +\end{frame}%}}} +\begin{frame}{Hydrology model}%{{{1 + \begin{columns} + \column{0.4\textwidth} + Because we assume a non-arborescent drainage system, we cancel the effective pressure $N$: + + \vspace{12pt}\includegraphics[width=0.9\textwidth]{equations21a}\vspace{12pt} + + This set of assumptions results in the following non-linear system: + + \vspace{12pt}\includegraphics[width=0.7\textwidth]{equations21b} + + \column{0.6\textwidth} + \includegraphics[width=\textwidth]{basal_hydrology} + \end{columns} +\end{frame}%}}} + +\subsection{Svn/Trac} +\begin{frame}{Svn/Trac}%{{{1 + Download page: \url{http://issm.jpl.nasa.gov/installation/download/} + \begin{itemize} + \item Install SVN (Apache Subversion) + \item Checkout ISSM: \\ \texttt{\$ svn --username anon --password anon checkout https://issm.ess.uci.edu:80/svn/issm/issm} + \item Update ISSM: \\ \texttt{\$ svn update} + \end{itemize} +\end{frame}%}}} +\begin{frame}{Svn/Trac}%{{{1 + Trac system with wiki + + \begin{center} + \includegraphics[width=0.7\textwidth]{trac} + \end{center} +\end{frame}%}}} + +\subsection{Nightly Runs} +\begin{frame}{Nightly runs}%{{{1 + \begin{center} + \includegraphics[width=0.9\textwidth]{nightly_runs} + \end{center} +\end{frame}%}}} + +\subsection{Test Suite} +\begin{frame}{Test suite}%{{{1 + \begin{columns} + \column{0.5\textwidth} + \begin{itemize} + \item 626 tests run on a nightly-basis + \item Serial/Parallel run comparisons + \item Internal checks + \item Solution checks + \item Numerical accuracy checks + \item Run several times a day, to capture code updates which break the software + \end{itemize} + \column{0.5\textwidth} + \includegraphics[width=\textwidth]{test_runs} + \end{columns} +\end{frame}%}}} + +\subsection{Doxygen} +\begin{frame}{Doxygen}%{{{1 + \includegraphics[width=0.9\textwidth]{doxygen} +\end{frame}%}}} + +\section{What ISSM cannot do} +\subsection{Ice flow models} +\begin{frame}\frametitle{Ice models}%{{{1 + \begin{itemize} + \item Ice anisotropy not included (ice fabrics) + \item[$\rightarrow$] Ice considered isotropic + \item Cold ice model used in thermal model + \item[$\rightarrow$] No polythermal ice + \item Moving grounding line based on hydrostatic equilibrium + \item[$\rightarrow$] Not implemented for full-Stokes (based on contact mechanics) + \item Ice front and margins fixed in time, no calving law + \item[$\rightarrow$] Calving rate equal to ice velocity + \end{itemize} +\end{frame} +%}}} +\subsection{Basal conditions} +\begin{frame}\frametitle{Basal conditions}%{{{1 + \begin{itemize} + \item Basal friction fixed in time + \item Hydrology not coupled to basal friction + \item Sub-glacial hydrology only + \item[$\rightarrow$] No englacial hydrology + \end{itemize} + \begin{center} + \begin{tabular}{c c} + \includegraphics[width=0.45\textwidth]{WaterColum} & \includegraphics[width=0.45\textwidth]{Drag} + \end{tabular} + \end{center} +\end{frame} +%}}} +\subsection{Inversion and data assimilation} +\begin{frame}\frametitle{Inversions and data assimilation}%{{{1 + \begin{columns} + \begin{column}{0.5\linewidth} + \begin{center} + \includegraphics[width=1\textwidth]{Basal_drag2} + \end{center} + \end{column} + \begin{column}{0.5\linewidth} + Inversions limited to: + \begin{itemize} + \item Ice rheology + \item Basal friction + \item Ice thickness consistency with velocities + \end{itemize} + $\rightarrow$ Assimilation for a given time + \end{column} + \end{columns} +\end{frame} +%}}} +\subsection{Ice/atmosphere interactions} +\begin{frame}\frametitle{Ice/atmosphere interactions}%{{{1 + Interaction between ice and atmosphere not modeled + \begin{itemize} + \item Surface mass balance transformed into ice + \item[$\rightarrow$] No PDD model (Positive Degree Day) + \item Snow instantaneously transformed into ice + \item[$\rightarrow$] No firn compaction + \end{itemize} + + \vspace{2em} + \begin{tabular}{c} + \includegraphics[width=0.9\textwidth]{Mass_balance}\\ + Schlegel et al., in preparation + \end{tabular} +\end{frame} +%}}} +\subsection{Ice/ocean interactions} +\begin{frame}\frametitle{Ice/ocean interactions}%{{{1 + Interaction between ice and ocean not included + \begin{itemize} + \item Melting rates under ice shelved prescribed + \item Sea level fixed at $z=0$ + \end{itemize} + $\rightarrow$ ECCO3 project to couple ocean and ice models + + \vspace{2em} + \begin{center} + \begin{tabular}{c} + \includegraphics[width=0.7\textwidth]{Melting_rate}\\ + Schodlok et al., submitted + \end{tabular} + \end{center} +\end{frame} +%}}} +\subsection{Other capabilities} +\begin{frame}\frametitle{Other capabilities}%{{{1 + \begin{itemize} + \item Post-glacial rebound + \item Rift propagations + \end{itemize} + \begin{center} + \includegraphics[width=0.7\textwidth]{Rifts} + \end{center} +\end{frame} +%}}} +\subsection{Numerics} +\begin{frame}\frametitle{Numerics}%{{{1 + \begin{itemize} + \item Only triangle (2D) and prismatic (3D) elements + \item[$\rightarrow$] No quadrangle elements + \item Only P1 (piecewise linear nodal functions) + \item[$\rightarrow$] No quadratic or higher-order interpolations + \item Non-linear iterations based on Picard method (fixed-point) + \item[$\rightarrow$] No Newton iterations + \item Direct solver used for full-Stokes model + \item[$\rightarrow$] No scalable solver (iteratif solver) + \end{itemize} +\end{frame} +%}}} + +\section{Parallel capabilities} +\subsection{Introduction} +\begin{frame}\frametitle{Introduction}%{{{1 + + ISSM code can be compiled into one executable that can be run independent of Matlab, in + any cluster, be it shared or distributed. + \begin{center} + \includegraphics[width=1\textwidth]{SoftwareArchitecture} + \end{center} +\end{frame} +%}}} +\subsection{Parallel libraries} +\begin{frame}\frametitle{Parallel libraries}%{{{1 + + ISSM relies on a series of libraries to implement parallelism: + \begin{itemize} + \item PETSc Portable, Extensible Toolkit for Scientific + Computation \cite{petsc-efficient,petsc-user-ref,petsc-website}. PETSc is + a suite of data structures and routines for the scalable solution of + scientific applications modeled by partial differential equations. Used mainly + for its parallel structures (Vec and Mat objects) and iterative parallel solvers. + \item MPICH1,2: Message Passing Interface \cite{Gropp:1996:HPI,mpich-user} to manage parallel + communications between all cpus during solution sequences. + \item METIS: Software Package for Partitioning Unstructured Graphs, Partitioning Meshes, and + Computing Fill-Reducing Orderings of Sparse Matrices \cite{Karypis1998}. This package is + used to partition objects such as elements and vertices across a cluster. This partitioning + scheme results in partitions that have equal numbers of elements on each cluster node. + \item MUMPS: Multifrontal Massively Parallel Sparse direct solver + \cite{MUMPS:1,MUMPS:2}. Direct solver that suffers few convergence issues. Relied + upon often for the solution of any system of equations. + \end{itemize} + +\end{frame} +%}}} +\begin{frame}\frametitle{Parallel structures}%{{{1 + + ISSM relies on several objects (C language) implemented in PETSc for + parallelization: + \begin{itemize} + \item Vec object: holds a distributed vector with different parts distributed + row wise on every cpu. The solution vector computed by issm.exe is an example + of Vec object. + \item Mat object: holds a distributed matrix with different parts distributed + row wise on every cpu. The stiffness matrix computed by issm.exe in almost all + drivers is an example of Mat object. + \item Ksp and PC objecst: PETSc structures that hold a solver context and a + conditioner context. This is inherent to PETSc and the way solvers are run. + \end{itemize} + + Both Mat and Vec objects can be serialized for output, or during the solution, + for ease of use in indexing. + +\end{frame} +%}}} +\subsection{Using ISSM's parallel capabilities} +\subsubsection{On the Matlab side} +\begin{frame}[fragile]\frametitle{On the Matlab side}%{{{1 +To launch on a specific cluster, type the following: +\lstinputlisting[firstline=1,lastline=4]{Code/launch.m} +The following settings are available on a generic cluster: +\begin{verbatim} +>> md.cluster + +ans = + +class 'generic' object 'ans' = + name: murdo + login: + np: 3 + port: 0 + codepath: /Users/issm/Desktop/issm/trunk/bin + executionpath: /Users/issm/Desktop/issm/trunk/execution + valgrind: /Users/issm/Desktop/issm/trunk/externalpackages/valgrind/install/bin/valgrind + valgrindlib: /Users/issm/Desktop/issm/trunk/externalpackages/valgrind/install/lib/libmpidebug.so + valgrindsup: /Users/issm/Desktop/issm/trunk/externalpackages/valgrind/issm.supp +\end{verbatim} +\end{frame} +%}}} +\begin{frame}[fragile]\frametitle{Matlab cluster classes}%{{{1 +Cluster classes are implemented for different types of clusters, such as NASA Pleiades +cluster, or generic cluster, or linux-64 clusters, etc. The cluster classes can be found +in +{\tiny +\begin{verbatim} + $pwd + /Users/issm/Desktop/issm/trunk/src/m/classes/clusters + $ ls + castor.m cosmos.m gemini.m generic.m none.m pfe.m pollux.m README +\end{verbatim} +} + +The main routines implemented in a cluster are: +{\tiny +\begin{verbatim} +%GENERIC cluster class definition +% +% Usage: +% cluster=generic('name','astrid',); +% cluster=generic('name','astrid','np',3); +% cluster=generic('name',oshostname(),'np',3,'login','username'); + +classdef generic + properties (SetAccess=public) + +-- 12 lines: % ----------------------------------------------------------------------------- + end + methods + +-- 24 lines: function cluster=generic(varargin) % ------------------------------------------- + +-- 14 lines: function disp(cluster) % ------------------------------------------------------- + +-- 9 lines: function checkconsistency(cluster,md,solution,analyses) % ---------------------- + +-- 44 lines: function BuildQueueScript(cluster,md) % ---------------------------------------- + +-- 29 lines: function LaunchQueueJob(cluster,md,options)% ----------------------------------- + +-- 27 lines: function Download(cluster,md)% ------------------------------------------------- + end + end +\end{verbatim} +} + + +These routines are called by solve.m script to run on that particular cluster. +First build queuing scripts, then send them to the cluster, where issm.exe is +compiled, along with a binary input file, and run on the cluster. +\end{frame} +%}}} +\begin{frame}[fragile]\frametitle{Matlab cluster classes}%{{{1 +Once the results are computed, we download the results back and post-process. +The download is controlled by the setting waitonlock. +{\tiny +\begin{verbatim} +>> md.settings + + ans = + + general settings parameters: + io_gather : 1 -- I/O gathering strategy for result outputs (default 1) + lowmem : 0 -- is the memory limited ? (0 or 1) + results_as_patches : 0 -- provide results as patches for each element (0 or 1) + output_frequency : 1 -- frequency at which results are saved in all solutions with multiple time_steps + waitonlock : 30 -- maximum number of minutes to wait for batch results, or return 0 +\end{verbatim} +} + +If waitonlock is Inf, the solve routine will lock until user tells it the download is finished. +If waitonlock fails (CTRL-D from user, or matlab crash), one can alway rely on downloading +from the cluster: +{\tiny +\begin{verbatim} +>> md=loadresultsfromcluster(md); +\end{verbatim} +} + +\end{frame} +%}}} +\subsubsection{On the Cluster side} +\begin{frame}[fragile]\frametitle{On the Cluster side}%{{{1 +On the cluster side, the LaunchQueueJob routine of the cluster class will ship a binary file +(marshalled data of the model) onto the cluster, and launch a script. +Here is the directory (trunk/execution) where things happen: + +{\tiny +\begin{verbatim} +[issm@issm test240-12-12-2011-23-6-43-24624]$ pwd +/Users/issm/Desktop/issm/trunk/execution/test240-12-12-2011-23-6-43-24624 +[issm@issm test240-12-12-2011-23-6-43-24624]$ ls +test240-12-12-2011-23-6-43-24624.tar.gz test240.errlog test240.outbin test240.petsc +test240.bin test240.lock test240.outlog test240.queue + +\end{verbatim} +} + +test240.bin is the test240 binary input file to issm.exe. test240.queue is the script that is launched +on the cluster. test240.petsc holds the petsc settings. + +Once the cluster runs, we get a test240.outbin (which is downloaded by md=loadresultsfromcluster(md), or +by md=solve(md,...) + outlog and errlog files. + +\end{frame} +%}}} +\begin{frame}[fragile]\frametitle{Launching on Cluster side}%{{{1 +Here is a typical launch script such as test240.queue + +{\tiny +\begin{verbatim} +#!/bin/sh +mpiexec -np 3 /Users/issm/Desktop/issm/trunk/bin/issm.exe DiagnosticSolution /Users/issm/Desktop/issm/trunk/execution test240 +\end{verbatim} +} + +Here is the typical petsc settings test240.petsc: +{\tiny +\begin{verbatim} +%Petsc options file: test240.petsc written from Matlab solver array + ++NoneAnalysis +-mat_type mpiaij +-ksp_type preonly +-pc_type lu +-pc_factor_mat_solver_package mumps +-mat_mumps_icntl_14 120 +-pc_factor_shift_positive_definite true + ++DiagnosticVertAnalysis +-mat_type mpiaij +-ksp_type preonly +-pc_type lu +-pc_factor_mat_solver_package mumps +-mat_mumps_icntl_14 120 +-pc_factor_shift_positive_definite true +\end{verbatim} +} + +test240.queue can be used again and again until satisfying results. +test240.petsc settings can be modified until convergence is reached. +If you don't want to handle what's going on on the cluster side, you don't need to, +as the routine md=solve(md,...) handles everything transparently for you. + +\end{frame} +%}}} + +\subsection{Conclusions} +\begin{frame}{Conclusions}%{{{1 + \begin{itemize} + \item ISSM represents a wide array of capabilities, geared toward solving specific cryosphere + challenges such as projections of future sea level rise + \item Extensive software and architecture support, as well as wide array of numerical solutions + and physics implemented + \item Challenges remain, such as grounding line dynamics using FS, moving margins and ice/ocean + interactions + \end{itemize} +\end{frame}%}}} + +%\subsection{A small history of ISSM's development} +% +%\begin{frame}\frametitle{Development rationale}%{{{1 +%Bridge gap between Cryosphere models and InSAR surface velocity observations: +%\cite{Rommelaere1997}, \cite{MacAyeal1998}, \cite{Larour2005,Larour2005a} +%$\rightarrow$ develop inverse methods on simple diagnostic forward models. +% +%\begin{itemize} +% \item Diagnostic 2D SSA from \cite{MacAyeal1989} +% \item Inverse methods using InSAR surface velocities \cite{MacAyeal1992b} +% \begin{itemize} +% \item non-linear rheology on ice unconstrained ice shelves \cite{Larour2005,Larour2005a}, extended from \cite{Rommelaere1997} +% \item basal friction on ice sheets from \cite{MacAyeal1992b} +% \end{itemize} +%\end{itemize} +% +%JPL interested in parallel technologies applied to Finite Element Modeling, in the context +%of the CIELO software. Goal was to help in the design of Terrestrial Planet Finders (NASA +%missions TPF and SIM), which involve large aperture telescopes. +% +%\begin{itemize} +% \item Finite Element Modeling inspired on NASTRAN (engine behind CIELO) +% \item Parallel implementation based on MPICH-1,2 and PETSc. +%\end{itemize} +% +%\end{frame} +%%}}} +%\begin{frame}\frametitle{Development rationale-2}%{{{1 +% +%Interest in rifting and faulting processes and impact on ice rheology, \cite{Larour2004} +%$\rightarrow$ inclusion of rifting/faulting elements. NO propagation, NO inception, +%NO vertical crevassing. +% +%Interest in pushing forward capabilities to model transient ice flow at the continental +%scale: +% +% \begin{itemize} +% \item Higher-order Blatter/Pattyn model implementation \cite{Blatter1995,Pattyn1996} +% \item Anisotropic adaptation: to reduce amount of dofs (degrees of freedom) involved in the +% solution of large scale systems. +% \item Prognostic and Thermal +% \end{itemize} +%\end{frame} +%%}}} +%\begin{frame}\frametitle{Development rationale-3}%{{{1 +% +% \begin{itemize} +% \item Sensitivities/sampling +% \item Assimilation of ice thickness to verify mass transport +% \item 3D hydrostatic grounding line migration +% \item Hydrology +% \end{itemize} +%\end{frame} +%%}}} + +%\subsection{References} + +\begin{frame}[allowframebreaks]{Bibliography}%{{{1 + \bibliographystyle{apalike} + \bibliography{references} +\end{frame}%}}} +%}}} +%Thanks slide{{{ +\usebackgroundtemplate{\includegraphics[width=\paperwidth,height=\paperheight]{Thanksbg}} +\begin{frame}[plain] + \ghostframe + \begin{center} + \vspace*{-0.1\paperheight} + \hspace*{-0.15\paperwidth}\Huge{Thanks!} + \end{center} + \note{Thank you very much for your attention} +\end{frame} +\usebackgroundtemplate{} +%}}} + +\end{document} Index: /issm/workshop/2012/Talks/02_Capabilities/Code/Square.exp =================================================================== --- /issm/workshop/2012/Talks/02_Capabilities/Code/Square.exp (revision 14029) +++ /issm/workshop/2012/Talks/02_Capabilities/Code/Square.exp (revision 14029) @@ -0,0 +1,10 @@ +## Name:domainoutline +## Icon:0 +# Points Count Value +5 1. +# X pos Y pos +0 0 +100000 0 +100000 100000 +0 100000 +0 0 Index: /issm/workshop/2012/Talks/02_Capabilities/Code/Square.par =================================================================== --- /issm/workshop/2012/Talks/02_Capabilities/Code/Square.par (revision 14029) +++ /issm/workshop/2012/Talks/02_Capabilities/Code/Square.par (revision 14029) @@ -0,0 +1,25 @@ +hmin=1000; +hmax=1000; +ymin=min(md.mesh.y); +ymax=max(md.mesh.y); +md.geometry.thickness=hmax+(hmin-hmax)*(md.mesh.y-ymin)/(ymax-ymin); +md.geometry.bed=-md.materials.rho_ice/md.materials.rho_water*md.geometry.thickness+10; +md.geometry.surface=md.geometry.bed+md.geometry.thickness; + +md.friction.coefficient=30*ones(md.mesh.numberofvertices,1); %q=1. + +pos=find(md.mask.elementonfloatingice); +md.friction.coefficient(md.mesh.elements(pos,:))=0; +md.friction.p=ones(md.mesh.numberofelements,1); +md.friction.q=ones(md.mesh.numberofelements,1); + +md.materials.rheology_B=paterson((273-20)*ones(md.mesh.numberofvertices,1)); +md.materials.rheology_n=3*ones(md.mesh.numberofelements,1); + +md=SetIceSheetBC(md); +pos=find(md.mesh.vertexonboundary); +md.diagnostic.spcvx(pos)=0; +md.diagnostic.spcvy(pos)=200; +md.diagnostic.spcvz(pos)=0; + +md.diagnostic.restol=10^-5; Index: /issm/workshop/2012/Talks/02_Capabilities/Code/download.m =================================================================== --- /issm/workshop/2012/Talks/02_Capabilities/Code/download.m (revision 14029) +++ /issm/workshop/2012/Talks/02_Capabilities/Code/download.m (revision 14029) @@ -0,0 +1,2 @@ +md.cluster=generic('name',oshostname(),'np',3); +md=solve(md,'DiagnosticSolution); Index: /issm/workshop/2012/Talks/02_Capabilities/Code/ex1.m =================================================================== --- /issm/workshop/2012/Talks/02_Capabilities/Code/ex1.m (revision 14029) +++ /issm/workshop/2012/Talks/02_Capabilities/Code/ex1.m (revision 14029) @@ -0,0 +1,3 @@ +md=model; +md=triangle(md,'Square.exp',50000); +plotmodel(md,'data','mesh'); Index: /issm/workshop/2012/Talks/02_Capabilities/Code/ex2.m =================================================================== --- /issm/workshop/2012/Talks/02_Capabilities/Code/ex2.m (revision 14029) +++ /issm/workshop/2012/Talks/02_Capabilities/Code/ex2.m (revision 14029) @@ -0,0 +1,3 @@ +md=model; +md=triangle(md,'Square.exp',50000); +plotmodel(md,'data','mesh'); Index: /issm/workshop/2012/Talks/02_Capabilities/Code/launch.m =================================================================== --- /issm/workshop/2012/Talks/02_Capabilities/Code/launch.m (revision 14029) +++ /issm/workshop/2012/Talks/02_Capabilities/Code/launch.m (revision 14029) @@ -0,0 +1,2 @@ +md.cluster=generic('name',oshostname(),'np',3); +md=solve(md,'DiagnosticSolution); Index: /issm/workshop/2012/Talks/02_Capabilities/Makefile =================================================================== --- /issm/workshop/2012/Talks/02_Capabilities/Makefile (revision 14029) +++ /issm/workshop/2012/Talks/02_Capabilities/Makefile (revision 14029) @@ -0,0 +1,44 @@ +#Makefile for beamer +TARGET=02_Capabilities + +export TEXINPUTS=$(ISSMJPL_DIR)/publications/templates/beamer/Theme/Pasadena//: + +all: one + +update: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + +one: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +complete: + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + bibtex $(TARGET) + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +bib: + bibtex $(TARGET) + +links: + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/general/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/subtheme/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/ML/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/graphics/JPL/*.pdf . + ln -s $(JPL_SVN)/publications/bibtex/references.bib + +unlinks: + find . -maxdepth 1 -type l -print | xargs rm + +open: + open -a /Applications/Adobe\ Reader\ 9/Adobe\ Reader.app/ $(TARGET).pdf + +clean: + rm -f ${TARGET}.{dvi,ps,pdf,toc,log,aux,out,nav,snm,bbl,blg,vrb} + +allclean: + make clean + make unlinks Index: /issm/workshop/2012/Talks/02_Capabilities/todo =================================================================== --- /issm/workshop/2012/Talks/02_Capabilities/todo (revision 14029) +++ /issm/workshop/2012/Talks/02_Capabilities/todo (revision 14029) @@ -0,0 +1,22 @@ +Capabilities: + + Diagnostic + Inverse methods form InSAR velocities + B + drag + Parallel computing + Rifting/Faulting + Higher-order, FS + Anisotropic adaptation + Prognostic + Thermal + Sensitivities/sampling + Assimilation of ice thickness to verify mass transport + 3D hydrostatic grounding line migration + Hydrology + +Software management: + svn/trac + nightly runs + test suite + doxygen Index: /issm/workshop/2012/Talks/02_Capabilities/x.log =================================================================== --- /issm/workshop/2012/Talks/02_Capabilities/x.log (revision 14029) +++ /issm/workshop/2012/Talks/02_Capabilities/x.log (revision 14029) @@ -0,0 +1,34 @@ +This is pdfTeX, Version 3.1415926-2.3-1.40.12 (TeX Live 2011) (format=pdflatex 2011.7.3) 26 NOV 2012 15:58 +entering extended mode + restricted \write18 enabled. + file:line:error style messages enabled. + %&-line parsing enabled. +**03_ISSM_capabilities.tex +(/usr/local/texlive/2011/texmf-dist/tex/latex/tools/x.tex +LaTeX2e <2009/09/24> +Babel and hyphenation patterns for english, dumylang, nohyphenation, ge +rman-x-2009-06-19, ngerman-x-2009-06-19, afrikaans, ancientgreek, ibycus, arabi +c, armenian, basque, bulgarian, catalan, pinyin, coptic, croatian, czech, danis +h, dutch, ukenglish, usenglishmax, esperanto, estonian, ethiopic, farsi, finnis +h, french, galician, german, ngerman, swissgerman, monogreek, greek, hungarian, + icelandic, assamese, bengali, gujarati, hindi, kannada, malayalam, marathi, or +iya, panjabi, tamil, telugu, indonesian, interlingua, irish, italian, kurmanji, + lao, latin, latvian, lithuanian, mongolian, mongolianlmc, bokmal, nynorsk, pol +ish, portuguese, romanian, russian, sanskrit, serbian, serbianc, slovak, sloven +ian, spanish, swedish, turkish, turkmen, ukrainian, uppersorbian, welsh, loaded +. + +/usr/local/texlive/2011/texmf-dist/tex/latex/tools/x.tex:34: . +l.34 \batchmode \errmessage{} + \csname @@end\endcsname \end +Here is how much of TeX's memory you used: + 8 strings out of 493633 + 273 string characters out of 3143378 + 49245 words of memory out of 3000000 + 3405 multiletter control sequences out of 15000+200000 + 3640 words of font info for 14 fonts, out of 3000000 for 9000 + 831 hyphenation exceptions out of 8191 + 5i,0n,1p,104b,8s stack positions out of 5000i,500n,10000p,200000b,50000s + +/usr/local/texlive/2011/texmf-dist/tex/latex/tools/x.tex:34: ==> Fatal error o +ccurred, no output PDF file produced! Index: /issm/workshop/2012/Talks/04_Quick_start/06_Quick_start.tex =================================================================== --- /issm/workshop/2012/Talks/04_Quick_start/06_Quick_start.tex (revision 14029) +++ /issm/workshop/2012/Talks/04_Quick_start/06_Quick_start.tex (revision 14029) @@ -0,0 +1,170 @@ +%Preamble {{{1 +\documentclass[9pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[jpl,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{booktabs} %nice tables (toprule, bottomrule,...) +\graphicspath{ % directories where the pictures are located +{Images/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen + +\setbeamercovered{transparent} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{1 +%%Automatically insert outline slide at the begining of each new section (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{1 +%between brackets []: shown on headers and footers of every slide (must be short) +%between parenthesis (): shown on title page only (long) +\title[Quick Start]{Ice Sheet System Model} +\subtitle{Quick Start Guide} +\author[Larour et al.]{ +Eric \textsc{Larour}\inst{1}, +Eric \textsc{Rignot}\inst{1,2}, +Mathieu \textsc{Morlighem}\inst{2}, +H\'el\`ene \textsc{Seroussi}\inst{1} +\textbf{Nicole \textsc{Schlegel}}\inst{1}, +Chris \textsc{Borstad}\inst{1}, +Feras \textsc{Habbal}\inst{1,2}, +Daria \textsc{Halkides}\inst{1,3}, +Gilberto \textsc{Perez}\inst{1}, +John \textsc{Schiermeier}\inst{1}, +Michiel \textsc{Helsen}\inst{2} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}University of California, Irvine\\ +\inst{3}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2012]{ISSM Workshop 2012} +\date[]{\hspace{-15em}December 2012\hspace{3em}\copyright Copyright 2012. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} +\begin{document} + +%Title slide %{{{1 +\begin{frame}[plain] %No headers or footers + %Do not change, this page is automatically generated + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Outline}%{{{1 + \tableofcontents +\end{frame}%}}} +\section{Example: Steady state ice shelf with square domain} +\subsection{Model set up} +\begin{frame}\frametitle{Example: Steady state ice shelf with square domain}%{{{1 + \begin{itemize} + \item Go to working directory + \end{itemize} + \lstinputlisting[firstline=1,lastline=1]{Code/ex1.m} + \begin{itemize} + \item Copy the {\tt startup.m} file to current directory + \end{itemize} + \lstinputlisting[firstline=18,lastline=18]{Code/ex1.m} + \begin{itemize} + \item Start-up Matlab + \end{itemize} + \lstinputlisting[firstline=2,lastline=2]{Code/ex1.m} + \begin{itemize} + \item In Matlab, create empty model structure + \end{itemize} + \lstinputlisting[firstline=3,lastline=3]{Code/ex1.m} + \begin{itemize} + \item Build mesh over domain with desired resolution (try 50,000 m) + \end{itemize} + \lstinputlisting[firstline=4,lastline=4]{Code/ex1.m} +\end{frame}%}}} +\begin{frame}\frametitle{Example: Steady state ice shelf with square domain}%{{{1 + \begin{itemize} + \item To plot mesh... + \end{itemize} + \lstinputlisting[firstline=5,lastline=5]{Code/ex1.m} + \begin{center} + \includegraphics[width=12em]{SquareMesh.eps} + \end{center} +\end{frame}%}}} + +\subsection{Model parameterization} +\begin{frame}\frametitle{Example: Steady state ice shelf with square domain}%{{{1 + \begin{itemize} + \item Define glacier type: grounded or ungrounded (default is grounded); typically takes form + of... + \end{itemize} + \lstinputlisting[firstline=6,lastline=6]{Code/ex1.m} + \begin{itemize} + \item For our purposes, set floating ice to 'all' + \end{itemize} + \lstinputlisting[firstline=7,lastline=7]{Code/ex1.m} + \begin{itemize} + \item Call parameterization file (here: use 'Square.par') + \end{itemize} + \lstinputlisting[firstline=8,lastline=8]{Code/ex1.m} + \end{frame}%}}} +%\begin{frame}\frametitle{Example: Steady state ice shelf with square domain}%{{{1 +% \begin{itemize} +% \item File 'Square.par'.... +% \end{itemize} +% \lstinputlisting[width=30em,firstline=1,lastline=30]{Code/SquareIceShelf/Square.par} +%\end{frame}%}}} + +\subsection{Compute \& display model solution} +\begin{frame}\frametitle{Example: Steady state ice shelf with square domain}%{{{1 + \begin{itemize} + \item Select ice flow model (here: MacAyeal/Morland Shallow-Shelf model; no vertical shear) + \end{itemize} + \lstinputlisting[firstline=9,lastline=9]{Code/ex1.m} + \begin{itemize} + \item Compute velocity field for the domain + \end{itemize} + \lstinputlisting[firstline=10,lastline=10]{Code/ex1.m} + \begin{itemize} + \item Plot the velocity field + \end{itemize} + \lstinputlisting[firstline=11,lastline=13]{Code/ex1.m} +% \begin{itemize} +% \item Add labels +% \end{itemize} +% \lstinputlisting[firstline=12,lastline=16]{Code/ex1.m} +\end{frame}%}}} +\begin{frame}\frametitle{Example: Steady state ice shelf with square domain}%{{{1 + \begin{center} + \includegraphics[width=15em]{Velocity.eps} + \end{center} + \begin{itemize} + \item Save figure... + \end{itemize} + \lstinputlisting[firstline=14,lastline=14]{Code/ex1.m} +% \includegraphics[width=15em]{Velocity.eps} +\end{frame}%}}} + +%Thanks slide{{{ +\usebackgroundtemplate{\includegraphics[width=\paperwidth,height=\paperheight]{Thanksbg}} +\begin{frame}[plain] + \ghostframe + \begin{center} + \vspace*{-0.1\paperheight} + \hspace*{-0.15\paperwidth}\Huge{Thanks!} + \end{center} + \note{Thank you very much for your attention} +\end{frame} +\usebackgroundtemplate{} +%}}} +\end{document} Index: /issm/workshop/2012/Talks/04_Quick_start/Code/ex1.m =================================================================== --- /issm/workshop/2012/Talks/04_Quick_start/Code/ex1.m (revision 14029) +++ /issm/workshop/2012/Talks/04_Quick_start/Code/ex1.m (revision 14029) @@ -0,0 +1,18 @@ +$ cd $ISSM_TIER/examples/SquareIceShelf/ +$ matlab +>> md=model; +>> md=triangle(md,'DomainOutline.exp',50000); +>> plotmodel(md,'data','mesh'); +>> md=setmask(md,'floatingicename.exp','groundedicename.exp') +>> md=setmask(md,'all',''); +>> md=parameterize(md,'Square.par'); +>> md=setflowequation(md,'macayeal','all'); +>> md=solve(md,DiagnosticSolutionEnum); +>> plotmodel(md,'data',md.results.DiagnosticSolution.Vel,... + 'xlabel','[m]','ylabel','[m]',... + 'title','Square Ice Shelf: Velocity'); +>> print -dpng Velocity.png; + + + +$ cp $ISSM_TIER/startup.m . Index: /issm/workshop/2012/Talks/04_Quick_start/Makefile =================================================================== --- /issm/workshop/2012/Talks/04_Quick_start/Makefile (revision 14029) +++ /issm/workshop/2012/Talks/04_Quick_start/Makefile (revision 14029) @@ -0,0 +1,36 @@ +#Makefile for beamer +TARGET=04_Quick_start + +export TEXINPUTS=$(JPL_SVN)/publications/templates/beamer/Theme/Pasadena//: +all: one + +one: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +complete: + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + #bibtex $(TARGET) + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +bib: + bibtex $(TARGET) + +links: + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/general/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/subtheme/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/ML/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/graphics/JPL/*.pdf . + +unlinks: + find . -maxdepth 1 -type l -print | xargs rm + +clean: + rm -f ${TARGET}.{dvi,ps,pdf,toc,log,aux,out,nav,snm,bbl,blg,vrb} + +allclean: + make clean + make unlinks Index: /issm/workshop/2012/Talks/04_Quick_start/mcode.sty =================================================================== --- /issm/workshop/2012/Talks/04_Quick_start/mcode.sty (revision 14029) +++ /issm/workshop/2012/Talks/04_Quick_start/mcode.sty (revision 14029) @@ -0,0 +1,280 @@ +%% +%% This is file `mcode.sty' +%% +%% It is supposed to help you easily include MATLAB source code +%% into LaTeX document, but have it nicely highlighted, using +%% the great listings package. +%% +%% PLEASE NOTE that this package does nothing but save you from +%% figuring out some configurations in setting up the LISTINGS +%% package. ALL the work is done by that package! Thus, please +%% refer your questions to the listings package documentation. +%% +%% Usage: You have three ways of including your MATLAB code. As +%% environment, as inline object and directly from an external +%% file. +%% +%% 1) Environment: +%% +%% \begin{lstlisting} +%% YOUR CODE HERE +%% \end{lstlisting} +%% +%% +%% 2) Inline object: +%% +%% Bla bla \mcode{CODEFRAGMENT} bla bla. +%% +%% +%% 3) Include external file (in environment form) +%% +%% \lstinputlisting{YOUR-FILE.m} +%% +%% +%% For your convenience this package has the following options: +%% +%% - bw if you intend to print the document (highlighting done +%% via text formatting (bold, italic) and shades of gray) +%% +%% - numbered if you want line numbers +%% +%% - autolinebreaks if you want the package to automatically +%% wrap your code. This is buggy as it may well break +%% break syntax and it doesn't work well with comments. +%% You REALLY should wrap your code manually. +%% +%% - useliterate if you want some characters / relations in +%% your code to be replace with something more readable. +%% Example: ~= becomes $\neq$, >= becomes $\geq$, delta +%% becomes $\delta$ and so on. +%% +%% - framed if you want a frame around the source code blocks +%% +%% - final if you have ``gloablly'' set the draft option, the +%% listings package will not output the code at all. to +%% force it to do so anyway, load this package with the +%% final option (passes the ``final'' on to listings). +%% +%% For example, you may use \usepackage[numbered,framed]{mcode} +%% in your document preamble. +%% +%% Note: Inside code blocks you can escape to LaTeX text mode +%% using §...§. For ex. §text and some math: $x^2$§, which is +%% especially useful in comments for putting nicely typeset +%% equations etc. To get the same colour/style as in the rest +%% of the comment use \mcommentfont, i.e. §\mcommentfont $x^2$§ +%% +%% To change the font used, edit the first line in the "custo- +%% mise below" section. And feel free to edit other things as +%% well. Refer to the documentation of the listings package to +%% see what else you could do. If an extra small font is re- +%% quired, use {\fontfamily{pcr}\fontsize{3}{4.6}\selectfont} +%% in the definition of \lstbasicfont. +%% +%% Author: +%% Florian Knorn | florian@knorn.org | www.florian-knorn.com +%% +%% Version history: +%% 2.2 -- Bugfix (thanks Willi Gerbig!) +%% 2.1 -- Finally automatic detection between end and end +%% 2.0 -- New options for line breaking and literate prog. +%% 1.8 -- Fixed typo in documentation regarding §...§ +%% 1.7 -- Added MATLAB block comment syntax %{ ...... %} +%% 1.6 -- Added some infos, dealing with keyword ``end'' +%% 1.5 -- Tweaked check to see wether textcomp is loaded +%% 1.4 -- Fixed misconfig (mathescape now set to false) +%% 1.3 -- Purely cosmetic (tabs replaced by spaces) +%% 1.2 -- Added \lstset{showstringspaces=false} +%% 1.1 -- Added \mcode command and [final] option +%% 1.0 -- Release + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% D O N ' T T O U C H T H I S % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\fileversion{2.2} +\def\filedate{2011/08/26} + +\typeout{-- Package: `mcode' \fileversion\space <\filedate> --} +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mcode}[\filedate\space\fileversion] + +% for bw-option +\newif\ifbw +\DeclareOption{bw}{\bwtrue} + +% numbered option +\newif\ifnumbered +\DeclareOption{numbered}{\numberedtrue} + +% final option +\newif\iffinal +\DeclareOption{final}{\finaltrue} + +% autolinebreaks option +\newif\ifautolinebreaks +\DeclareOption{autolinebreaks}{\autolinebreakstrue} + +% literate programming (replace certain characters/relations +\newif\ifuseliterate +\DeclareOption{useliterate}{\useliteratetrue} + +% framed option +\newif\ifframed +\DeclareOption{framed}{\framedtrue} + +\DeclareOption*{% default + \PackageWarning{mcode}{Unknown option `\CurrentOption' !}% +} +\ProcessOptions + +\ifbw\typeout{ - settings optimized for printing (bw formating)} +\else\typeout{ - settings optimized for display (colour formating)}\fi +\ifnumbered\typeout{ - line numbering enabled}\else\fi +\ifuseliterate\typeout{ - literate programming (character replacements) enabled}\else\fi +\ifautolinebreaks\typeout{ - automatic line breaking enabled (careful, buggy!)}\else\fi +\ifframed\typeout{ - framed listings}\else\fi + +% This command allows you to typeset syntax highlighted Matlab +% code ``inline''. The font size \small seems to look best... +\newcommand{\mcode}[1]{\lstinline[basicstyle=\lstbasicfont\small]|#1|} + +% check if color command exists +\ifx\color\undefined% + \RequirePackage{xcolor}% +\fi + +% check if listings has been loaded +\ifx\lstset\undefined% + \iffinal + \RequirePackage[final]{listings} + \else + \RequirePackage{listings} + \fi +\fi + +% Check if textcomp has been loaded (this package is needed for +% upright quotes '' (instead of typographic ones `´)... +\ifx\textquotesingle\undefined% + \RequirePackage{textcomp}% +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% C U S T O M I S E B E L O W % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% --------------------------------------------------------------------------------- +% default font +\def\lstbasicfont{\fontfamily{pcr}\selectfont\footnotesize} + +% --------------------------------------------------------------------------------- +% matlat languate definition +\lstdefinelanguage{matlabfloz}{% + alsoletter={...},% + morekeywords={% % keywords + break,case,catch,continue,elseif,else,end,for,function,global,% + if,otherwise,persistent,return,switch,try,while,...},% + comment=[l]\%, % comments + morecomment=[l]..., % comments + morecomment=[s]{\%\{}{\%\}}, % block comments + morestring=[m]' % strings +}[keywords,comments,strings]% + +% --------------------------------------------------------------------------------- +% general definitions +\lstset{% + basicstyle={\lstbasicfont}, % set font + showstringspaces=false, % do not emphasize spaces in strings + tabsize=3, % number of spaces of a TAB + mathescape=false,escapechar=§, % escape to latex with §...§ + upquote=true, % upright quotes + aboveskip={1.5\baselineskip}, % a bit of space above listings + columns=fixed % nice spacing +} + +% --------------------------------------------------------------------------------- +% define colours and styles +\ifbw % use font formating and gray 'colors' + \def\mcommentfont{\color[gray]{.75}\itshape} %comments light gray and italic + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\bfseries, % keywords in bold + commentstyle=\mcommentfont, % comments + stringstyle=\color[gray]{0.5} % strings darker gray + } +\else% notbw => use colors : ) + \def\mcommentfont{\color[rgb]{.133,.545,.133}} %comments in green + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\color[rgb]{0,0,1}, % keywords in blue + commentstyle=\mcommentfont, % comments + stringstyle=\color[rgb]{.627,.126,.941} % strings in purple + } +\fi%bw + +% --------------------------------------------------------------------------------- +% automatic line breaking --- warning, this is buggy and +% doesn't break comments correctly! +\ifautolinebreaks + \newsavebox{\lbreakdots}\sbox{\lbreakdots}{\lstbasicfont\mcommentfont...} + \lstset{breaklines=true,breakatwhitespace=true,prebreak=\usebox{\lbreakdots}} +\fi + +% --------------------------------------------------------------------------------- +% literate replacements +% the following is for replacing some matlab relations like >= or ~= +% by the corresponding LaTeX symbols, which are much easier to read ... +\ifuseliterate + \lstset{% + literate=% + {~}{{$\neg$}}1 % \neg + {<=}{{\tiny$\leq$}}1 % \leq + {>=}{{\tiny$\geq$}}1 % \geq + {~=}{{\tiny$\neq$}}1 % \neq + {delta}{{\tiny$\Delta$}}1 % \Delta + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\else + \lstset{% + literate=% + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\fi%literates + +% --------------------------------------------------------------------------------- +% line numbering +\ifnumbered% numbered option + \lstset{% + numbersep=3mm, numbers=left, numberstyle=\tiny, % number style + } +\fi + +\ifframed% framed option + \lstset{% + frame=single, % frame + } + \ifnumbered% + \lstset{% + framexleftmargin=6mm, xleftmargin=6mm % tweak margins + } + \fi +\fi + +\endinput +%% End of file `mcode.sty'. Index: /issm/workshop/2012/Talks/06_Mesh_generation/06_Mesh_generation.tex =================================================================== --- /issm/workshop/2012/Talks/06_Mesh_generation/06_Mesh_generation.tex (revision 14029) +++ /issm/workshop/2012/Talks/06_Mesh_generation/06_Mesh_generation.tex (revision 14029) @@ -0,0 +1,345 @@ +%Preamble {{{ +\documentclass[9pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[jpl,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{booktabs} %nice tables (toprule, bottomrule,...) +\graphicspath{ % directories where the pictures are located +{Images/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen + +\setbeamercovered{invisible} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{ +%%Automatically insert outline slide at the begining of each new section (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{ +%between brackets []: shown on headers and footers of every slide (must be short) +%between parenthesis (): shown on title page only (long) +\title[Mesh generation]{Ice Sheet System model} +\subtitle{Mesh Generation} +\author[]{ +Eric \textsc{Larour}\inst{1}, +Eric \textsc{Rignot}\inst{1,3}, +\textbf{Mathieu \textsc{Morlighem}}\inst{1,2}, +H\'el\`ene \textsc{Seroussi}\inst{1,2} +Chris \textsc{Borstad}\inst{1}, +Feras \textsc{Habbal}\inst{1,3}, +Daria \textsc{Halkides}\inst{1,4}, +Behnaz \textsc{Khakbaz}\inst{1}, +John \textsc{Schiermeier}\inst{1}, +Nicole \textsc{Schlegel}\inst{1} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}Laboratoire MSSMat, \'Ecole Centrale Paris, France\\ +\inst{3}University of California, Irvine\\ +\inst{4}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2011]{ISSM Workshop 2011} +\date[]{\hspace{-15em}December 2011\hspace{3em}\copyright Copyright 2011. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} +\begin{document} + +%Title slide %{{{ +\begin{frame}[plain] %No headers or footers + %Do not change, this page is automatically generated + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Outline}%{{{ + \tableofcontents +\end{frame}%}}} +\section{Introduction} +\begin{frame}\frametitle{Mesh generation in ISSM}%{{{ + \begin{itemize}\itemsep=+1em + \item Mesh generation is crucial for ice sheet modeling + \item[$\rightarrow$] controls the space of solutions + \item Finer mesh more precise but more computationally intensive + \end{itemize} + \begin{itemize}\itemsep=+1em + \item ISSM has 3 main meshers: + \begin{enumerate}\itemsep=+.7em + \item squaremesh (for ISMIP tests) + \item triangle (from J. Shewchuk) + \item bamg (adapted from F. Hecht) + \end{enumerate} + \end{itemize} +\end{frame} +%}}} + +\section{Squaremesh} +\subsection{Usage} +\begin{frame}\frametitle{Usage}%{{{ + {\tt squaremesh} generates structured uniform meshes for rectangular domain + \begin{itemize} + \item[$\rightarrow$] needed for ISMIP tests + \end{itemize} + \lstinputlisting[firstline=7,lastline=7]{Code/ex1.m} + Arguments: + \begin{enumerate} + \item model + \item x-length + \item y-length + \item number of nodes along the x axis + \item number of nodes along the y axis + \end{enumerate} +\end{frame} +%}}} +\subsection{Example} +\begin{frame}\frametitle{Example}%{{{ + \lstinputlisting[firstline=7,lastline=7]{Code/ex1.m} + \begin{center} + \includegraphics[height=0.7\textheight]{Mesh_sq1} + \end{center} +\end{frame} +%}}} + +\section{Triangle} +\subsection{Usage} +\begin{frame}\frametitle{Usage}%{{{ + {\tt triangle} is a very fast algorithm for mesh generation + \begin{itemize} + \item[+] excellent for uniform mesh + \item[-] bad at mesh refinement + \end{itemize} + \lstinputlisting[firstline=1,lastline=1]{Code/ex1.m} + Arguments: + \begin{enumerate} + \item model + \item ARGUS file of the domain outline + \lstinputlisting[frame=none,numbers=none]{Code/Square.exp} + \item average element size + \end{enumerate} +\end{frame} +%}}} +\subsection{Example} +\begin{frame}\frametitle{Example}%{{{ + \lstinputlisting[firstline=1,lastline=1]{Code/ex1.m} + \begin{center} + \includegraphics[height=0.3\textheight]{Mesh1} + \end{center} + \lstinputlisting[firstline=3,lastline=3]{Code/ex1.m} + \begin{center} + \includegraphics[height=0.3\textheight]{Mesh2} + \end{center} +\end{frame} +%}}} + +\section{Bamg} +\begin{frame}\frametitle{History}%{{{ + Initial software: + \begin{itemize} + \item BAMG: Bidimensional Anisotropic Mesh Generator + \item developed by Fr\'ed\'eric Hecht (INRIA/universit\'e de Jussieux) + \item released in 2006 after more than 10 years of development + \item now part of FreeFEM++ + \end{itemize} + \vspace{2em} + + In ISSM: + \begin{itemize} + \item almost entirely rewritten + \item usual ISSM interface + \end{itemize} + \vspace{2em} + + Advantages: + \begin{itemize} + \item[+] anisotropic mesh adaptation capability + \item[-] not good for uniform meshes + \end{itemize} +\end{frame} +%}}} +\subsection{Uniform mesh} +\begin{frame}\frametitle{Usage}%{{{ + Arguments: + \begin{enumerate} + \item model + \item pair of options (see help) + \end{enumerate} + To create a uniform mesh: + \begin{enumerate} + \item {\tt 'domain'} followed by the domain name + \item {\tt 'hmax'} followed by the triangle size + \end{enumerate} + \lstinputlisting[firstline=5,lastline=5]{Code/ex1.m} + \begin{center} + \includegraphics[height=0.3\textheight]{Mesh_bamg1} + \end{center} + \begin{itemize} + \item Not as randomly distributed as {\tt triangle} + \end{itemize} +\end{frame} +%}}} +\subsection{Non-uniform mesh} +\begin{frame}\frametitle{Usage}%{{{ + To create a non-uniform mesh: + \begin{enumerate} + \item {\tt 'domain'} followed by the domain name + \item {\tt 'hvertices'} followed by the element size for each vertex of the domain outline + \end{enumerate} + \lstinputlisting[firstline=9,lastline=10]{Code/ex1.m} + \begin{center} + \includegraphics[height=0.4\textheight]{Mesh_bamg2} + \end{center} +\end{frame} +%}}} + +\section{Mesh adaptation} +\begin{frame}\frametitle{Finite element method}%{{{ + \begin{equation} + v = \sum_{i=1}^N v_i \, \Phi_i\left(x,y\right) + \end{equation} + \begin{center} + \includegraphics[width=0.8\textwidth]{ShapeFunction} + \end{center} +\end{frame} +%}}} +\begin{frame}\frametitle{Interpolation error}%{{{ + \begin{itemize} + \item We generally use piecewise linear elements ($P1$) + \item[$\rightarrow$] How to minimize interpolation error and the number of elements at the + same time? + \end{itemize} + \begin{center} + \includegraphics[width=0.8\textwidth]{error1d} + \end{center} +\end{frame} +%}}} +\subsection{Mesh refinement strategy} +\begin{frame}\frametitle{Costant field}%{{{ + \begin{center} + \only<1>{\includegraphics[width=0.6\textwidth]{Interp1}} + \only<2>{\includegraphics[width=0.6\textwidth]{Interp2}} + \end{center} + \uncover<2>{ + \begin{itemize} + \item Coarse elements OK for constant field + \end{itemize} + } +\end{frame} +%}}} +\begin{frame}\frametitle{Linear field}%{{{ + \begin{center} + \only<1>{\includegraphics[width=0.4\textwidth]{Interp3}} + \only<2>{\includegraphics[width=0.4\textwidth]{Interp4}} + \end{center} + \uncover<2>{ + \begin{itemize} + \item Coarse elements OK for linear field + \end{itemize} + } +\end{frame} +%}}} +\begin{frame}\frametitle{Non-Linear field}%{{{ + \begin{center} + \only<1>{\includegraphics[width=0.8\textwidth]{Interp5}} + \only<2>{\includegraphics[width=0.8\textwidth]{Interp5b}} + \only<3>{\includegraphics[width=0.8\textwidth]{Interp6}} + \only<4>{\includegraphics[width=0.8\textwidth]{Interp7}} + \only<5>{\includegraphics[width=0.8\textwidth]{Interp8}} + \end{center} +\end{frame} +%}}} +\begin{frame}\frametitle{Anisotropic mesh refinement}%{{{ + Strategy: + \begin{itemize} + \item Minimize the interpolation error for a given field + \item Metric based on field's Hessian matrix (second derivative) + \end{itemize} + \pause + \begin{center} + \includegraphics[width=0.9\textwidth]{JksBamg} + \end{center} +\end{frame} +%}}} +\subsection{Hands-on example} +\begin{frame}\frametitle{Field to capture}%{{{ + \scriptsize + \begin{equation*} + \begin{array}{r l} + f\left(x,y\right) & + = \exp\left( - \left(\dfrac{r - 0.75}{\varepsilon}\right)^2 \right) + 0.5 r^2 \\ + & + \quad \text{ with }\quad \varepsilon=0.25 \quad \text{ and }\quad r=\left(x+0.1\right)^2 + + \left(y+0.1\right)^2 + \end{array} + \end{equation*} + \begin{center} + \includegraphics[width=0.5\textwidth]{Bamgshock0} + \end{center} +\end{frame} +%}}} +\begin{frame}\frametitle{Uniform mesh}%{{{ + \lstinputlisting[firstline=9,lastline=11,basicstyle=\lstbasicfont\tiny]{Code/ex2.m} + \begin{center} + \includegraphics[width=0.45\textwidth]{Bamgshock1}\hspace{1em} + \includegraphics[width=0.45\textwidth]{Bamgshock1b} + \end{center} +\end{frame} +%}}} +\begin{frame}\frametitle{Mesh refinement}%{{{ + \lstinputlisting[firstline=16,lastline=20,basicstyle=\lstbasicfont\tiny]{Code/ex2.m} + \begin{center} + \includegraphics[width=0.45\textwidth]{Bamgshock2}\hspace{1em} + \includegraphics[width=0.45\textwidth]{Bamgshock2b} + \end{center} +\end{frame} +%}}} +\begin{frame}\frametitle{Mesh refinement}%{{{ + \lstinputlisting[firstline=25,lastline=29,basicstyle=\lstbasicfont\tiny]{Code/ex2.m} + \begin{center} + \includegraphics[width=0.45\textwidth]{Bamgshock3}\hspace{1em} + \includegraphics[width=0.45\textwidth]{Bamgshock3b} + \end{center} +\end{frame} +%}}} +\begin{frame}\frametitle{Mesh refinement}%{{{ + \lstinputlisting[firstline=34,lastline=38,basicstyle=\lstbasicfont\tiny]{Code/ex2.m} + \begin{center} + \includegraphics[width=0.45\textwidth]{Bamgshock4}\hspace{1em} + \includegraphics[width=0.45\textwidth]{Bamgshock4b} + \end{center} +\end{frame} +%}}} +\begin{frame}\frametitle{Mesh refinement}%{{{ + \lstinputlisting[firstline=43,lastline=47,basicstyle=\lstbasicfont\tiny]{Code/ex2.m} + \begin{center} + \includegraphics[width=0.45\textwidth]{Bamgshock5}\hspace{1em} + \includegraphics[width=0.45\textwidth]{Bamgshock5b} + \end{center} +\end{frame} +%}}} + +%Thanks slide{{{ +\usebackgroundtemplate{\includegraphics[width=\paperwidth,height=\paperheight]{Thanksbg}} +\begin{frame}[plain] + \ghostframe + \begin{center} + \vspace*{-0.1\paperheight} + \hspace*{-0.15\paperwidth}\Huge{Thanks!} + \end{center} + \note{Thank you very much for your attention} +\end{frame} +\usebackgroundtemplate{} +%}}} +\end{document} Index: /issm/workshop/2012/Talks/06_Mesh_generation/Code/Square.exp =================================================================== --- /issm/workshop/2012/Talks/06_Mesh_generation/Code/Square.exp (revision 14029) +++ /issm/workshop/2012/Talks/06_Mesh_generation/Code/Square.exp (revision 14029) @@ -0,0 +1,10 @@ +## Name:domainoutline +## Icon:0 +# Points Count Value +5 1. +# X pos Y pos +0 0 +1 0 +1 1 +0 1 +0 0 Index: /issm/workshop/2012/Talks/06_Mesh_generation/Code/circles.m =================================================================== --- /issm/workshop/2012/Talks/06_Mesh_generation/Code/circles.m (revision 14029) +++ /issm/workshop/2012/Talks/06_Mesh_generation/Code/circles.m (revision 14029) @@ -0,0 +1,7 @@ +function vel=circles(x,y), + + u=4*x-2; v=4*y-2; + + vel=tanh(30*(u.^2+v.^2-0.25)) ... + +tanh(30*((u-0.75).^2+(v-0.75).^2-0.25)) +tanh(30*((u-0.75).^2+(v+0.75).^2-0.25)) ... + +tanh(30*((u+0.75).^2+(v-0.75).^2-0.25)) +tanh(30*((u+0.75).^2+(v+0.75).^2-0.25)) ; Index: /issm/workshop/2012/Talks/06_Mesh_generation/Code/ex1.m =================================================================== --- /issm/workshop/2012/Talks/06_Mesh_generation/Code/ex1.m (revision 14029) +++ /issm/workshop/2012/Talks/06_Mesh_generation/Code/ex1.m (revision 14029) @@ -0,0 +1,11 @@ +md=triangle(model,'Square.exp',.2); +plotmodel(md,'data','mesh','axis','off equal','title','');export_fig('../Images/Mesh1.pdf'); +md=triangle(model,'Square.exp',.05); +plotmodel(md,'data','mesh','axis','off equal','title','');export_fig('../Images/Mesh2.pdf'); +md=bamg(model,'domain','Square.exp','hmax',.05); +plotmodel(md,'data','mesh','axis','off equal','title','');export_fig('../Images/Mesh_bamg1.pdf'); +md=squaremesh(model,100,200,15,25); +plotmodel(md,'data','mesh','axis','on equal','title','','xlim',[0 100],'ylim',[0 120]);export_fig('../Images/Mesh_sq1.pdf'); +hvertices=[0.2;0.2;0.005;0.2]; +md=bamg(model,'domain','Square.exp','hVertices',hvertices); +plotmodel(md,'data','mesh','axis','on equal','title','','xlim',[0 1],'ylim',[0 1]);export_fig('../Images/Mesh_bamg2.pdf'); Index: /issm/workshop/2012/Talks/06_Mesh_generation/Code/ex2.m =================================================================== --- /issm/workshop/2012/Talks/06_Mesh_generation/Code/ex2.m (revision 14029) +++ /issm/workshop/2012/Talks/06_Mesh_generation/Code/ex2.m (revision 14029) @@ -0,0 +1,50 @@ +%Initial mesh to display field +steps=6; +if any(steps==1), +md=bamg(model,'domain','Square.exp','hmax',.002); +vel=shock(md.mesh.x,md.mesh.y); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0); export_fig('../Images/Bamgshock0.pdf'); +end +if any(steps==2), +md=bamg(model,'domain','Square.exp','hmax',.05); +vel=shock(md.mesh.x,md.mesh.y); +plotmodel(md,'data',vel,'edgecolor','w'); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0); export_fig('../Images/Bamgshock1.pdf'); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0,'edgecolor',[.99 .99 .99]); export_fig('../Images/Bamgshock1b.pdf'); +end +if any(steps==3), +md=bamg(model,'domain','Square.exp','hmax',.005); +vel=shock(md.mesh.x,md.mesh.y); +md=bamg(md,'field',vel,'err',0.05,'hmin',0.005,'hmax',0.3); +vel=shock(md.mesh.x,md.mesh.y); +plotmodel(md,'data',vel,'edgecolor','w'); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0); export_fig('../Images/Bamgshock2.pdf'); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0,'edgecolor',[.99 .99 .99]); export_fig('../Images/Bamgshock2b.pdf'); +end +if any(steps==4), +md=bamg(model,'domain','Square.exp','hmax',.005); +vel=shock(md.mesh.x,md.mesh.y); +md=bamg(md,'field',vel,'err',0.03,'hmin',0.005,'hmax',0.3); +vel=shock(md.mesh.x,md.mesh.y); +plotmodel(md,'data',vel,'edgecolor','w'); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0); export_fig('../Images/Bamgshock3.pdf'); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0,'edgecolor',[.99 .99 .99]); export_fig('../Images/Bamgshock3b.pdf'); +end +if any(steps==5), +md=bamg(model,'domain','Square.exp','hmax',.005); +vel=shock(md.mesh.x,md.mesh.y); +md=bamg(md,'field',vel,'err',0.03,'hmin',0.005,'hmax',0.3,'gradation',3); +vel=shock(md.mesh.x,md.mesh.y); +plotmodel(md,'data',vel,'edgecolor','w'); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0); export_fig('../Images/Bamgshock4.pdf'); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0,'edgecolor',[.99 .99 .99]); export_fig('../Images/Bamgshock4b.pdf'); +end +if any(steps==6), +md=bamg(model,'domain','Square.exp','hmax',.005); +vel=shock(md.mesh.x,md.mesh.y); +md=bamg(md,'field',vel,'err',0.03,'hmin',0.005,'hmax',0.3,'gradation',1.3,'anisomax',1); +vel=shock(md.mesh.x,md.mesh.y); +plotmodel(md,'data',vel,'edgecolor','w'); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0); export_fig('../Images/Bamgshock5.pdf'); +plotmodel(md,'data',vel,'xlim',[0 1],'ylim',[0 1],'gridded',1,'whitepos',0,'edgecolor',[.99 .99 .99]); export_fig('../Images/Bamgshock5b.pdf'); +end Index: /issm/workshop/2012/Talks/06_Mesh_generation/Code/figs.m =================================================================== --- /issm/workshop/2012/Talks/06_Mesh_generation/Code/figs.m (revision 14029) +++ /issm/workshop/2012/Talks/06_Mesh_generation/Code/figs.m (revision 14029) @@ -0,0 +1,48 @@ +steps=[2]; +if any(steps==1), + md=squaremesh(model,1,1,2,2); + vel=zeros(md.mesh.numberofvertices,1); + plotmodel(md,'data',vel,'title','Constant field','colorbar',0,'xlim',[0 1],'ylim',[0 1]);export_fig('../Images/Interp1.pdf'); + plotmodel(md,'data',vel,'title','Constant field','colorbar',0,'xlim',[0 1],'ylim',[0 1],'edgecolor','k');export_fig('../Images/Interp2.pdf'); +end +if any(steps==2), + md=squaremesh(model,1,1,2,2); + vel=md.mesh.x+.5*md.mesh.y; + md.mesh.z=vel; + plotmodel(md,'data',vel,'title','Linear field','colorbar',0,'xlim',[0 1],'ylim',[0 1],'view',[-30 40]);export_fig('../Images/Interp3.pdf'); + plotmodel(md,'data',vel,'title','Linear field','colorbar',0,'xlim',[0 1],'ylim',[0 1],'view',[-30 40],'edgecolor','k');export_fig('../Images/Interp4.pdf'); +end +if any(steps==3), + md=squaremesh(model,1,1,40,2); + vel=-5*abs(md.mesh.x-.5).^3 +.5^3; md.mesh.z=vel; + plotmodel(md,'data',vel,'title','Non linear field','colorbar',0,'xlim',[0 1],'ylim',[0 1],'view',[40 10]);export_fig('../Images/Interp5.pdf'); +end +if any(steps==4), + md=squaremesh(model,1,1,5,5); + vel=-5*abs(md.mesh.x-.5).^3 +.5^3; md.mesh.z=vel; + plotmodel(md,'data',vel,'title','32 elements','colorbar',0,'edgecolor','k','xlim',[0 1],'ylim',[0 1],'view',[40 10]);export_fig('../Images/Interp5b.pdf'); +end +if any(steps==5), + %1500 elements + md=squaremesh(model,1,1,30,30); + vel=-5*abs(md.mesh.x-.5).^3 +.5^3; md.mesh.z=vel; + plotmodel(md,'data',vel,'title','1,500 elements','colorbar',0,'xlim',[0 1],'ylim',[0 1],'edgecolor','k','view',[40 10]);export_fig('../Images/Interp6.pdf'); +end +if any(steps==6), + %1000 elements + md=squaremesh(model,1,1,20,30); + md.mesh.x=sin((md.mesh.x-0.5)*pi); + md.mesh.x=md.mesh.x-min(md.mesh.x); + md.mesh.x=md.mesh.x/(max(md.mesh.x)); + vel=-5*abs(md.mesh.x-.5).^3 +.5^3; md.mesh.z=vel; + plotmodel(md,'data',vel,'title','1,000 elements','colorbar',0,'xlim',[0 1],'ylim',[0 1],'edgecolor','k','view',[40 10]);export_fig('../Images/Interp7.pdf'); +end +if any(steps==7), + %40 elements + md=squaremesh(model,1,1,20,2); + md.mesh.x=sin((md.mesh.x-0.5)*pi); + md.mesh.x=md.mesh.x-min(md.mesh.x); + md.mesh.x=md.mesh.x/(max(md.mesh.x)); + vel=-5*abs(md.mesh.x-.5).^3 +.5^3; md.mesh.z=vel; + plotmodel(md,'data',vel,'title','40 elements','colorbar',0,'xlim',[0 1],'ylim',[0 1],'edgecolor','k','view',[40 10]);export_fig('../Images/Interp8.pdf'); +end Index: /issm/workshop/2012/Talks/06_Mesh_generation/Code/shock.m =================================================================== --- /issm/workshop/2012/Talks/06_Mesh_generation/Code/shock.m (revision 14029) +++ /issm/workshop/2012/Talks/06_Mesh_generation/Code/shock.m (revision 14029) @@ -0,0 +1,3 @@ +function vel=shock(x,y), + + vel=exp(-(sqrt((x+0.1).^2+(y+0.1).^2)-0.75).^2*10^6)+((x+0.1).^2+(y+0.1).^2)/2; Index: /issm/workshop/2012/Talks/06_Mesh_generation/Makefile =================================================================== --- /issm/workshop/2012/Talks/06_Mesh_generation/Makefile (revision 14029) +++ /issm/workshop/2012/Talks/06_Mesh_generation/Makefile (revision 14029) @@ -0,0 +1,40 @@ +#Makefile for beamer +TARGET=06_Mesh_generation + +export TEXINPUTS=$(JPL_SVN)/publications/templates/beamer/Theme/Pasadena//: + +all: one + +one: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +complete: + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex +# bibtex $(TARGET) + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +bib: + bibtex $(TARGET) + +links: + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/general/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/subtheme/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/ML/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/graphics/JPL/*.pdf . + +unlinks: + find . -maxdepth 1 -type l -print | xargs rm + +open: + open -a /Applications/Adobe\ Reader\ 9/Adobe\ Reader.app/ $(TARGET).pdf + +clean: + rm -f ${TARGET}.{dvi,ps,pdf,toc,log,aux,out,nav,snm,bbl,blg,vrb} + +allclean: + make clean + make unlinks Index: /issm/workshop/2012/Talks/06_Mesh_generation/mcode.sty =================================================================== --- /issm/workshop/2012/Talks/06_Mesh_generation/mcode.sty (revision 14029) +++ /issm/workshop/2012/Talks/06_Mesh_generation/mcode.sty (revision 14029) @@ -0,0 +1,280 @@ +%% +%% This is file `mcode.sty' +%% +%% It is supposed to help you easily include MATLAB source code +%% into LaTeX document, but have it nicely highlighted, using +%% the great listings package. +%% +%% PLEASE NOTE that this package does nothing but save you from +%% figuring out some configurations in setting up the LISTINGS +%% package. ALL the work is done by that package! Thus, please +%% refer your questions to the listings package documentation. +%% +%% Usage: You have three ways of including your MATLAB code. As +%% environment, as inline object and directly from an external +%% file. +%% +%% 1) Environment: +%% +%% \begin{lstlisting} +%% YOUR CODE HERE +%% \end{lstlisting} +%% +%% +%% 2) Inline object: +%% +%% Bla bla \mcode{CODEFRAGMENT} bla bla. +%% +%% +%% 3) Include external file (in environment form) +%% +%% \lstinputlisting{YOUR-FILE.m} +%% +%% +%% For your convenience this package has the following options: +%% +%% - bw if you intend to print the document (highlighting done +%% via text formatting (bold, italic) and shades of gray) +%% +%% - numbered if you want line numbers +%% +%% - autolinebreaks if you want the package to automatically +%% wrap your code. This is buggy as it may well break +%% break syntax and it doesn't work well with comments. +%% You REALLY should wrap your code manually. +%% +%% - useliterate if you want some characters / relations in +%% your code to be replace with something more readable. +%% Example: ~= becomes $\neq$, >= becomes $\geq$, delta +%% becomes $\delta$ and so on. +%% +%% - framed if you want a frame around the source code blocks +%% +%% - final if you have ``gloablly'' set the draft option, the +%% listings package will not output the code at all. to +%% force it to do so anyway, load this package with the +%% final option (passes the ``final'' on to listings). +%% +%% For example, you may use \usepackage[numbered,framed]{mcode} +%% in your document preamble. +%% +%% Note: Inside code blocks you can escape to LaTeX text mode +%% using §...§. For ex. §text and some math: $x^2$§, which is +%% especially useful in comments for putting nicely typeset +%% equations etc. To get the same colour/style as in the rest +%% of the comment use \mcommentfont, i.e. §\mcommentfont $x^2$§ +%% +%% To change the font used, edit the first line in the "custo- +%% mise below" section. And feel free to edit other things as +%% well. Refer to the documentation of the listings package to +%% see what else you could do. If an extra small font is re- +%% quired, use {\fontfamily{pcr}\fontsize{3}{4.6}\selectfont} +%% in the definition of \lstbasicfont. +%% +%% Author: +%% Florian Knorn | florian@knorn.org | www.florian-knorn.com +%% +%% Version history: +%% 2.2 -- Bugfix (thanks Willi Gerbig!) +%% 2.1 -- Finally automatic detection between end and end +%% 2.0 -- New options for line breaking and literate prog. +%% 1.8 -- Fixed typo in documentation regarding §...§ +%% 1.7 -- Added MATLAB block comment syntax %{ ...... %} +%% 1.6 -- Added some infos, dealing with keyword ``end'' +%% 1.5 -- Tweaked check to see wether textcomp is loaded +%% 1.4 -- Fixed misconfig (mathescape now set to false) +%% 1.3 -- Purely cosmetic (tabs replaced by spaces) +%% 1.2 -- Added \lstset{showstringspaces=false} +%% 1.1 -- Added \mcode command and [final] option +%% 1.0 -- Release + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% D O N ' T T O U C H T H I S % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\fileversion{2.2} +\def\filedate{2011/08/26} + +\typeout{-- Package: `mcode' \fileversion\space <\filedate> --} +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mcode}[\filedate\space\fileversion] + +% for bw-option +\newif\ifbw +\DeclareOption{bw}{\bwtrue} + +% numbered option +\newif\ifnumbered +\DeclareOption{numbered}{\numberedtrue} + +% final option +\newif\iffinal +\DeclareOption{final}{\finaltrue} + +% autolinebreaks option +\newif\ifautolinebreaks +\DeclareOption{autolinebreaks}{\autolinebreakstrue} + +% literate programming (replace certain characters/relations +\newif\ifuseliterate +\DeclareOption{useliterate}{\useliteratetrue} + +% framed option +\newif\ifframed +\DeclareOption{framed}{\framedtrue} + +\DeclareOption*{% default + \PackageWarning{mcode}{Unknown option `\CurrentOption' !}% +} +\ProcessOptions + +\ifbw\typeout{ - settings optimized for printing (bw formating)} +\else\typeout{ - settings optimized for display (colour formating)}\fi +\ifnumbered\typeout{ - line numbering enabled}\else\fi +\ifuseliterate\typeout{ - literate programming (character replacements) enabled}\else\fi +\ifautolinebreaks\typeout{ - automatic line breaking enabled (careful, buggy!)}\else\fi +\ifframed\typeout{ - framed listings}\else\fi + +% This command allows you to typeset syntax highlighted Matlab +% code ``inline''. The font size \small seems to look best... +\newcommand{\mcode}[1]{\lstinline[basicstyle=\lstbasicfont\small]|#1|} + +% check if color command exists +\ifx\color\undefined% + \RequirePackage{xcolor}% +\fi + +% check if listings has been loaded +\ifx\lstset\undefined% + \iffinal + \RequirePackage[final]{listings} + \else + \RequirePackage{listings} + \fi +\fi + +% Check if textcomp has been loaded (this package is needed for +% upright quotes '' (instead of typographic ones `´)... +\ifx\textquotesingle\undefined% + \RequirePackage{textcomp}% +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% C U S T O M I S E B E L O W % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% --------------------------------------------------------------------------------- +% default font +\def\lstbasicfont{\fontfamily{pcr}\selectfont\footnotesize} + +% --------------------------------------------------------------------------------- +% matlat languate definition +\lstdefinelanguage{matlabfloz}{% + alsoletter={...},% + morekeywords={% % keywords + break,case,catch,continue,elseif,else,end,for,function,global,% + if,otherwise,persistent,return,switch,try,while,...},% + comment=[l]\%, % comments + morecomment=[l]..., % comments + morecomment=[s]{\%\{}{\%\}}, % block comments + morestring=[m]' % strings +}[keywords,comments,strings]% + +% --------------------------------------------------------------------------------- +% general definitions +\lstset{% + basicstyle={\lstbasicfont}, % set font + showstringspaces=false, % do not emphasize spaces in strings + tabsize=3, % number of spaces of a TAB + mathescape=false,escapechar=§, % escape to latex with §...§ + upquote=true, % upright quotes + aboveskip={1.5\baselineskip}, % a bit of space above listings + columns=fixed % nice spacing +} + +% --------------------------------------------------------------------------------- +% define colours and styles +\ifbw % use font formating and gray 'colors' + \def\mcommentfont{\color[gray]{.75}\itshape} %comments light gray and italic + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\bfseries, % keywords in bold + commentstyle=\mcommentfont, % comments + stringstyle=\color[gray]{0.5} % strings darker gray + } +\else% notbw => use colors : ) + \def\mcommentfont{\color[rgb]{.133,.545,.133}} %comments in green + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\color[rgb]{0,0,1}, % keywords in blue + commentstyle=\mcommentfont, % comments + stringstyle=\color[rgb]{.627,.126,.941} % strings in purple + } +\fi%bw + +% --------------------------------------------------------------------------------- +% automatic line breaking --- warning, this is buggy and +% doesn't break comments correctly! +\ifautolinebreaks + \newsavebox{\lbreakdots}\sbox{\lbreakdots}{\lstbasicfont\mcommentfont...} + \lstset{breaklines=true,breakatwhitespace=true,prebreak=\usebox{\lbreakdots}} +\fi + +% --------------------------------------------------------------------------------- +% literate replacements +% the following is for replacing some matlab relations like >= or ~= +% by the corresponding LaTeX symbols, which are much easier to read ... +\ifuseliterate + \lstset{% + literate=% + {~}{{$\neg$}}1 % \neg + {<=}{{\tiny$\leq$}}1 % \leq + {>=}{{\tiny$\geq$}}1 % \geq + {~=}{{\tiny$\neq$}}1 % \neq + {delta}{{\tiny$\Delta$}}1 % \Delta + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\else + \lstset{% + literate=% + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\fi%literates + +% --------------------------------------------------------------------------------- +% line numbering +\ifnumbered% numbered option + \lstset{% + numbersep=3mm, numbers=left, numberstyle=\tiny, % number style + } +\fi + +\ifframed% framed option + \lstset{% + frame=single, % frame + } + \ifnumbered% + \lstset{% + framexleftmargin=6mm, xleftmargin=6mm % tweak margins + } + \fi +\fi + +\endinput +%% End of file `mcode.sty'. Index: /issm/workshop/2012/Talks/07_Ice_flow_models/11_Ice_flow_models.tex =================================================================== --- /issm/workshop/2012/Talks/07_Ice_flow_models/11_Ice_flow_models.tex (revision 14029) +++ /issm/workshop/2012/Talks/07_Ice_flow_models/11_Ice_flow_models.tex (revision 14029) @@ -0,0 +1,791 @@ +%Preamble {{{1 +\documentclass[8pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[life,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{multicol} +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{booktabs} %nice tables (toprule, bottomrule,...) +\graphicspath{ % directories where the pictures are located +{Images/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen + +\setbeamercovered{transparent} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{1 +\newcommand*{\MAT}[1]{\ensuremath{\mathbf{#1}} } %Matrice name (Bold) +\newcommand*{\VEC}[1]{\ensuremath{\bm{#1}} } %Vector name (Bold Italic) +\newcommand*{\SET}[1]{\ensuremath{\mathcal{#1} }} %Set, Space (italic) +\newcommand*{\R}[0]{{\mathbb R}} %real set IR +\newcommand*{\N}[0]{{\mathbb N}} %natural set IN +\newcommand*{\Trace}[1]{\text{Tr}\left( #1\right)} %trace (Tr(A)) +\newcommand*{\abs}[1]{\left| #1\right|} %absolute value |x| +\newcommand*{\norm}[1]{\left\| #1 \right\|} %norm ||x|| +\newcommand*{\ent}[1]{\lfloor #1 \rfloor} %floor function [f] +\newcommand*{\grad}[1]{\nabla #1} +\newcommand*{\divergence}[1]{\nabla \cdot #1} +\newcommand*{\Divergence}[1]{\nabla \cdot #1} +\newcommand*{\eps}[0]{\dot{\bm \varepsilon}} %strain rate tensor +\newcommand*{\epseff}[0]{\ensuremath{\dot{\varepsilon}_{e} }} %effective strain rate +\newcommand*{\epscomp}[0]{\dot{\varepsilon}} %strain rate tensor component +\newcommand*{\stress}[0]{{\bm \sigma}} %stress tensor +\newcommand*{\devstress}[0]{\stress'} %deviatoric stress tensor +\newcommand*{\stresscomp}[0]{\ensuremath{\sigma}} %stress tensor component +\newcommand*{\vel}[0]{\VEC{v}} %velocity vector +\newcommand*{\velbar}[0]{\VEC{\bar{v} }} %velocity vector BAR +\newcommand*{\velobs}[0]{\ensuremath{\VEC{v}^{\text{obs}} }}%velocity obs +\newcommand*{\ubar}[0]{\ensuremath{\overline{v}_x}} %velocity vector BAR +\newcommand*{\vbar}[0]{\ensuremath{\overline{v}_y}} %velocity vector BAR +\newcommand*{\vx}[0]{\ensuremath{v_x}} %vx +\newcommand*{\vy}[0]{\ensuremath{v_y}} %vy +\newcommand*{\vz}[0]{\ensuremath{v_z}} %vz +\newcommand*{\vxobs}[0]{\ensuremath{v_x^{\text{obs}} }}%vx obs +\newcommand*{\vyobs}[0]{\ensuremath{v_y^{\text{obs}} }}%vy +\newcommand*{\pressure}[0]{p} %pressure +\newcommand*{\nx}[0]{\ensuremath{n_x}} %nx +\newcommand*{\ny}[0]{\ensuremath{n_y}} %ny +\newcommand*{\nz}[0]{\ensuremath{n_z}} %nz +\newcommand*{\Lagrangian}[0]{\ensuremath{\mathcal{L} }} +\newcommand*{\Ms}[0]{\ensuremath{\dot{M}_s}} +\newcommand*{\Mb}[0]{\ensuremath{\dot{M}_b}} +\newcommand*{\Omb}[0]{\color{blue}\Omega_1\color{black}} +\newcommand*{\Omr}[0]{\color{red}\Omega_2\color{black}} +\newcommand*{\Vb}[0]{\color{blue}V_1\color{black}} +\newcommand*{\Vr}[0]{\color{red}V_2\color{black}} +\newcommand*{\Vbt}[0]{\color{blue}V_{1}\color{black}} +\newcommand*{\Vrt}[0]{\color{red}V_{2}\color{black}} +\newcommand*{\rest}[2]{\ensuremath{{#1}_{\left. \right|_{#2}} }} +%%Automatically insert outline slide at the begining of each new section (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{1 +\title[Ice flow models]{Ice Sheet System model} +\subtitle{Ice flow models} +\author[Larour et al.]{ +Eric \textsc{Larour}\inst{1}, +Eric \textsc{Rignot}\inst{1,3}, +Mathieu \textsc{Morlighem}\inst{1,2}, +\textbf{H\'el\`ene \textsc{Seroussi}}\inst{1,2} +Chris \textsc{Borstad}\inst{1}, +Feras \textsc{Habbal}\inst{1,3}, +Daria \textsc{Halkides}\inst{1,4}, +Behnaz \textsc{Khakbaz}\inst{1}, +John \textsc{Schiermeier}\inst{1}, +Nicole \textsc{Schlegel}\inst{1} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}Laboratoire MSSMat, \'Ecole Centrale Paris, France\\ +\inst{3}University of California, Irvine\\ +\inst{4}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2011]{ISSM Workshop 2011} +\date[]{\hspace{-15em}December 2011\hspace{3em}\copyright Copyright 2011. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} +\begin{document} + +%Title slide %{{{1 +\begin{frame}[plain] %No headers or footers + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Outline}%{{{1 + \tableofcontents +\end{frame}%}}} +\section{Ice flow equations} +\subsection{Approximations implemented} +\begin{frame} \frametitle{Ice Sheet flow equations} %{{{ + \begin{block}{Incompressibility} + \begin{equation} \everymath{\displaystyle} %pour mettre des displaystyle partout + \forall \VEC{x}\in\Omega \hspace{3em} \nabla \cdot {\vel} =\Trace{\eps} + =\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} + \frac{\partial w}{\partial z} + =0 + \end{equation} + \begin{itemize} + \item $\vel=\left(u,v,w\right)$ ice velocity (m/yr) + \item $\eps$ strain rate tensor (yr\textsuperscript{-1}) + \end{itemize} + \end{block} + + \begin{block}{Incompressible viscous fluid} + \begin{equation} + {\bm \sigma'}=2\mu\eps + \end{equation} + \begin{itemize} + \item ${\bm \sigma'}$ deviatoric stress + \item $\mu$ ice viscosity + \item $\eps$ strain rate tensor + \end{itemize} + \end{block} + + \begin{block}{Glen's flow law} + \begin{equation} + \mu = \frac{B}{2 \, \epseff^{\frac{n-1}{n}} } + \end{equation} + \begin{itemize} + \item $B$ ice hardness + \item $n$ Glen's law coefficient ($n=3$) + \item $\epseff$ effective strain rate (second invariant) + \end{itemize} + \end{block} + \note{ + Ice is treated as an incompressible material so the divergence of its velocity is equal to 0. It + is also considered as a purely viscous material, so the behavior law only includes the strain + rate tensor. As it is incompressible, only the deviatoric stress is involved. mu is the ice + viscosity estimated using Glen's flow law. This law was established in the 50's based on in-situ + measurements and lab experiments. Notice that the effective strain rate tensor is involved so it + is a non-linear material law. } +\end{frame} %}}} +\begin{frame} \frametitle{Ice Sheet flow equations} %{{{ + \vspace{-10pt} + \begin{block}{Conservation of momentum} + \begin{equation} + \forall \VEC{x}\in\Omega \hspace{3em} \nabla \cdot \devstress-\nabla P + \rho \VEC{g} = \VEC{0} + \end{equation} + Assumptions: + \begin{enumerate} + \item Stokes flow (quasi-static assumption) + \item Coriolis effect negligible + \end{enumerate} + \end{block} + \begin{block}{Boundary conditions} + \renewcommand\arraystretch{1.5} + \begin{tabular}[b]{lll} + Ice/Air interface: Free surface & $\Gamma_s$ & $\stress \cdot\VEC{n}=P_{atm}\;\VEC{n}\simeq\VEC{0}$\\ + Ice/Ocean interface: water pressure & $\Gamma_w$ & $\stress \cdot\VEC{n}=P_w\;\VEC{n}$\\ + Ice/Bedrock interface (1): lateral friction & $\Gamma_b$ & $ \left( \stress \cdot\VEC{n} + \beta\vel \right)_\parallel =\VEC{0}$ \\ + Ice/Bedrock interface (2): impenetrability & $\Gamma_b$ & $ \vel\cdot\VEC{n}=\VEC{0} $ \\ + Side boundaries: Dirichlet & $\Gamma_u$ & $\vel=\vel_{obs}$ + \end{tabular} + \end{block} + \note{ + Two assumptions are made in the conservation of the momentum. The first one is that we have a + quasi-static flow so the acceleration is neglected and we have Stokes equations. We second + assumption is that the Coriolis effect is negligible. The boundary conditions used for this + models are a free surface on the upper surface (ice/air interface), the air pressure is almost + equal to 0. Water pressure is applied at the ice/ocean interface. For the ice/bedrock interface, + the ice cannot penetrate the rock so the velocity normal to the interface is 0. Basal friction + applies tangential to the interface. Non homogeneous Dirichlet boundary conditions based on + observations of velocity are applied for the other lateral boundaries. + } +\end{frame} %}}} +\begin{frame} \frametitle{Models description} %{{{ + + \begin{columns} + \begin{column}{.6\linewidth} + Full-Stokes model: + \begin{itemize} + \item Momentum balance + incompressibility + \item 3D model + \item Four unknowns ($\vx,\vy,\vz,\pressure$) + \end{itemize} + \end{column} + \begin{column}{.4\linewidth} + \includegraphics[width=0.6\textwidth]{Stokes} + \end{column} + \end{columns} + + \begin{block}{Model equations} + \begin{align*} + \begin{array}{c} + \displaystyle \left\{ + \begin{array}{l} + \displaystyle + \frac{\partial}{\partial x} \left( 2\mu \frac{\partial \vx}{\partial x} \right) + +\frac{\partial}{\partial y} \left( \mu \frac{\partial \vx}{\partial y} + \mu \frac{\partial \vy}{\partial x} \right) + \color{black} +\frac{\partial}{\partial z} \left( \mu \frac{\partial \vx}{\partial z} \color{black} + {\color{black} +\mu \frac{\partial \vz}{\partial x}} \color{black}\right)\color{black} + -\frac{\partial \pressure}{\partial x}=0\\ + \\ + \displaystyle + \frac{\partial}{\partial x} \left( \mu \frac{\partial \vx}{\partial y} +\mu \frac{\partial \vy}{\partial x} \right) + +\frac{\partial}{\partial y} \left( 2 \mu \frac{\partial \vy}{\partial y} \right) + \color{black} +\frac{\partial}{\partial z} \left( \mu \frac{\partial \vy}{\partial z} \color{black} + {\color{black} +\mu \frac{\partial \vz}{\partial y}} \color{black}\right) \color{black} + -\frac{\partial \pressure}{\partial y}=0\\ + \\ + \displaystyle + {\color{black} \frac{\partial}{\partial x} \left( \mu \frac{\partial \vx}{\partial z} +\mu \frac{\partial \vz}{\partial x} \right) + +\frac{\partial}{\partial y} \left( \mu \frac{\partial \vy}{\partial z} +\mu \frac{\partial \vz}{\partial y} \right)} + + \frac{\partial}{\partial z} \left( 2 \mu \frac{\partial \vz}{\partial z} \right) + -\frac{\partial \pressure}{\partial z}- \rho g=0 + \end{array} \right. \\ + \\ + \displaystyle \frac{\partial \vx}{\partial x}+\frac{\partial \vy}{\partial y}+\frac{\partial \vz}{\partial z}=0 + \end{array} + \end{align*} + \end{block} + + \note{All the ice flow models are derived from the momentum balance and incompressibility + equations. If we neglect the acceleration terms, we obtain the full-Stokes equations. It is a 3D + model with four unknowns (three components of velocity vx, vy and vz and the pressure P).\\ + A first approximation was introduced by Blatter in 1995 and improved by Pattyn in 2003. We call + it "higher order model" or Blatter/Pattyn model. It is also 3d but the horizontal gradients + of the vertical velocity are neglected compared to the vertical gradient of the horizontal + velocities (first two lines). The bridging effect is also neglected. So only the black and blue terms + remain. After some algebraic manipulation we can show that the equations are decoupled and the + horizontal and vertical components of velocity are solved successively. We have a system of 2 + equations with two unknowns.\\ + The last approximation we use here is the shallow-shelf or Shelfy-Stream approximation introduced + by MacAyeal in 1989. An additional assumption is made here: we neglect the vertical shear so the + ice moves like a block. The equations can be vertically integrated which gives a 2d model with 2 + unknowns. Only the black terms of the equations remain.} +\end{frame} %}}} +\begin{frame} \frametitle{Models description} %{{{ + + \begin{columns} + \begin{column}{.6\linewidth} + Higher-order model: + \begin{itemize} + \item \cite{Blatter1995,Pattyn2003} + \item 3D model + \item Horizontal and vertical velocity decoupled + \item 2 ($\vx,\vy$) + 1 ($\vz$) unknowns + \end{itemize} + \end{column} + \begin{column}{.4\linewidth} + \includegraphics[width=0.6\textwidth]{Pattyn} + \end{column} + \end{columns} + + \begin{block}{Model equations} + \begin{align*} + \begin{array}{c} + \displaystyle \left\{ + \begin{array}{l} + \displaystyle + \frac{\partial}{\partial x} \left( 2\mu \frac{\partial \vx}{\partial x} \right) + +\frac{\partial}{\partial y} \left( \mu \frac{\partial \vx}{\partial y} + \mu \frac{\partial \vy}{\partial x} \right) + \color{black} +\frac{\partial}{\partial z} \left( \mu \frac{\partial \vx}{\partial z} \color{black} + {\color{red} +\mu \frac{\partial \vz}{\partial x}} \color{black}\right)\color{black} + -\frac{\partial \pressure}{\partial x}=0\\ + \\ + \displaystyle + \frac{\partial}{\partial x} \left( \mu \frac{\partial \vx}{\partial y} +\mu \frac{\partial \vy}{\partial x} \right) + +\frac{\partial}{\partial y} \left( 2 \mu \frac{\partial \vy}{\partial y} \right) + \color{black} +\frac{\partial}{\partial z} \left( \mu \frac{\partial \vy}{\partial z} \color{black} + {\color{red} +\mu \frac{\partial \vz}{\partial y}} \color{black}\right) \color{black} + -\frac{\partial \pressure}{\partial y}=0\\ + \\ + \displaystyle + {\color{red} \frac{\partial}{\partial x} \left( \mu \frac{\partial \vx}{\partial z} +\mu \frac{\partial \vz}{\partial x} \right) + +\frac{\partial}{\partial y} \left( \mu \frac{\partial \vy}{\partial z} +\mu \frac{\partial \vz}{\partial y} \right)} + + \frac{\partial}{\partial z} \left( 2 \mu \frac{\partial \vz}{\partial z} \right) + -\frac{\partial \pressure}{\partial z}- \rho g=0 + \end{array} \right. \\ + \\ + \displaystyle \frac{\partial \vx}{\partial x}+\frac{\partial \vy}{\partial y}+\frac{\partial \vz}{\partial z}=0 + \end{array} + \end{align*} + \end{block} + + \note{All the ice flow models are derived from the momentum balance and incompressibility + equations. If we neglect the acceleration terms, we obtain the full-Stokes equations. It is a 3D + model with four unknowns (three components of velocity vx, vy and vz and the pressure P).\\ + A first approximation was introduced by Blatter in 1995 and improved by Pattyn in 2003. We call + it "higher order model" or Blatter/Pattyn model. It is also 3d but the horizontal gradients + of the vertical velocity are neglected compared to the vertical gradient of the horizontal + velocities (first two lines). The bridging effect is also neglected. So only the black and blue terms + remain. After some algebraic manipulation we can show that the equations are decoupled and the + horizontal and vertical components of velocity are solved successively. We have a system of 2 + equations with two unknowns.\\ + The last approximation we use here is the shallow-shelf or Shelfy-Stream approximation introduced + by MacAyeal in 1989. An additional assumption is made here: we neglect the vertical shear so the + ice moves like a block. The equations can be vertically integrated which gives a 2d model with 2 + unknowns. Only the black terms of the equations remain.} +\end{frame} %}}} +\begin{frame} \frametitle{Models description} %{{{ + + \begin{columns} + \begin{column}{.6\linewidth} + Shelfy-stream approximation: + \begin{itemize} + \item \cite{MacAyeal1989} + \item 2D model + \item Horizontal and vertical velocity decoupled + \item 2 ($\vx,\vy$) + 1 ($\vz$) unknowns + \end{itemize} + \end{column} + \begin{column}{.4\linewidth} + \includegraphics[width=0.6\textwidth]{MacAyeal} + \end{column} + \end{columns} + + \begin{block}{Model equations} + \begin{align*} + \begin{array}{c} + \displaystyle \left\{ + \begin{array}{l} + \displaystyle + \frac{\partial}{\partial x} \left( 2\mu \frac{\partial \vx}{\partial x} \right) + +\frac{\partial}{\partial y} \left( \mu \frac{\partial \vx}{\partial y} + \mu \frac{\partial \vy}{\partial x} \right) + \color{blue} +\frac{\partial}{\partial z} \left( \mu \frac{\partial \vx}{\partial z} \color{black} + {\color{red} +\mu \frac{\partial \vz}{\partial x}} \color{blue}\right)\color{black} + -\frac{\partial \pressure}{\partial x}=0\\ + \\ + \displaystyle + \frac{\partial}{\partial x} \left( \mu \frac{\partial \vx}{\partial y} +\mu \frac{\partial \vy}{\partial x} \right) + +\frac{\partial}{\partial y} \left( 2 \mu \frac{\partial \vy}{\partial y} \right) + \color{blue} +\frac{\partial}{\partial z} \left( \mu \frac{\partial \vy}{\partial z} \color{black} + {\color{red} +\mu \frac{\partial \vz}{\partial y}} \color{blue}\right) \color{black} + -\frac{\partial \pressure}{\partial y}=0\\ + \\ + \displaystyle + {\color{red} \frac{\partial}{\partial x} \left( \mu \frac{\partial \vx}{\partial z} +\mu \frac{\partial \vz}{\partial x} \right) + +\frac{\partial}{\partial y} \left( \mu \frac{\partial \vy}{\partial z} +\mu \frac{\partial \vz}{\partial y} \right)} + + \frac{\partial}{\partial z} \left( 2 \mu \frac{\partial \vz}{\partial z} \right) + -\frac{\partial \pressure}{\partial z} - \rho g=0 + \end{array} \right. \\ + \\ + \displaystyle \frac{\partial \vx}{\partial x}+\frac{\partial \vy}{\partial y}+\frac{\partial \vz}{\partial z}=0 + \end{array} + \end{align*} + \end{block} + + \note{All the ice flow models are derived from the momentum balance and incompressibility + equations. If we neglect the acceleration terms, we obtain the full-Stokes equations. It is a 3D + model with four unknowns (three components of velocity vx, vy and vz and the pressure P).\\ + A first approximation was introduced by Blatter in 1995 and improved by Pattyn in 2003. We call + it "higher order model" or Blatter/Pattyn model. It is also 3d but the horizontal gradients + of the vertical velocity are neglected compared to the vertical gradient of the horizontal + velocities (first two lines). The bridging effect is also neglected. So only the black and blue terms + remain. After some algebraic manipulation we can show that the equations are decoupled and the + horizontal and vertical components of velocity are solved successively. We have a system of 2 + equations with two unknowns.\\ + The last approximation we use here is the shallow-shelf or Shelfy-Stream approximation introduced + by MacAyeal in 1989. An additional assumption is made here: we neglect the vertical shear so the + ice moves like a block. The equations can be vertically integrated which gives a 2d model with 2 + unknowns. Only the black terms of the equations remain.} +\end{frame} %}}} +\begin{frame} \frametitle{Models description} %{{{ + + \begin{columns} + \begin{column}{.6\linewidth} + Shallow ice approximation: + \begin{itemize} + \item \cite{Hutter1983} + \item 3D analytical model + \item 2 unknowns ($\vx,\vy$) computed separately + \end{itemize} + \end{column} + \begin{column}{.4\linewidth} + \includegraphics[width=0.35\textwidth]{Hutter} + \end{column} + \end{columns} + + \begin{block}{Model equations} + \begin{align*} + \begin{array}{c} + \displaystyle \left\{ + \begin{array}{l} + \displaystyle + {\color{red} \frac{\partial}{\partial x} \left( 2\mu \frac{\partial \vx}{\partial x} \right) + +\frac{\partial}{\partial y} \left( \mu \frac{\partial \vx}{\partial y} + \mu \frac{\partial \vy}{\partial x} \right)} + +\frac{\partial}{\partial z} \left( \mu \frac{\partial \vx}{\partial z} + {\color{red} +\mu \frac{\partial \vz}{\partial x}}\right) + -\frac{\partial \pressure}{\partial x}=0\\ + \\ + \displaystyle + {\color{red} \frac{\partial}{\partial x} \left( \mu \frac{\partial \vx}{\partial y} +\mu \frac{\partial \vy}{\partial x} \right) + +\frac{\partial}{\partial y} \left( 2 \mu \frac{\partial \vy}{\partial y} \right) } + +\frac{\partial}{\partial z} \left( \mu \frac{\partial \vy}{\partial z} + {\color{red}+\mu \frac{\partial \vz}{\partial y}} \right) + -\frac{\partial \pressure}{\partial y}=0\\ + \\ + \displaystyle + {\color{red} \frac{\partial}{\partial x} \left( \mu \frac{\partial \vx}{\partial z} +\mu \frac{\partial \vz}{\partial x} \right) + +\frac{\partial}{\partial y} \left( \mu \frac{\partial \vy}{\partial z} +\mu \frac{\partial \vz}{\partial y} \right) + + \frac{\partial}{\partial z} \left( 2 \mu \frac{\partial \vz}{\partial z} \right) } + -\frac{\partial \pressure}{\partial z}- \rho g=0 + \end{array} \right. \\ + \\ + \displaystyle \frac{\partial \vx}{\partial x}+\frac{\partial \vy}{\partial y}+\frac{\partial \vz}{\partial z}=0 + \end{array} + \end{align*} + \end{block} + + \note{The last model is the shallow ice approximation, proposed in the 80's by Hutter based on + the shallow aspect ratio of ice (much thinner than larger). The assumptions made here are rather + different than for the previous three models as only the variations of pressure and vertical + variations of horizontal velocities are kept. This model is semi-analytical and is computed + easily. However it is very simple and cannot be use at hight resolution (less than 10 or 20 km), + for this reason it is not appropriate to accurately describe ice streams. We will not use it in + the rest of this presentation.} +\end{frame} %}}} +\begin{frame} \frametitle{Material non-linearity} %{{{ + + \begin{block}{Model equations} + \begin{align*} + \begin{array}{c} + \displaystyle \left\{ + \begin{array}{l} + \displaystyle + \frac{\partial}{\partial x} \left( 2\mu \frac{\partial \vx}{\partial x} \right) + +\frac{\partial}{\partial y} \left( \mu \frac{\partial \vx}{\partial y} + \mu \frac{\partial \vy}{\partial x} \right) + \color{black} +\frac{\partial}{\partial z} \left( \mu \frac{\partial \vx}{\partial z} \color{black} + {\color{black} +\mu \frac{\partial \vz}{\partial x}} \color{black}\right)\color{black} + -\frac{\partial \pressure}{\partial x}=0\\ + \\ + \displaystyle + \frac{\partial}{\partial x} \left( \mu \frac{\partial \vx}{\partial y} +\mu \frac{\partial \vy}{\partial x} \right) + +\frac{\partial}{\partial y} \left( 2 \mu \frac{\partial \vy}{\partial y} \right) + \color{black} +\frac{\partial}{\partial z} \left( \mu \frac{\partial \vy}{\partial z} \color{black} + {\color{black} +\mu \frac{\partial \vz}{\partial y}} \color{black}\right) \color{black} + -\frac{\partial \pressure}{\partial y}=0\\ + \\ + \displaystyle + {\color{black} \frac{\partial}{\partial x} \left( \mu \frac{\partial \vx}{\partial z} +\mu \frac{\partial \vz}{\partial x} \right) + +\frac{\partial}{\partial y} \left( \mu \frac{\partial \vy}{\partial z} +\mu \frac{\partial \vz}{\partial y} \right)} + + \frac{\partial}{\partial z} \left( 2 \mu \frac{\partial \vz}{\partial z} \right) + -\frac{\partial \pressure}{\partial z}- \rho g=0 + \end{array} \right. \\ + \\ + \displaystyle \frac{\partial \vx}{\partial x}+\frac{\partial \vy}{\partial y}+\frac{\partial \vz}{\partial z}=0 + \end{array} + \end{align*} + \end{block} + + \begin{block}{Glen's flow law} + \begin{equation} + \mu = \frac{B}{2 \, \epseff^{\frac{n-1}{n}} } + \end{equation} + \begin{itemize} + \item $B$ ice hardness + \item $n$ Glen's law coefficient ($n=3$) + \item $\epseff$ effective strain rate (second invariant) + \end{itemize} + \end{block} + + $\rightarrow$ Treatment of non-linearity with fixed point + + \note{For all models, mu is non linear (depends on the velocity derivatives) and therefore the + previous equations (for all three models) are nonlinear. We need an iterative scheme to solve + them and we use a fixed-point to do so. } +\end{frame} %}}} +\begin{frame} \frametitle{Material non-linearity} %{{{ + Treatment of non-linearity with fixed point: + + \begin{center} + \includegraphics[height=0.68\textheight]{convergence} + \end{center} + + Vertical velocity computed with incompressibility for 2d shelfy-stream and 3d Blatter/Pattyn + modes. + \note{ + We saw that the behavior law is non linear so this is the schematic we use to solve this + non-linearity problem. We use a fix-point or Picard method. For FS, on the right, we start from + an estimated velocity, we calculate the associated viscosity and use it in the weak formulation. + We find a new velocity and calcule the corresponding viscosity, and iterate until it converges + and we have reach the convergence criterion. For BP or SSA, the viscosity depends on the + horizontal velocity only. We therefore use the same loop with horizontal velocity and compute the + vertical velocity afterwards, using the incompressibility equations, schematic on the left. + } +\end{frame} %}}} + +\subsection{Ice flow equation} +\begin{frame} \frametitle{Flow equation}%{{{1 + {\tt setflowequation} is used to generate the approximation used to compute the velocity + + \begin{itemize} + \item Arguments: + \begin{enumerate} + \item model + \item approximation names + \item approximation domains + \end{enumerate} + \item Domains can be Argus files or array of element flags + \item Approximation available + \begin{itemize} + \item stokes (Full-Stokes model) + \item pattyn (Higher-order model) + \item macayeal (Shallow Shelf Approximation) + \item hutter (Shallow Ice Approximation) + \end{itemize} + \item Possibility of coupling models + \end{itemize} +\end{frame} +%}}} +\begin{frame} \frametitle{Flow equation}%{{{1 + {\tt setflowequation} is used to generate the approximation used to compute the velocity + + \begin{itemize} + \item Examples + \end{itemize} + + \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=15,lastline=18]{Code/ex1.m} + + \begin{itemize} + \item To diplay the type of approximation: + \end{itemize} + + \lstinputlisting[firstnumber=1,firstline=20,lastline=20]{Code/ex1.m} +\end{frame} +%}}} +\begin{frame} \frametitle{Flow equation}%{{{1 + \begin{itemize} + \item To diplay the type of approximation: + \end{itemize} + + \lstinputlisting[firstnumber=1,firstline=20,lastline=20]{Code/ex1.m} + + \begin{center} + \includegraphics[height=0.65\textheight]{macayealpattyn} + \end{center} +\end{frame} +%}}} +\begin{frame} \frametitle{Flow equation class}%{{{1 + \lstinputlisting[firstnumber=1,firstline=1,lastline=13,basicstyle=\lstbasicfont\tiny]{Code/ex1.m} +\end{frame} +%}}} +\subsection{Diagnostic parameters} +\begin{frame} \frametitle{Diagnostic class}%{{{1 + \lstinputlisting[firstnumber=1,firstline=22,lastline=53,basicstyle=\lstbasicfont\Tiny]{Code/ex1.m} +\end{frame} +%}}} +\subsection{Boundary conditions} +\begin{frame} \frametitle{Boundary conditions}%{{{1 + Boundary conditions created automatically or manually + \begin{itemize} + \item Automatically: + \lstinputlisting[firstnumber=1,firstline=55,lastline=57,basicstyle=\lstbasicfont\normalsize]{Code/ex1.m} + \item Manually: fields to change + \begin{itemize} + \item {\tt md.diagnostic.spcvx} + \item {\tt md.diagnostic.spcvy} + \item {\tt md.diagnostic.spcvz} + \item {\tt md.diagnostic.icefront} + \end{itemize} + \end{itemize} + + \begin{itemize} + \item To diplay the boundary conditions + \end{itemize} + + \lstinputlisting[firstnumber=1,firstline=59,lastline=59]{Code/ex1.m} +\end{frame} +%}}} + +\section{Combining models} +\subsection{Methods implemented in ISSM} +\begin{frame} \frametitle{Models description} %{{{ + + \emph{''Everything should be made as simple as possible, but no simpler.''} Albert Einstein + + \vspace{2em} + + \centering + \renewcommand\arraystretch{1.4} + \begin{tabular}{l c c c} + Model & Dim. & Unknowns & Reference\\ + \hline + Full-Stokes (FS) & 3d & 4 & \cite{Stokes1845}\\ + Blatter-Pattyn (BP) & 3d & 2 + 1 & \cite{Blatter1995,Pattyn2003}\\ + Shallow shelf (SSA) & 2d & 2 + 1 & \cite{MacAyeal1989}\\ + Shallow ice (SIA) & 2d & 2 + 1 & \cite{Hutter1983}\\ + \hline + \end{tabular} + + \vspace{2em} + \begin{center} + \renewcommand\arraystretch{1.4} + \begin{tabular}{c c c c} + \includegraphics[height=0.35\textheight]{Hutter} & + \includegraphics[height=0.35\textheight]{MacAyeal} & + \includegraphics[height=0.35\textheight]{Pattyn} & + \includegraphics[height=0.35\textheight]{Stokes} \\ + \end{tabular} + \end{center} + + \note{Everything should be made as simple as possible, but no simpler. + We remain with three ice flow models, two are 3D and one 2D, two decouple horizontal and + vertical velocities and one computes the four components of velocity and pressure simultaneously. + These three models are valid on different areas and we want to use the simplest possible model + according that the assumptions made are valid so we can have an accurate model than is + computationally manageable. The SSA is a 2D model with no variation of velocity in the vertical + direction, so it is valid for ice shelves than mainly stread and fast ice streams whose motion is + mainly due to sliding over the bedrock. It does not work in areas where the ice is frozen at the + bedrock as there is almost no sliding in these areas. In these regions we can use a HO model as + there is vertical variations of velocity. This model is valid for most areas except where + patterns are complicated such as grounding lines and rough bed areas. In these areas, we think + only stokes can be used. So instead of relying on only one or the other model, we can try a + different approach and combine them.} +\end{frame} %}}} +\subsection{Penalties} +\begin{frame} \frametitle{Penalty method} %{{{ + \begin{itemize} + \item Only to couple SSA and HO + \item Very stiff spring to penalize differences between degrees of freedom + \end{itemize} + \begin{center} + \begin{tabular}{c c} + \includegraphics[width=0.45\textwidth]{penalized_vel_3} & + \includegraphics[width=0.45\textwidth]{penalties1} + \end{tabular} + \end{center} + + \vspace{1em} + Using penalties to couple models: + \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=69,lastline=69]{Code/ex1.m} +\end{frame} %}}} +\subsection{Tiling method} +\begin{frame} \frametitle{Domain Decomposition} %{{{ + + \begin{itemize} + \item $\Omega=\Omb \cup \Omr$ + \item $\Omega_S=\Omb \cap \Omr \neq \varnothing $ + \item $ \VEC{u} = \rest{\VEC{u_1}}{\Omb}+ \rest{\VEC{u_2}}{\Omr} + \in \tilde{V} \left(\Omega\right) = \left( \Vb\left(\Omb\right) + \Vr \left(\Omr\right)\right)$ + \end{itemize} + + \begin{center} + \includegraphics[width=0.9\textwidth]{example11} + \vspace{-1em} + \end{center} + + \begin{equation*} + \text{Find } \VEC{u}=\rest{\VEC{u_1}}{\Omb}+ \rest{\VEC{u_2}}{\Omr} \in \tilde{V}, + \end{equation*} + \begin{equation*} + \forall \left(\VEC{v_1},\VEC{v_2}\right) \in \tilde{V} + \hspace{2em} + a\left(\VEC{u_1}+\VEC{u_2},\VEC{v_1}+\VEC{v_2}\right) = l \left(\VEC{v_1}+\VEC{v_2} \right) + \end{equation*} + + \begin{itemize} + \item[$\rightarrow$] Infinite number of solutions for the continuous problem + \end{itemize} + \note{ + Let suppose that $\Omega_1$ and $\Omega_2$ are two subdomains of the domain $\Omega$. These two + subdomains cover the entire domain $\Omega$. We impose that they overlap into a superposition zone + $\Omega_t$. The second domain can be strictly contained into the first one or contain part of the + corder of the global boundary. Any configuration is good as long as there is a transition zone + everywhere between the two models. $\Gamma_1$ and $\Gamma_2$ are the boundaries of the superposition + zone. THe solution u is now sum u1+u2 solutions corresponding to the + two subdomains. Similarly v=v1+v2. The problem is now a(u1+u2,v1+v2)=l(v1+v2). However, there is + a redundancy problem as there is no unique solution to this continuous problem. There is actually + an infinite number of solutions because of the superposition zone. Any couple u1+u2 is possible + as long as the sum remains the same. + } +\end{frame} %}}} +\begin{frame} \frametitle{Discretization} %{{{ + + \begin{center} + \includegraphics[height=0.3\textheight]{1d} + \end{center} + We take advantage of the discretization to avoid the redundancy: + \begin{itemize} + \item[$\rightarrow$] Create one layer of elements in the superposition zone + \end{itemize} + + \vspace{1em} + \begin{center} + \includegraphics[width=0.3\textwidth]{SquareTiling} + \end{center} + \note{ + To overcome this redundancy problem, we now take advantage of the discretization of the problem. + We limit the superposition zone to only one layer of elements. So the first domain is in blue, + the second one in red and they overlap into the yellow superposition zone that contains only one + layer of elements. Each grid is on the boundary $\Gamma_1$ or $\Gamma_2$ (no grids are strictly + inside the superposition zone). Additionnally, we impose homogeneous Dirichlet boundary + conditions to u1 and u2 on $\Gamma_1$ and $\Gamma_2$ respectively to have a continuous solution. With + these constraints, the solution is now unique for the discretized problem and the two + formulations are equivalent. + } +\end{frame} %}}} +\begin{frame} \frametitle{Multi-model formulation} %{{{ + Two different models: $a_1$, $a_2$ and $l_1$, $l_2$ + + \vspace{1em} + Find $\VEC{u}=\rest{\VEC{u_1}}{\Omb}+\rest{\VEC{u_2}}{\Omr} \in \left(\Vbt + \Vrt\right),$ + such that: + \begin{equation*} + \forall \VEC{v}=\rest{\VEC{v_1}}{\Omb}+\rest{\VEC{v_2}}{\Omr}\; \in \left(\Vbt + \Vrt\right) + \end{equation*} + \begin{multline*} + \underbrace{a_1\left(\rest{\VEC{u_1}}{\Omb},\rest{\VEC{v_1}}{\Omb}\right)}_{\color{blue}\text{model 1}} + + \underbrace{a_2\left(\rest{\VEC{u_2}}{\Omr},\rest{\VEC{v_2}}{\Omr}\right)}_{\color{red}\text{model 2}} +\\ + \underbrace{a_2\left(\rest{\VEC{u_1}}{\Omb},\rest{\VEC{v_2}}{\Omr}\right) + + a_1\left(\rest{\VEC{u_2}}{\Omr},\rest{\VEC{v_1}}{\Omb}\right)}_{\text{model coupling}}\\ + = \underbrace{l_1 \left(\rest{\VEC{v_1}}{\Omb}\right)}_{\color{blue}\text{model 1}} + + \underbrace{l_2 \left(\rest{\VEC{v_2}}{\Omr}\right)}_{\color{red}\text{model 2}} + \end{multline*} + + \begin{itemize} \setlength{\itemsep}{5pt} + \item Coupling different mechanical models + \item Easy to implement (local modification of stiffness matrices) + \end{itemize} + + \note{ + We can take advantage of this new formulation to introduce two different mechanical models on the + two subdomains.Here is the weak formulation of the problem. We are now working on a set V that is a union + of two spaces: V1 for the model 1 and V2 for the model 2.\\ + This gives the following weak formulation. We recognize the terms used for the mono-model a11, + l1, a22 and l2. We also have additional terms of coupling that combine the solution u1 with the + test functions v2 and vice versa. These terms exist only on the superposition zone where both + models are used. It is therefore easy to implement this method in an existing code, as the main + modification is to add the coupling terms in the stiffness matrix and only for the superposition + zone.} +\end{frame} %}}} +\subsection{Utilization} +\begin{frame} \frametitle{Flow equation}%{{{1 + {\tt setflowequation} is used to generate the approximation used to compute the velocity + + \begin{itemize} + \item Examples + \end{itemize} + + \lstinputlisting[basicstyle=\lstbasicfont\tiny,firstnumber=1,firstline=61,lastline=63]{Code/ex1.m} + + \begin{itemize} + \item Use {\tt exptool} to create EXP contours + \end{itemize} + + \lstinputlisting[firstnumber=1,firstline=65,lastline=65]{Code/ex1.m} +\end{frame} +%}}} +\begin{frame} \frametitle{Flow equation}%{{{1 + \begin{itemize} + \item To diplay the type of approximation: + \end{itemize} + + \lstinputlisting[firstnumber=1,firstline=67,lastline=67]{Code/ex1.m} + + \begin{center} + \includegraphics[height=0.65\textheight]{macayealpattyn2} + \end{center} +\end{frame} +%}}} + +\begin{frame}[allowframebreaks]{Bibliography}%{{{1 + \bibliographystyle{apalike} + \bibliography{references} + \end{frame}%}}} +%Thanks slide{{{ +\usebackgroundtemplate{\includegraphics[width=\paperwidth,height=\paperheight]{Thanksbg}} +\begin{frame}[plain] + \ghostframe + \begin{center} + \vspace*{-0.1\paperheight} + \hspace*{-0.15\paperwidth}\Huge{Thanks!} + \end{center} + \note{Thank you very much for your attention} +\end{frame} +\usebackgroundtemplate{} +%}}} +\end{document} Index: /issm/workshop/2012/Talks/07_Ice_flow_models/Code/SetIceShelfBC.m =================================================================== --- /issm/workshop/2012/Talks/07_Ice_flow_models/Code/SetIceShelfBC.m (revision 14029) +++ /issm/workshop/2012/Talks/07_Ice_flow_models/Code/SetIceShelfBC.m (revision 14029) @@ -0,0 +1,100 @@ +function md=SetIceShelfBC(md,varargin) +%SETICESHELFBC - Create the boundary conditions for diagnostic and thermal models for a Ice Shelf with Ice Front +% +% Neumann BC are used on the ice front (an ANRGUS contour around the ice front +% must be given in input) +% Dirichlet BC are used elsewhere for diagnostic +% +% Usage: +% md=SetIceShelfBC(md,varargin) +% +% Example: +% md=SetIceShelfBC(md); +% md=SetIceShelfBC(md,'Front.exp'); +% +% See also: SETICESHEETBC, SETMARINEICESHEETBC + +%node on Dirichlet (boundary and ~icefront) +if nargin==2, + icefrontfile=varargin{1}; + if ~exist(icefrontfile), error(['SetIceShelfBC error message: ice front file ' icefrontfile ' not found']); end + nodeinsideicefront=ContourToMesh(md.mesh.elements,md.mesh.x,md.mesh.y,icefrontfile,'node',2); + nodeonicefront=double(md.mesh.vertexonboundary & nodeinsideicefront); +elseif nargin==1, + nodeonicefront=zeros(md.mesh.numberofvertices,1); +else + help SetIceShelfBC + error('bad usage'); +end +pos=find(md.mesh.vertexonboundary & ~nodeonicefront); +md.diagnostic.spcvx=NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvy=NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvz=NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvx(pos)=0; +md.diagnostic.spcvy(pos)=0; +md.diagnostic.spcvz(pos)=0; +md.diagnostic.referential=NaN*ones(md.mesh.numberofvertices,6); + +%Dirichlet Values +if (length(md.inversion.vx_obs)==md.mesh.numberofvertices & length(md.inversion.vy_obs)==md.mesh.numberofvertices) + disp(' boundary conditions for diagnostic model: spc set as observed velocities'); + md.diagnostic.spcvx(pos)=md.inversion.vx_obs(pos); + md.diagnostic.spcvy(pos)=md.inversion.vy_obs(pos); +else + disp(' boundary conditions for diagnostic model: spc set as zero'); +end + +%segment on Ice Front +%segment on Neumann (Ice Front) +pos=find(nodeonicefront(md.mesh.segments(:,1)) | nodeonicefront(md.mesh.segments(:,2))); +if (md.mesh.dimension==2) + pressureload=md.mesh.segments(pos,:); +elseif md.mesh.dimension==3 + pressureload_layer1=[md.mesh.segments(pos,1:2) md.mesh.segments(pos,2)+md.mesh.numberofvertices2d md.mesh.segments(pos,1)+md.mesh.numberofvertices2d md.mesh.segments(pos,3)]; + pressureload=[]; + for i=1:md.mesh.numberoflayers-1, + pressureload=[pressureload ;pressureload_layer1(:,1:4)+(i-1)*md.mesh.numberofvertices2d pressureload_layer1(:,5)+(i-1)*md.mesh.numberofelements2d ]; + end +end + +%Add water or air enum depending on the element +pressureload=[pressureload 1*md.mask.elementonfloatingice(pressureload(:,end))]; + +%plug onto model +md.diagnostic.icefront=pressureload; + +%Create zeros basalforcings.melting_rate, surfaceforcings.ablation_rate, surfaceforcings.accumulation_rate +% and surfaceforcings.mass_balance if not specified +if isnan(md.surfaceforcings.accumulation_rate), + md.surfaceforcings.accumulation_rate=zeros(md.mesh.numberofvertices,1); + disp(' no surfaceforcings.accumulation_rate specified: values set as zero'); +end +if isnan(md.surfaceforcings.ablation_rate), + md.surfaceforcings.ablation_rate=zeros(md.mesh.numberofvertices,1); + disp(' no surfaceforcings.ablation_rate specified: values set as zero'); +end +if isnan(md.surfaceforcings.mass_balance), + md.surfaceforcings.mass_balance=zeros(md.mesh.numberofvertices,1); + disp(' no surfaceforcings.mass_balance specified: values set as zero'); +end +if isnan(md.basalforcings.melting_rate), + md.basalforcings.melting_rate=zeros(md.mesh.numberofvertices,1); + disp(' no basalforcings.melting_rate specified: values set as zero'); +end +if isnan(md.balancethickness.thickening_rate), + md.balancethickness.thickening_rate=zeros(md.mesh.numberofvertices,1); + disp(' no balancethickness.thickening_rate specified: values set as zero'); +end + +md.prognostic.spcthickness=NaN*ones(md.mesh.numberofvertices,1); +md.balancethickness.spcthickness=NaN*ones(md.mesh.numberofvertices,1); + +if (length(md.initialization.temperature)==md.mesh.numberofvertices), + md.thermal.spctemperature=NaN*ones(md.mesh.numberofvertices,1); + pos=find(md.mesh.vertexonsurface); md.thermal.spctemperature(pos)=md.initialization.temperature(pos); %impose observed temperature on surface + if (length(md.basalforcings.geothermalflux)~=md.mesh.numberofvertices), + md.basalforcings.geothermalflux=zeros(md.mesh.numberofvertices,1); + end +else + disp(' no thermal boundary conditions created: no observed temperature found'); +end Index: /issm/workshop/2012/Talks/07_Ice_flow_models/Code/ex1.m =================================================================== --- /issm/workshop/2012/Talks/07_Ice_flow_models/Code/ex1.m (revision 14029) +++ /issm/workshop/2012/Talks/07_Ice_flow_models/Code/ex1.m (revision 14029) @@ -0,0 +1,69 @@ +>> md.flowequation + +ans = + + flow equation parameters: + ismacayealpattyn : 0 -- is the macayeal or pattyn approximation used ? + ishutter : 0 -- is the shallow ice approximation used ? + isstokes : 0 -- are the Full-Stokes equations used ? + vertex_equation : N/A -- flow equation for each vertex + element_equation : N/A -- flow equation for each element + bordermacayeal : N/A -- vertices on MacAyeal's border (for tiling) + borderpattyn : N/A -- vertices on Pattyn's border (for tiling) + borderstokes : N/A -- vertices on Stokes' border (for tiling) + +md=setflowequation(md,'hutter','all') +md=setflowequation(md,'stokes','all') +md=setflowequation(md,'macayeal','all') +md=setflowequation(md,'pattyn','all') + +>> plotmodel(md,'data','elements_type') + +>> md.diagnostic + +ans = + + Diagnostic solution parameters: + + Convergence criteria: + restol : 0.0001 -- mechanical equilibrium residue convergence criterion + reltol : 0.01 -- velocity relative convergence criterion, NaN -> not applied + abstol : 10 -- velocity absolute convergence criterion, NaN -> not applied + maxiter : 100 -- maximum number of nonlinear iterations + viscosity_overshoot : 0 -- over-shooting constant new=new+C*(new-old) + + boundary conditions: + spcvx : N/A -- x-axis velocity constraint (NaN means no constraint) + spcvy : N/A -- y-axis velocity constraint (NaN means no constraint) + spcvz : N/A -- z-axis velocity constraint (NaN means no constraint) + icefront : N/A -- segments on ice front list (last column 0-> Air, 1-> Water, 2->Ice + + Rift options: + rift_penalty_threshold : 0 -- threshold for instability of mechanical constraints + rift_penalty_lock : 10 -- number of iterations before rift penalties are locked + + Penalty options: + penalty_factor : 3 -- offset used by penalties: penalty = Kmax*10^offset + vertex_pairing : N/A -- pairs of vertices that are penalized + + Other: + shelf_dampening : 0 -- use dampening for floating ice ? Only for Stokes model + stokesreconditioning : 10000000000000 -- multiplier for incompressibility equation. Only for Stokes model + referential : N/A -- local referential + requested_outputs : N/A -- additional outputs requested + +>> md=SetIceSheetBC(md) +>> md=SetIceShelfBC(md,'Front.exp') +>> md=SetMarineIceSheefBC(md,'Front.exp') + +>> plotmodel(md,'data','BC') + +md=setflowequation(md,'pattyn',md.elementongroundedice,'fill','macayeal','coupling','penalties') +md=setflowequation(md,'pattyn',md.elementongroundedice,'fill','macayeal','coupling','tiling') +md=setflowequation(md,'stokes','Contour.exp','fill','pattyn') + +>> exptool('Contour.exp') + +>> plotmodel(md,'data','elements_type','edgecolor','k','expdisp','Contour.exp') + +md=setflowequation(md,'macayeal','FloatingIce.exp','fill','pattyn','coupling','penalties') Index: /issm/workshop/2012/Talks/07_Ice_flow_models/Makefile =================================================================== --- /issm/workshop/2012/Talks/07_Ice_flow_models/Makefile (revision 14029) +++ /issm/workshop/2012/Talks/07_Ice_flow_models/Makefile (revision 14029) @@ -0,0 +1,37 @@ +#Makefile for beamer +TARGET=11_Ice_flow_models + +#export TEXINPUTS=$(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena//: + +all: one + +one: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +complete: + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + bibtex $(TARGET) + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +bib: + bibtex $(TARGET) + +links: + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/general/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/subtheme/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/ML/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/graphics/JPL/*.pdf . + ln -s $(ISSM_DIR)/publications/bibtex/references.bib + +unlinks: + find . -maxdepth 1 -type l -print | xargs rm + +open: + open -a /Applications/Adobe\ Reader\ 9/Adobe\ Reader.app/ $(TARGET).pdf + +clean: + rm -f ${TARGET}.{dvi,ps,pdf,toc,log,aux,out,nav,snm,bbl,blg,vrb} Index: /issm/workshop/2012/Talks/07_Ice_flow_models/mcode.sty =================================================================== --- /issm/workshop/2012/Talks/07_Ice_flow_models/mcode.sty (revision 14029) +++ /issm/workshop/2012/Talks/07_Ice_flow_models/mcode.sty (revision 14029) @@ -0,0 +1,280 @@ +%% +%% This is file `mcode.sty' +%% +%% It is supposed to help you easily include MATLAB source code +%% into LaTeX document, but have it nicely highlighted, using +%% the great listings package. +%% +%% PLEASE NOTE that this package does nothing but save you from +%% figuring out some configurations in setting up the LISTINGS +%% package. ALL the work is done by that package! Thus, please +%% refer your questions to the listings package documentation. +%% +%% Usage: You have three ways of including your MATLAB code. As +%% environment, as inline object and directly from an external +%% file. +%% +%% 1) Environment: +%% +%% \begin{lstlisting} +%% YOUR CODE HERE +%% \end{lstlisting} +%% +%% +%% 2) Inline object: +%% +%% Bla bla \mcode{CODEFRAGMENT} bla bla. +%% +%% +%% 3) Include external file (in environment form) +%% +%% \lstinputlisting{YOUR-FILE.m} +%% +%% +%% For your convenience this package has the following options: +%% +%% - bw if you intend to print the document (highlighting done +%% via text formatting (bold, italic) and shades of gray) +%% +%% - numbered if you want line numbers +%% +%% - autolinebreaks if you want the package to automatically +%% wrap your code. This is buggy as it may well break +%% break syntax and it doesn't work well with comments. +%% You REALLY should wrap your code manually. +%% +%% - useliterate if you want some characters / relations in +%% your code to be replace with something more readable. +%% Example: ~= becomes $\neq$, >= becomes $\geq$, delta +%% becomes $\delta$ and so on. +%% +%% - framed if you want a frame around the source code blocks +%% +%% - final if you have ``gloablly'' set the draft option, the +%% listings package will not output the code at all. to +%% force it to do so anyway, load this package with the +%% final option (passes the ``final'' on to listings). +%% +%% For example, you may use \usepackage[numbered,framed]{mcode} +%% in your document preamble. +%% +%% Note: Inside code blocks you can escape to LaTeX text mode +%% using §...§. For ex. §text and some math: $x^2$§, which is +%% especially useful in comments for putting nicely typeset +%% equations etc. To get the same colour/style as in the rest +%% of the comment use \mcommentfont, i.e. §\mcommentfont $x^2$§ +%% +%% To change the font used, edit the first line in the "custo- +%% mise below" section. And feel free to edit other things as +%% well. Refer to the documentation of the listings package to +%% see what else you could do. If an extra small font is re- +%% quired, use {\fontfamily{pcr}\fontsize{3}{4.6}\selectfont} +%% in the definition of \lstbasicfont. +%% +%% Author: +%% Florian Knorn | florian@knorn.org | www.florian-knorn.com +%% +%% Version history: +%% 2.2 -- Bugfix (thanks Willi Gerbig!) +%% 2.1 -- Finally automatic detection between end and end +%% 2.0 -- New options for line breaking and literate prog. +%% 1.8 -- Fixed typo in documentation regarding §...§ +%% 1.7 -- Added MATLAB block comment syntax %{ ...... %} +%% 1.6 -- Added some infos, dealing with keyword ``end'' +%% 1.5 -- Tweaked check to see wether textcomp is loaded +%% 1.4 -- Fixed misconfig (mathescape now set to false) +%% 1.3 -- Purely cosmetic (tabs replaced by spaces) +%% 1.2 -- Added \lstset{showstringspaces=false} +%% 1.1 -- Added \mcode command and [final] option +%% 1.0 -- Release + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% D O N ' T T O U C H T H I S % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\fileversion{2.2} +\def\filedate{2011/08/26} + +\typeout{-- Package: `mcode' \fileversion\space <\filedate> --} +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mcode}[\filedate\space\fileversion] + +% for bw-option +\newif\ifbw +\DeclareOption{bw}{\bwtrue} + +% numbered option +\newif\ifnumbered +\DeclareOption{numbered}{\numberedtrue} + +% final option +\newif\iffinal +\DeclareOption{final}{\finaltrue} + +% autolinebreaks option +\newif\ifautolinebreaks +\DeclareOption{autolinebreaks}{\autolinebreakstrue} + +% literate programming (replace certain characters/relations +\newif\ifuseliterate +\DeclareOption{useliterate}{\useliteratetrue} + +% framed option +\newif\ifframed +\DeclareOption{framed}{\framedtrue} + +\DeclareOption*{% default + \PackageWarning{mcode}{Unknown option `\CurrentOption' !}% +} +\ProcessOptions + +\ifbw\typeout{ - settings optimized for printing (bw formating)} +\else\typeout{ - settings optimized for display (colour formating)}\fi +\ifnumbered\typeout{ - line numbering enabled}\else\fi +\ifuseliterate\typeout{ - literate programming (character replacements) enabled}\else\fi +\ifautolinebreaks\typeout{ - automatic line breaking enabled (careful, buggy!)}\else\fi +\ifframed\typeout{ - framed listings}\else\fi + +% This command allows you to typeset syntax highlighted Matlab +% code ``inline''. The font size \small seems to look best... +\newcommand{\mcode}[1]{\lstinline[basicstyle=\lstbasicfont\small]|#1|} + +% check if color command exists +\ifx\color\undefined% + \RequirePackage{xcolor}% +\fi + +% check if listings has been loaded +\ifx\lstset\undefined% + \iffinal + \RequirePackage[final]{listings} + \else + \RequirePackage{listings} + \fi +\fi + +% Check if textcomp has been loaded (this package is needed for +% upright quotes '' (instead of typographic ones `´)... +\ifx\textquotesingle\undefined% + \RequirePackage{textcomp}% +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% C U S T O M I S E B E L O W % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% --------------------------------------------------------------------------------- +% default font +\def\lstbasicfont{\fontfamily{pcr}\selectfont\footnotesize} + +% --------------------------------------------------------------------------------- +% matlat languate definition +\lstdefinelanguage{matlabfloz}{% + alsoletter={...},% + morekeywords={% % keywords + break,case,catch,continue,elseif,else,end,for,function,global,% + if,otherwise,persistent,return,switch,try,while,...},% + comment=[l]\%, % comments + morecomment=[l]..., % comments + morecomment=[s]{\%\{}{\%\}}, % block comments + morestring=[m]' % strings +}[keywords,comments,strings]% + +% --------------------------------------------------------------------------------- +% general definitions +\lstset{% + basicstyle={\lstbasicfont}, % set font + showstringspaces=false, % do not emphasize spaces in strings + tabsize=3, % number of spaces of a TAB + mathescape=false,escapechar=§, % escape to latex with §...§ + upquote=true, % upright quotes + aboveskip={1.5\baselineskip}, % a bit of space above listings + columns=fixed % nice spacing +} + +% --------------------------------------------------------------------------------- +% define colours and styles +\ifbw % use font formating and gray 'colors' + \def\mcommentfont{\color[gray]{.75}\itshape} %comments light gray and italic + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\bfseries, % keywords in bold + commentstyle=\mcommentfont, % comments + stringstyle=\color[gray]{0.5} % strings darker gray + } +\else% notbw => use colors : ) + \def\mcommentfont{\color[rgb]{.133,.545,.133}} %comments in green + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\color[rgb]{0,0,1}, % keywords in blue + commentstyle=\mcommentfont, % comments + stringstyle=\color[rgb]{.627,.126,.941} % strings in purple + } +\fi%bw + +% --------------------------------------------------------------------------------- +% automatic line breaking --- warning, this is buggy and +% doesn't break comments correctly! +\ifautolinebreaks + \newsavebox{\lbreakdots}\sbox{\lbreakdots}{\lstbasicfont\mcommentfont...} + \lstset{breaklines=true,breakatwhitespace=true,prebreak=\usebox{\lbreakdots}} +\fi + +% --------------------------------------------------------------------------------- +% literate replacements +% the following is for replacing some matlab relations like >= or ~= +% by the corresponding LaTeX symbols, which are much easier to read ... +\ifuseliterate + \lstset{% + literate=% + {~}{{$\neg$}}1 % \neg + {<=}{{\tiny$\leq$}}1 % \leq + {>=}{{\tiny$\geq$}}1 % \geq + {~=}{{\tiny$\neq$}}1 % \neq + {delta}{{\tiny$\Delta$}}1 % \Delta + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\else + \lstset{% + literate=% + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\fi%literates + +% --------------------------------------------------------------------------------- +% line numbering +\ifnumbered% numbered option + \lstset{% + numbersep=3mm, numbers=left, numberstyle=\tiny, % number style + } +\fi + +\ifframed% framed option + \lstset{% + frame=single, % frame + } + \ifnumbered% + \lstset{% + framexleftmargin=6mm, xleftmargin=6mm % tweak margins + } + \fi +\fi + +\endinput +%% End of file `mcode.sty'. Index: /issm/workshop/2012/Talks/07_Ice_flow_models/todo =================================================================== --- /issm/workshop/2012/Talks/07_Ice_flow_models/todo (revision 14029) +++ /issm/workshop/2012/Talks/07_Ice_flow_models/todo (revision 14029) @@ -0,0 +1,24 @@ +Ice flow models + 2d: SSA + SIA + 3d: SIA + Higher-order + Full-Stokes + SSA collapsed + Coupling models (SSA, HO, FS) + md.flowequation + +Boundary conditions: + Routines SetIceSheetBC, ... + Manually md.diagnostic.spcvx, ... + +Parameters of diagnostic: md.diagnostic + +Thermal model (only 3d) + md.thermal + +Prognostic + md.prognostic + +Transient model + md.transient Index: /issm/workshop/2012/Talks/08_Inverse_methods/08_Inverse_methods.tex =================================================================== --- /issm/workshop/2012/Talks/08_Inverse_methods/08_Inverse_methods.tex (revision 14029) +++ /issm/workshop/2012/Talks/08_Inverse_methods/08_Inverse_methods.tex (revision 14029) @@ -0,0 +1,274 @@ +%Preamble {{{ +\documentclass[9pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[jpl,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{booktabs} %nice tables (toprule, bottomrule,...) +\graphicspath{ % directories where the pictures are located +{Graphics/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen + +\setbeamercovered{transparent} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{ +\newcommand*{\MAT}[1]{\ensuremath{\mathbf{#1}} } %Matrice name (Bold) +\newcommand*{\VEC}[1]{\ensuremath{\bm{#1}} } %Vector name (Bold Italic) +\newcommand*{\SET}[1]{\ensuremath{\mathcal{#1} }} %Set, Space (italic) +\newcommand*{\R}[0]{{\mathbb R}} %real set IR +\newcommand*{\N}[0]{{\mathbb N}} %natural set IN +\newcommand*{\Trace}[1]{\text{Tr}\left( #1\right)} %trace (Tr(A)) +\newcommand*{\abs}[1]{\left| #1\right|} %absolute value |x| +\newcommand*{\norm}[1]{\lVert#1\rVert} %norm ||x|| +\newcommand*{\grad}[1]{\nabla #1} +\newcommand*{\divergence}[1]{\nabla \cdot #1} +\newcommand*{\Divergence}[1]{\nabla \cdot #1} +\newcommand*{\eps}[0]{\dot{\bm \varepsilon}} %strain rate tensor +\newcommand*{\epseff}[0]{\ensuremath{\dot{\varepsilon}_{e} }} %effective strain rate +\newcommand*{\epscomp}[0]{\dot{\varepsilon}} %strain rate tensor component +\newcommand*{\stress}[0]{{\bm \sigma}} %stress tensor +\newcommand*{\devstress}[0]{\stress'} %deviatoric stress tensor +\newcommand*{\stresscomp}[0]{\ensuremath{\sigma}} %stress tensor component +\newcommand*{\vel}[0]{\VEC{v}} %velocity vector +\newcommand*{\velbar}[0]{\VEC{\bar{v} }} %velocity vector BAR +\newcommand*{\velobs}[0]{\ensuremath{\VEC{v}^{\text{obs}} }}%velocity obs +\newcommand*{\ubar}[0]{\ensuremath{\overline{v}_x}} %velocity vector BAR +\newcommand*{\vbar}[0]{\ensuremath{\overline{v}_y}} %velocity vector BAR +\newcommand*{\vx}[0]{\ensuremath{v_x}} %vx +\newcommand*{\vy}[0]{\ensuremath{v_y}} %vy +\newcommand*{\vz}[0]{\ensuremath{v_z}} %vz +\newcommand*{\vxobs}[0]{\ensuremath{v_x^{\text{obs}} }}%vx obs +\newcommand*{\vyobs}[0]{\ensuremath{v_y^{\text{obs}} }}%vy +\newcommand*{\pressure}[0]{p} %pressure +\newcommand*{\nx}[0]{\ensuremath{n_x}} %nx +\newcommand*{\ny}[0]{\ensuremath{n_y}} %ny +\newcommand*{\nz}[0]{\ensuremath{n_z}} %nz +\newcommand*{\Lagrangian}[0]{\ensuremath{\mathcal{L} }} +\newcommand*{\Cost}[0]{\ensuremath{\mathcal{J} }} +\newcommand*{\Ms}[0]{\ensuremath{\dot{M}_s}} +\newcommand*{\Mb}[0]{\ensuremath{\dot{M}_b}} +\newcommand*{\inner}[2]{\ensuremath{\langle #1 , #2 \rangle}} %inner product <.,.> +\newcommand*{\BigO}[1]{\mathcal{O}\left( #1\right) } %Big O landau notation + +%%Automatically insert outline slide at the begining of each new section (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{ +%between brackets []: shown on headers and footers of every slide (must be short) +%between parenthesis (): shown on title page only (long) +\title[Inverse Methods]{Ice Sheet System model} +\subtitle{Inverse Methods} +\author[M. Morlighem]{ +Eric \textsc{Larour}\inst{1}, +Eric \textsc{Rignot}\inst{1,3}, +\textbf{Mathieu \textsc{Morlighem}}\inst{1,2}, +H\'el\`ene \textsc{Seroussi}\inst{1,2} +Chris \textsc{Borstad}\inst{1}, +Feras \textsc{Habbal}\inst{1,3}, +Daria \textsc{Halkides}\inst{1,4}, +Behnaz \textsc{Khakbaz}\inst{1}, +John \textsc{Schiermeier}\inst{1}, +Nicole \textsc{Schlegel}\inst{1} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}Laboratoire MSSMat, \'Ecole Centrale Paris, France\\ +\inst{3}University of California, Irvine\\ +\inst{4}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2012]{ISSM Workshop 2012} +\date[]{\hspace{-15em}December 2012\hspace{3em}\copyright Copyright 2012. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} +\begin{document} + +%Title slide %{{{ +\begin{frame}[plain] %No headers or footers + %Do not change, this page is automatically generated + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Outline}%{{{ + \tableofcontents +\end{frame}%}}} +\section{Introduction} +\subsection{Model equations} +\begin{frame} \frametitle{Ice flow model equations}%{{{ + \vspace{-10pt} + \uncover<+->{\begin{block}{Field equations} + \begin{enumerate} + \item Stokes flow: + \begin{equation} + \nabla \cdot \stress + \rho \VEC{g} = \VEC{0} + \end{equation} + \item Incompressibility: + \begin{equation} + \divergence{\vel}=0 + \end{equation} + \item Constitutive law: + \begin{equation} + \devstress + = \stress + \pressure\;\MAT{I} + = 2\mu\eps + \hspace{3em} + \mu = \dfrac{\only<3>{\color{red}}B}{2 \; \epseff^{1-1/n}} + \end{equation} + \end{enumerate} + \end{block}} + \uncover<+->{\begin{block}{Boundary conditions} + \renewcommand\arraystretch{1.7} + \begin{tabular}[b]{lll} + Ice/Air interface: Free surface & + $\stress \cdot\VEC{n}=P_{atm}\;\VEC{n}\simeq\VEC{0}$ & + on $\Gamma_s$ \\ + Ice/Ocean interface: water pressure & + $\stress \cdot\VEC{n}=P_w\;\VEC{n}$ & + on $\Gamma_w$ \\ + Ice/Bedrock interface (1): lateral friction & + $ \left(\stress \cdot\VEC{n} + {\only<3->{\color{red}}\alpha}^2\vel\right)_{\parallel} = \VEC{0}$ & + on $\Gamma_b$ \\ + Ice/Bedrock interface (2): impenetrability & + $\vel\cdot\VEC{n}=-\Mb\,\nz$ & + on $\Gamma_b$ \\ + + Dirichlet condition + \end{tabular} + \end{block}} + \note{Ice follows a Stokes flow: we neglect the acceleration. We also neglect the Coriolis + effects. + Ice is also an incompressible fluid so the divergence of the velocity is zero. + Ice being an incompressible fluid, it's consitutive law inly involves the deviatoric stress, and + ice is modeled as a viscous fluid so the deviatoric stress is proportional to the deviatoric + stress. The viscosity follows Glen's law, which is non linear because it depends on the effective + strain rate. + For the boundary conditions, the upper surface is considered stress free, air pressure being + negligible, water pressure is applied at the ice/ocean interface. Under grounded ice, it is a + combination of Dirichlet and Neuman conditions: there is lateral friction along the plane + tangential to the interface, and an impenetrability condition along the normal. (CLICK) + Now some parameters of these equations are not well understood and must be inferred from + observation. It is the case of the friction coefficient $\alpha$ in red here. To infer the + friction under the ice, we use an inversion method.} +\end{frame} %}}} +\subsection{Inverse problem} +\begin{frame} \frametitle{Inverse problems}%{{{ + \begin{itemize} + \item Basal friction and ice hardness are difficult to measure + \item Use extra datasets to infer unknows + \item[$\rightarrow$] ex: surface velocities derived from InSAR + \end{itemize} + \uncover<2->{\begin{block}{PDE-constrained optimization} + Minimize cost function + \begin{equation} + {\mathcal J}\left(\vel,\alpha\right) + = \frac{1}{2} \int_{\Gamma_s} \left(\vx-\vxobs\right)^2 + \left(\vy-\vyobs\right)^2 dS + + {\mathcal R}\left(\alpha\right) + \end{equation} + Subject to: + \renewcommand\arraystretch{1.5} + \begin{equation} + \begin{array}{rcll} + \nabla \cdot \mu\left(\grad{\vel}+\grad{\vel}^T\right)-\grad{\pressure}+ \rho \VEC{g} & = & \VEC{0} & \text{ in $\Omega$}\\ + \divergence{\vel} & = & 0 & \text{ in $\Omega$}\\ + \stress\cdot\VEC{n} & = & \VEC{f} & \text{ on $\Gamma_s\cup\Gamma_w$}\\ + \left(\stress \cdot\VEC{n} + \alpha^2\vel\right)_{\parallel} & = &\VEC{0} & \text{ on $\Gamma_b$} \\ + \vel\cdot\VEC{n} & = & -\Mb\,\nz & \text{ on $\Gamma_b$} + \end{array} + \end{equation} + \end{block}} + \note{We rely on surface velocities to infer those parameter using inverse methods. The + optimization problem is defined as follows:\\ + We seek for a minimum of a cost function J that is defined as the difference between the modeled + and the observed surface velocity, plus a regularizing term usualy Tikhonov, under the constraint + that the modeled velocity must obey the stress-balance equations.} +\end{frame} %}}} +\subsection{Algorithm} +\begin{frame} \frametitle{Algorithm of resolution}%{{{ + \begin{center} + \includegraphics[width=\textwidth]{algo_cm0.pdf} + \end{center} +\end{frame} %}}} + +\section{Hands on 1 (ice rigidity)} +\begin{frame} \frametitle{Hands on 1 (ice rigidity)}%{{{ + \lstinputlisting[firstnumber=3,firstline=3,lastline=10,basicstyle=\lstbasicfont\scriptsize]{Code/runme.m} + \vspace{-1.5em} + \lstinputlisting[firstnumber=25,firstline=25,lastline=29,basicstyle=\lstbasicfont\scriptsize]{Code/Square.par} + \vspace{-1em} + \begin{center} + \includegraphics[width=.4\textwidth]{TrueB} + \hspace{1em} + \includegraphics[width=.4\textwidth]{VelObs} + \end{center} +\end{frame} %}}} +\subsection{Initial state} +\begin{frame} \frametitle{Start from constant hardness}%{{{ + \lstinputlisting[firstnumber=16,firstline=16,lastline=25]{Code/runme.m} + \begin{center} + \includegraphics[width=.4\textwidth]{BInit} + \hspace{1em} + \includegraphics[width=.4\textwidth]{VelInit} + \end{center} +\end{frame} %}}} +\subsection{Inversion} +\begin{frame} \frametitle{Inverse method}%{{{ + \lstinputlisting[firstnumber=31,firstline=31,lastline=48,tabsize=1,basicstyle=\lstbasicfont\scriptsize]{Code/runme.m} +\end{frame} %}}} +\begin{frame} \frametitle{Inverse method}%{{{ + \begin{center} + \includegraphics[width=.45\textwidth]{BFinal} + \includegraphics[width=.45\textwidth]{VelFinal} + \end{center} +\end{frame} %}}} + +\section{Hands on 2 (friction)} +\begin{frame} \frametitle{Hands on 2 (friction)}%{{{ + \begin{itemize}\itemsep=+1em + \item Same example but now for a grounded glacier: + \item Changes step 1: + \begin{enumerate}\itemsep=+.5em + \item increase bed and surface elevation by 100 m + \item mask is now all grounded + \item $B=1.8\times10^8$ uniform + \item friction coefficient: 50, and 10 for $600000= becomes $\geq$, delta +%% becomes $\delta$ and so on. +%% +%% - framed if you want a frame around the source code blocks +%% +%% - final if you have ``gloablly'' set the draft option, the +%% listings package will not output the code at all. to +%% force it to do so anyway, load this package with the +%% final option (passes the ``final'' on to listings). +%% +%% For example, you may use \usepackage[numbered,framed]{mcode} +%% in your document preamble. +%% +%% Note: Inside code blocks you can escape to LaTeX text mode +%% using §...§. For ex. §text and some math: $x^2$§, which is +%% especially useful in comments for putting nicely typeset +%% equations etc. To get the same colour/style as in the rest +%% of the comment use \mcommentfont, i.e. §\mcommentfont $x^2$§ +%% +%% To change the font used, edit the first line in the "custo- +%% mise below" section. And feel free to edit other things as +%% well. Refer to the documentation of the listings package to +%% see what else you could do. If an extra small font is re- +%% quired, use {\fontfamily{pcr}\fontsize{3}{4.6}\selectfont} +%% in the definition of \lstbasicfont. +%% +%% Author: +%% Florian Knorn | florian@knorn.org | www.florian-knorn.com +%% +%% Version history: +%% 2.2 -- Bugfix (thanks Willi Gerbig!) +%% 2.1 -- Finally automatic detection between end and end +%% 2.0 -- New options for line breaking and literate prog. +%% 1.8 -- Fixed typo in documentation regarding §...§ +%% 1.7 -- Added MATLAB block comment syntax %{ ...... %} +%% 1.6 -- Added some infos, dealing with keyword ``end'' +%% 1.5 -- Tweaked check to see wether textcomp is loaded +%% 1.4 -- Fixed misconfig (mathescape now set to false) +%% 1.3 -- Purely cosmetic (tabs replaced by spaces) +%% 1.2 -- Added \lstset{showstringspaces=false} +%% 1.1 -- Added \mcode command and [final] option +%% 1.0 -- Release + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% D O N ' T T O U C H T H I S % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\fileversion{2.2} +\def\filedate{2011/08/26} + +\typeout{-- Package: `mcode' \fileversion\space <\filedate> --} +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mcode}[\filedate\space\fileversion] + +% for bw-option +\newif\ifbw +\DeclareOption{bw}{\bwtrue} + +% numbered option +\newif\ifnumbered +\DeclareOption{numbered}{\numberedtrue} + +% final option +\newif\iffinal +\DeclareOption{final}{\finaltrue} + +% autolinebreaks option +\newif\ifautolinebreaks +\DeclareOption{autolinebreaks}{\autolinebreakstrue} + +% literate programming (replace certain characters/relations +\newif\ifuseliterate +\DeclareOption{useliterate}{\useliteratetrue} + +% framed option +\newif\ifframed +\DeclareOption{framed}{\framedtrue} + +\DeclareOption*{% default + \PackageWarning{mcode}{Unknown option `\CurrentOption' !}% +} +\ProcessOptions + +\ifbw\typeout{ - settings optimized for printing (bw formating)} +\else\typeout{ - settings optimized for display (colour formating)}\fi +\ifnumbered\typeout{ - line numbering enabled}\else\fi +\ifuseliterate\typeout{ - literate programming (character replacements) enabled}\else\fi +\ifautolinebreaks\typeout{ - automatic line breaking enabled (careful, buggy!)}\else\fi +\ifframed\typeout{ - framed listings}\else\fi + +% This command allows you to typeset syntax highlighted Matlab +% code ``inline''. The font size \small seems to look best... +\newcommand{\mcode}[1]{\lstinline[basicstyle=\lstbasicfont\small]|#1|} + +% check if color command exists +\ifx\color\undefined% + \RequirePackage{xcolor}% +\fi + +% check if listings has been loaded +\ifx\lstset\undefined% + \iffinal + \RequirePackage[final]{listings} + \else + \RequirePackage{listings} + \fi +\fi + +% Check if textcomp has been loaded (this package is needed for +% upright quotes '' (instead of typographic ones `´)... +\ifx\textquotesingle\undefined% + \RequirePackage{textcomp}% +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% C U S T O M I S E B E L O W % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% --------------------------------------------------------------------------------- +% default font +\def\lstbasicfont{\fontfamily{pcr}\selectfont\footnotesize} + +% --------------------------------------------------------------------------------- +% matlat languate definition +\lstdefinelanguage{matlabfloz}{% + alsoletter={...},% + morekeywords={% % keywords + break,case,catch,continue,elseif,else,end,for,function,global,% + if,otherwise,persistent,return,switch,try,while,...},% + comment=[l]\%, % comments + morecomment=[l]..., % comments + morecomment=[s]{\%\{}{\%\}}, % block comments + morestring=[m]' % strings +}[keywords,comments,strings]% + +% --------------------------------------------------------------------------------- +% general definitions +\lstset{% + basicstyle={\lstbasicfont}, % set font + showstringspaces=false, % do not emphasize spaces in strings + tabsize=3, % number of spaces of a TAB + mathescape=false,escapechar=§, % escape to latex with §...§ + upquote=true, % upright quotes + aboveskip={1.5\baselineskip}, % a bit of space above listings + columns=fixed % nice spacing +} + +% --------------------------------------------------------------------------------- +% define colours and styles +\ifbw % use font formating and gray 'colors' + \def\mcommentfont{\color[gray]{.75}\itshape} %comments light gray and italic + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\bfseries, % keywords in bold + commentstyle=\mcommentfont, % comments + stringstyle=\color[gray]{0.5} % strings darker gray + } +\else% notbw => use colors : ) + \def\mcommentfont{\color[rgb]{.133,.545,.133}} %comments in green + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\color[rgb]{0,0,1}, % keywords in blue + commentstyle=\mcommentfont, % comments + stringstyle=\color[rgb]{.627,.126,.941} % strings in purple + } +\fi%bw + +% --------------------------------------------------------------------------------- +% automatic line breaking --- warning, this is buggy and +% doesn't break comments correctly! +\ifautolinebreaks + \newsavebox{\lbreakdots}\sbox{\lbreakdots}{\lstbasicfont\mcommentfont...} + \lstset{breaklines=true,breakatwhitespace=true,prebreak=\usebox{\lbreakdots}} +\fi + +% --------------------------------------------------------------------------------- +% literate replacements +% the following is for replacing some matlab relations like >= or ~= +% by the corresponding LaTeX symbols, which are much easier to read ... +\ifuseliterate + \lstset{% + literate=% + {~}{{$\neg$}}1 % \neg + {<=}{{\tiny$\leq$}}1 % \leq + {>=}{{\tiny$\geq$}}1 % \geq + {~=}{{\tiny$\neq$}}1 % \neq + {delta}{{\tiny$\Delta$}}1 % \Delta + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\else + \lstset{% + literate=% + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\fi%literates + +% --------------------------------------------------------------------------------- +% line numbering +\ifnumbered% numbered option + \lstset{% + numbersep=3mm, numbers=left, numberstyle=\tiny, % number style + } +\fi + +\ifframed% framed option + \lstset{% + frame=single, % frame + } + \ifnumbered% + \lstset{% + framexleftmargin=6mm, xleftmargin=6mm % tweak margins + } + \fi +\fi + +\endinput +%% End of file `mcode.sty'. Index: /issm/workshop/2012/Talks/09_PIG_Application/09_PIG_Application.tex =================================================================== --- /issm/workshop/2012/Talks/09_PIG_Application/09_PIG_Application.tex (revision 14029) +++ /issm/workshop/2012/Talks/09_PIG_Application/09_PIG_Application.tex (revision 14029) @@ -0,0 +1,324 @@ +%Preamble {{{1 +\documentclass[9pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[jpl,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{booktabs} %nice tables (toprule, bottomrule,...) +\graphicspath{ % directories where the pictures are located +{Images/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen + +\setbeamercovered{transparent} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{1 +%%Automatically insert outline slide at the begining of each new section (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{1 +%between brackets []: shown on headers and footers of every slide (must be short) +%between parenthesis (): shown on title page only (long) +\title[Application SeaRISE]{Ice Sheet System model} +\subtitle{Application to SeaRISE dataset, Greenland Ice Sheet} +\author[Larour et al.]{ +Eric \textsc{Larour}\inst{1}, +Eric \textsc{Rignot}\inst{1,2}, +Mathieu \textsc{Morlighem}\inst{2}, +H\'el\`ene \textsc{Seroussi}\inst{1} +\textbf{Nicole \textsc{Schlegel}}\inst{1}, +Chris \textsc{Borstad}\inst{1}, +Feras \textsc{Habbal}\inst{1,2}, +Daria \textsc{Halkides}\inst{1,3}, +Gilberto \textsc{Perez}\inst{1}, +John \textsc{Schiermeier}\inst{1}, +Michiel \textsc{Helsen}\inst{2} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}University of California, Irvine\\ +\inst{3}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2012]{ISSM Workshop 2012} +\date[]{\hspace{-15em}December 2012\hspace{3em}\copyright Copyright 2012. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} + +\begin{document} + +%Title slide %{{{1 +\begin{frame}[plain] %No headers or footers + %Do not change, this page is automatically generated + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Overview}%{{{1 + \tableofcontents +\end{frame}%}}} + +\section{Introduction} + +\begin{frame}{Goals}%{{{1 + + Use your new ISSM skills to run a very coarse Greenland + model. Initialize your domain with a given exp file and parameterize it with the + SeaRISE netcdf dataset. + \vspace{1em} + + Steps: + \small{ + \begin{itemize} + \item Mesh Greenland with given exp + \item Adapt mesh using SeaRISE velocities and thickness data + \item Parameterize (as the Jks model), but specify velocity of at least one point to ensure non-sigularity. + \item Diagnostic: run inverse method to control drag (50 steps recommended) + \item Transient: 20 year run + \begin{itemize} + \item Use an appropriate time step for your resolution + \item Force SeaRISE surface mass balance for 10 years + \item For the next 10 years, simulate a warming scenario: decrease the surface mass balance linearly, reaching a decrease of 1.0 m/y by year 20 + \end{itemize} + \item Plot transient results + \end{itemize} + } + \vspace{2em} + +\end{frame}%}}} + +\section{Mesh} + +\begin{frame}{First Run Step: Mesh}%{{{1 + + The domain file \alert{DomainOutline.exp} resides in directory \alert{Exp\_Par}. First we mesh using the bamg method as follows: + + \lstinputlisting[firstnumber=11,firstline=11,lastline=20,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + + This creates a new model named \alert{md} and meshes the model domain at a resolution of 80000 m. + + +\end{frame} + +\begin{frame}{Mesh, 2/3}{Adapt} + + Next, adapt your mesh to SeaRISE velocities and thickness. The data resides in: + + \lstinputlisting[firstnumber=5,firstline=5,lastline=5,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + Adapt: + \small { + \begin{itemize} + + \item Fill \alert{md.inversion.vx\_obs}, \alert{md.inversion.vy\_obs}, and \alert{md.inversion.vel\_obs} with interpolated velocities + \item Fill \alert{md.geometry.thickness} with interpolated thickness + \item Mesh adapt your model (bamg) + \begin{itemize} + \item Use the fields \alert{md.inversion.vel\_obs} and \alert{md.geometry.thickness} + \item Set hmax=400000m and hmin=80000m + \end {itemize} + + \item Set model lat/long using SeaRISE projection information (see + projection information in \alert{Greenland\_5km\_dev1.2.nc} - Hint: in matlab you can use ndisp) + \item Save your model to a file + \end {itemize} + } + +\end{frame} + +\begin{frame}{Mesh, 3/3}{Check Your Work} + \vspace{1em} + Solution: + \lstinputlisting[firstnumber=39,firstline=39,lastline=45,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + Plot your mesh. It should look like: + + \center{ + \includegraphics[width=0.4\textwidth]{Mesh} + } + +\end{frame}%}}} + +\begin{frame}{Mesh}{ Full Solution}%{{{1 + + \lstinputlisting[firstnumber=22,firstline=22,lastline=45,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + +\end{frame}%}}} + +\section{Parameterization} + +\begin{frame}{Parameterization}%{{{1 + + Call the \alert{setmask} function with empty arguments and then parameterize your mesh with file \alert{Exp\_Par/Greenland.par}. + + \vspace{1em} + Read though the parameter file \alert{Exp\_Par/Greenland.par}, similar to your Jks par file. + \vspace{1em} + + NB: No function is called to define boundary conditions. Instead, set \alert{spc} velocities + explicitly to zero, ensuring non-singularity. + + \lstinputlisting[firstnumber=95,firstline=95,lastline=103,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{Exp_Par/Greenland.par} + +\end{frame}%}}} +\begin{frame}{Parameterization}{Solution}%{{{1 + \lstinputlisting[firstnumber=52,firstline=52,lastline=56,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + Plot thickness and velocity. + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/plotparam.m} + \vspace{1em} + They should look like: + + \center{ + \includegraphics[width=0.4\textwidth]{Init_thickness}\includegraphics[width=0.4\textwidth]{Init_vel} + } +\end{frame}%}}} + +\section{Control Method Solution} + +\begin{frame}\frametitle{Diagnostic}%{{{1 + \vspace{1em} + Use control methods to inversely solve for Greenland \alert{FrictionCoefficient} + \vspace{1em} + + Steps: + \begin{itemize} + + \item Set \alert{cost functions} + \begin{itemize} + \item log of surface velocity + \item drag coefficient gradient + \end{itemize} + \item Set \alert{cost functions coefficient} to 8*10\textsuperscript{-15} + \item Specify \alert{max inversion parameter} = 200, \alert{min inversion parameter} = 1 + \item Solve a 50-step Diagnostic in 2D, Macayeal + \item Copy result \alert{Vx}, \alert{Vy}, and \alert{Friction Coefficient} to model values + \item Save your model + \end{itemize} + \vspace{1em} + Startoff Code: + \lstinputlisting[firstnumber=62,firstline=62,lastline=69,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + NB: Remember that \alert{md.inversion} can be called for help! + +\end{frame}%}}} + +\begin{frame}{Diagnostic}{Solution}%{{{1 + \lstinputlisting[firstnumber=71,firstline=71,lastline=91,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + +\end{frame}%}}} + +\section{Transient Solution} + +\begin{frame}{Transient}{Forcing}%{{{1 + + You are ready to run a transient! + + \vspace{1em} + Simulate Greenland warming by forcing a temporal decrease in \alert{md.surfaceforcings.mass\_balance}: + + \includegraphics[width=0.9\textwidth]{Forcing_smb} + + \vspace{1em} + + Specify a transient forcing by adding a time value to the end (in the \alert{end+1} position) of the column of forcing variable values. For example, let \alert{smb} be the initial values of surface mass balance. To impose the forcing above: + + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/smb.m} + + \small{ + NB: Prior to first and after last imposed time, forcing values remain constant. Between imposed times, forcings are linearly interpolated. + } +\end{frame}%}}} + +\begin{frame}{Transient}{Solve}%{{{1 + Set up your transient + + \vspace{1em} + Steps: + \begin{itemize} + \item Set zero \alert{basal melting rate} + \item Interpolate surface mass balance from SeaRISE dataset + \item Impose SeaRise surface mass balance for 10 years then linearly decrease to 1 m/yr by year 20 + \item Set \alert{time step} to 0.2 and \alert{output frequency} to 1 + \item Solve a 20 year Transient in 2D, Macayeal + \item Save your model + \end{itemize} + \vspace{1em} + NB: Save the \alert{IceVolume} in your transient results for plotting later: + \lstinputlisting[firstnumber=118,firstline=118,lastline=118,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} +\end{frame}%}}} + +\begin{frame}{Transient}{Solution Setup}%{{{1 + \lstinputlisting[firstnumber=98,firstline=98,lastline=126,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + +\end{frame}%}}} + + +\section{Plot Results} + +\begin{frame}{Transient Results}{Plot Plan}%{{{1 + + \vspace{1em} + + Your results are located in \alert{md.results.TransientSolution}. Plot your results. + + \vspace{1em} + First, plot the initial plan view of velocity, surface mass balance, thickness, and surface in one row of three subplots. + + \vspace{1em} + They should look like: + + \center{ + \includegraphics[width=1.0\textwidth]{Transient_plan} + } +\end{frame} +%}}} +\begin{frame}{Plot}{Solution}%{{{1 + \lstinputlisting[firstnumber=134,firstline=134,lastline=142,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + + Next, plot a timeseries of mean surface mass balance, mean velocity, and ice volume. Hint to plot mean surface mass balance results: + + \lstinputlisting[firstnumber=145,firstline=145,lastline=150,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} +\end{frame} +\begin{frame} + + \vspace{1em} + Your results should look like: + + \center{ + \includegraphics[width=0.9\textwidth]{Transient_line} + } +\end{frame} +%}}} + + +%Thanks slide{{{ +\usebackgroundtemplate{\includegraphics[width=\paperwidth,height=\paperheight]{Thanksbg}} +\begin{frame}[plain] + \ghostframe + \begin{center} + \vspace*{-0.1\paperheight} + \hspace*{-0.15\paperwidth}\Huge{Thanks!} + \end{center} + \note{Thank you very much for your attention} +\end{frame} +\usebackgroundtemplate{} +%}}} +\end{document} Index: /issm/workshop/2012/Talks/09_PIG_Application/Code/ex1.m =================================================================== --- /issm/workshop/2012/Talks/09_PIG_Application/Code/ex1.m (revision 14029) +++ /issm/workshop/2012/Talks/09_PIG_Application/Code/ex1.m (revision 14029) @@ -0,0 +1,3 @@ +md=model; +md=triangle(md,'Square.exp',50000); +plotmodel(md,'data','mesh'); Index: /issm/workshop/2012/Talks/09_PIG_Application/Code/plotparam.m =================================================================== --- /issm/workshop/2012/Talks/09_PIG_Application/Code/plotparam.m (revision 14029) +++ /issm/workshop/2012/Talks/09_PIG_Application/Code/plotparam.m (revision 14029) @@ -0,0 +1,2 @@ +>> plotmodel(md,'data',md.initializtion,thickness); +>> plotmodel(md,'data',md.initialization.vel_obs,'caxis',[1e-1 1e4],'log',10); Index: /issm/workshop/2012/Talks/09_PIG_Application/Code/smb.m =================================================================== --- /issm/workshop/2012/Talks/09_PIG_Application/Code/smb.m (revision 14029) +++ /issm/workshop/2012/Talks/09_PIG_Application/Code/smb.m (revision 14029) @@ -0,0 +1,2 @@ +>> md.surfaceforcings.mass_balance = [ smb smb-1]; +>> md.surfaceforcings.mass_balance = [ md.surfaceforcings.mass_balance; [10 20]]; Index: 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+-1478343.80656 60338.818803 +-1513291.731079 4210.33397000001 +-1523175.992559 11976.539419 +-1503760.478937 36334.18378 +-1528509.56197759 63667.6809196406 +-1623055.49187657 62841.1506965373 +-1648011.301285 32874.517873 +-1638219.390929 20634.629928 +-1650153.281676 31038.534681 +-1725734.589736 -61372.619303 +-1719614.645763 -69022.549269 +-1759088.284386 -114004.137466 +-1755416.318002 -117064.109453 +-1761230.264776 -126856.019808 +-1758170.29279 -130527.986192 +-1762148.256372 -135423.94137 +-1764902.231159 -131445.977788 +-1769798.186337 -134199.952575 +-1775000.138714 -131445.977788 +-1794277.962227 -153477.776089 +-1712576.710195 -225081.120566 +-1729939.58914591 -335652.456760472 +-1712113.01792813 -349656.020505649 Index: /issm/workshop/2012/Talks/09_PIG_Application/Exp_Par/Pig.par =================================================================== --- /issm/workshop/2012/Talks/09_PIG_Application/Exp_Par/Pig.par (revision 14029) +++ /issm/workshop/2012/Talks/09_PIG_Application/Exp_Par/Pig.par (revision 14029) @@ -0,0 +1,92 @@ +%Name and hemisphere +md.miscellaneous.name='PIG'; +md.mesh.hemisphere='s'; + +disp(' Loading SeaRISE data from NetCDF'); +ncdata='Data/Antarctica_5km_withshelves_v0.75.nc'; +x1 = ncread(ncdata,'x1'); +y1 = ncread(ncdata,'y1'); +usrf = ncread(ncdata,'usrf')'; +topg = ncread(ncdata,'topg')'; +temp = ncread(ncdata,'presartm')'; +smb = ncread(ncdata,'presprcp')'; +gflux = ncread(ncdata,'bheatflx_fox')'; + +disp(' Loading velocities data from NetCDF'); +nsidc_vel='Data/Antarctica_ice_velocity.nc'; + +xmin = ncreadatt(nsidc_vel,'/','xmin'); +xmin = strtrim(xmin); %this is a string, and we need to recover the double value +xmin = xmin(1:end-2); %get rid of the unit +xmin = str2num(xmin); %convert to double +ymax = ncreadatt(nsidc_vel,'/','ymax'); ymax = strtrim(ymax); ymax = ymax(1:end-2); ymax = str2num(ymax); +nx = ncreadatt(nsidc_vel,'/','nx'); +ny = ncreadatt(nsidc_vel,'/','ny'); +spacing = ncreadatt(nsidc_vel,'/','spacing'); spacing = strtrim(spacing); spacing = spacing(1:end-2); spacing = str2num(spacing); +velx = double(ncread(nsidc_vel,'vx')); +vely = double(ncread(nsidc_vel,'vy')); +x2=xmin+(0:1:nx)'*spacing; x2=double(x2); +y2=(ymax-ny*spacing)+(0:1:ny)'*spacing; y2=double(y2); + +disp(' Interpolating surface and bedrock'); +md.geometry.bed = InterpFromGridToMesh(x1,y1,topg,md.mesh.x,md.mesh.y,0); +md.geometry.surface = InterpFromGridToMesh(x1,y1,usrf,md.mesh.x,md.mesh.y,0); + +disp(' Constructing thickness'); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; + +%ensure hydrostatic equilibrium on ice shelf: +di=md.materials.rho_ice/md.materials.rho_water; +pos=find(md.mask.vertexonfloatingice); +md.geometry.thickness(pos)=1/(1-di)*md.geometry.surface(pos); +md.geometry.bed(pos)=md.geometry.surface(pos)-md.geometry.thickness(pos); +md.geometry.hydrostatic_ratio=ones(md.mesh.numberofvertices,1); + +%Set min thickness to 1 meter +pos0=find(md.geometry.thickness<=0); +md.geometry.thickness(pos0)=1; +md.geometry.surface=md.geometry.thickness+md.geometry.bed; + +disp(' Interpolating temperatures'); +md.initialization.temperature=InterpFromGridToMesh(x1,y1,temp,md.mesh.x,md.mesh.y,0)+273.15; + +disp(' Interpolating surface mass balance'); +md.surfaceforcings.mass_balance=InterpFromGridToMesh(x1,y1,smb,md.mesh.x,md.mesh.y,0); +md.surfaceforcings.mass_balance=md.surfaceforcings.mass_balance*md.materials.rho_water/md.materials.rho_ice; + +disp(' Construct basal friction parameters'); +md.friction.coefficient=10*ones(md.mesh.numberofvertices,1); +pos=find(md.mask.vertexonfloatingice); +md.friction.coefficient(pos)=0; %no friction applied on floating ice +md.friction.p=ones(md.mesh.numberofelements,1); +md.friction.q=ones(md.mesh.numberofelements,1); + +disp(' Construct ice rheological properties'); +md.materials.rheology_n=3*ones(md.mesh.numberofelements,1); +md.materials.rheology_B=paterson(md.initialization.temperature); +md.friction.q=ones(md.mesh.numberofelements,1); +md.friction.p=ones(md.mesh.numberofelements,1); + +disp(' Set observed velocities') +vx_obs=InterpFromGridToMesh(x2,y2,flipud(velx'),md.mesh.x,md.mesh.y,0); +vy_obs=InterpFromGridToMesh(x2,y2,flipud(vely'),md.mesh.x,md.mesh.y,0); +vel_obs=sqrt(vx_obs.^2+vy_obs.^2); +md.initialization.vx=vx_obs; +md.initialization.vy=vy_obs; +md.initialization.vz=zeros(md.mesh.numberofvertices,1); +md.initialization.vel=vel_obs; +md.inversion.vx_obs=vx_obs; +md.inversion.vy_obs=vy_obs; +md.inversion.vel_obs=vel_obs; + +disp(' Set boundary conditions'); +md.basalforcings.melting_rate = zeros(md.mesh.numberofvertices,1); +md.thermal.spctemperature = [md.initialization.temperature;1]; %impose observed temperature on surface +md.prognostic.spcthickness = NaN*ones(md.mesh.numberofvertices,1); +md=SetMarineIceSheetBC(md); + +disp(' Set geothermal heat flux'); +md.basalforcings.geothermalflux=InterpFromGridToMesh(x1,y1,gflux,md.mesh.x,md.mesh.y,0); + +disp(' Set Pressure'); +md.initialization.pressure=md.materials.rho_ice*md.constants.g*(md.geometry.surface-md.mesh.z); Index: /issm/workshop/2012/Talks/09_PIG_Application/Makefile =================================================================== --- /issm/workshop/2012/Talks/09_PIG_Application/Makefile (revision 14029) +++ /issm/workshop/2012/Talks/09_PIG_Application/Makefile (revision 14029) @@ -0,0 +1,36 @@ +#Makefile for beamer +TARGET=09_PIG_Application + +export TEXINPUTS=$(JPL_SVN)/publications/templates/beamer/Theme/Pasadena//: +all: one + +one: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +complete: + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + #bibtex $(TARGET) + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +bib: + bibtex $(TARGET) + +links: + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/general/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/subtheme/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/ML/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/graphics/JPL/*.pdf . + +unlinks: + find . -maxdepth 1 -type l -print | xargs rm + +clean: + rm -f ${TARGET}.{dvi,ps,pdf,toc,log,aux,out,nav,snm,bbl,blg,vrb} PIG.* PIG-* Temporary* + +allclean: + make clean + make unlinks Index: /issm/workshop/2012/Talks/09_PIG_Application/mcode.sty =================================================================== --- /issm/workshop/2012/Talks/09_PIG_Application/mcode.sty (revision 14029) +++ /issm/workshop/2012/Talks/09_PIG_Application/mcode.sty (revision 14029) @@ -0,0 +1,280 @@ +%% +%% This is file `mcode.sty' +%% +%% It is supposed to help you easily include MATLAB source code +%% into LaTeX document, but have it nicely highlighted, using +%% the great listings package. +%% +%% PLEASE NOTE that this package does nothing but save you from +%% figuring out some configurations in setting up the LISTINGS +%% package. ALL the work is done by that package! Thus, please +%% refer your questions to the listings package documentation. +%% +%% Usage: You have three ways of including your MATLAB code. As +%% environment, as inline object and directly from an external +%% file. +%% +%% 1) Environment: +%% +%% \begin{lstlisting} +%% YOUR CODE HERE +%% \end{lstlisting} +%% +%% +%% 2) Inline object: +%% +%% Bla bla \mcode{CODEFRAGMENT} bla bla. +%% +%% +%% 3) Include external file (in environment form) +%% +%% \lstinputlisting{YOUR-FILE.m} +%% +%% +%% For your convenience this package has the following options: +%% +%% - bw if you intend to print the document (highlighting done +%% via text formatting (bold, italic) and shades of gray) +%% +%% - numbered if you want line numbers +%% +%% - autolinebreaks if you want the package to automatically +%% wrap your code. This is buggy as it may well break +%% break syntax and it doesn't work well with comments. +%% You REALLY should wrap your code manually. +%% +%% - useliterate if you want some characters / relations in +%% your code to be replace with something more readable. +%% Example: ~= becomes $\neq$, >= becomes $\geq$, delta +%% becomes $\delta$ and so on. +%% +%% - framed if you want a frame around the source code blocks +%% +%% - final if you have ``gloablly'' set the draft option, the +%% listings package will not output the code at all. to +%% force it to do so anyway, load this package with the +%% final option (passes the ``final'' on to listings). +%% +%% For example, you may use \usepackage[numbered,framed]{mcode} +%% in your document preamble. +%% +%% Note: Inside code blocks you can escape to LaTeX text mode +%% using §...§. For ex. §text and some math: $x^2$§, which is +%% especially useful in comments for putting nicely typeset +%% equations etc. To get the same colour/style as in the rest +%% of the comment use \mcommentfont, i.e. §\mcommentfont $x^2$§ +%% +%% To change the font used, edit the first line in the "custo- +%% mise below" section. And feel free to edit other things as +%% well. Refer to the documentation of the listings package to +%% see what else you could do. If an extra small font is re- +%% quired, use {\fontfamily{pcr}\fontsize{3}{4.6}\selectfont} +%% in the definition of \lstbasicfont. +%% +%% Author: +%% Florian Knorn | florian@knorn.org | www.florian-knorn.com +%% +%% Version history: +%% 2.2 -- Bugfix (thanks Willi Gerbig!) +%% 2.1 -- Finally automatic detection between end and end +%% 2.0 -- New options for line breaking and literate prog. +%% 1.8 -- Fixed typo in documentation regarding §...§ +%% 1.7 -- Added MATLAB block comment syntax %{ ...... %} +%% 1.6 -- Added some infos, dealing with keyword ``end'' +%% 1.5 -- Tweaked check to see wether textcomp is loaded +%% 1.4 -- Fixed misconfig (mathescape now set to false) +%% 1.3 -- Purely cosmetic (tabs replaced by spaces) +%% 1.2 -- Added \lstset{showstringspaces=false} +%% 1.1 -- Added \mcode command and [final] option +%% 1.0 -- Release + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% D O N ' T T O U C H T H I S % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\fileversion{2.2} +\def\filedate{2011/08/26} + +\typeout{-- Package: `mcode' \fileversion\space <\filedate> --} +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mcode}[\filedate\space\fileversion] + +% for bw-option +\newif\ifbw +\DeclareOption{bw}{\bwtrue} + +% numbered option +\newif\ifnumbered +\DeclareOption{numbered}{\numberedtrue} + +% final option +\newif\iffinal +\DeclareOption{final}{\finaltrue} + +% autolinebreaks option +\newif\ifautolinebreaks +\DeclareOption{autolinebreaks}{\autolinebreakstrue} + +% literate programming (replace certain characters/relations +\newif\ifuseliterate +\DeclareOption{useliterate}{\useliteratetrue} + +% framed option +\newif\ifframed +\DeclareOption{framed}{\framedtrue} + +\DeclareOption*{% default + \PackageWarning{mcode}{Unknown option `\CurrentOption' !}% +} +\ProcessOptions + +\ifbw\typeout{ - settings optimized for printing (bw formating)} +\else\typeout{ - settings optimized for display (colour formating)}\fi +\ifnumbered\typeout{ - line numbering enabled}\else\fi +\ifuseliterate\typeout{ - literate programming (character replacements) enabled}\else\fi +\ifautolinebreaks\typeout{ - automatic line breaking enabled (careful, buggy!)}\else\fi +\ifframed\typeout{ - framed listings}\else\fi + +% This command allows you to typeset syntax highlighted Matlab +% code ``inline''. The font size \small seems to look best... +\newcommand{\mcode}[1]{\lstinline[basicstyle=\lstbasicfont\small]|#1|} + +% check if color command exists +\ifx\color\undefined% + \RequirePackage{xcolor}% +\fi + +% check if listings has been loaded +\ifx\lstset\undefined% + \iffinal + \RequirePackage[final]{listings} + \else + \RequirePackage{listings} + \fi +\fi + +% Check if textcomp has been loaded (this package is needed for +% upright quotes '' (instead of typographic ones `´)... +\ifx\textquotesingle\undefined% + \RequirePackage{textcomp}% +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% C U S T O M I S E B E L O W % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% --------------------------------------------------------------------------------- +% default font +\def\lstbasicfont{\fontfamily{pcr}\selectfont\footnotesize} + +% --------------------------------------------------------------------------------- +% matlat languate definition +\lstdefinelanguage{matlabfloz}{% + alsoletter={...},% + morekeywords={% % keywords + break,case,catch,continue,elseif,else,end,for,function,global,% + if,otherwise,persistent,return,switch,try,while,...},% + comment=[l]\%, % comments + morecomment=[l]..., % comments + morecomment=[s]{\%\{}{\%\}}, % block comments + morestring=[m]' % strings +}[keywords,comments,strings]% + +% --------------------------------------------------------------------------------- +% general definitions +\lstset{% + basicstyle={\lstbasicfont}, % set font + showstringspaces=false, % do not emphasize spaces in strings + tabsize=3, % number of spaces of a TAB + mathescape=false,escapechar=§, % escape to latex with §...§ + upquote=true, % upright quotes + aboveskip={1.5\baselineskip}, % a bit of space above listings + columns=fixed % nice spacing +} + +% --------------------------------------------------------------------------------- +% define colours and styles +\ifbw % use font formating and gray 'colors' + \def\mcommentfont{\color[gray]{.75}\itshape} %comments light gray and italic + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\bfseries, % keywords in bold + commentstyle=\mcommentfont, % comments + stringstyle=\color[gray]{0.5} % strings darker gray + } +\else% notbw => use colors : ) + \def\mcommentfont{\color[rgb]{.133,.545,.133}} %comments in green + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\color[rgb]{0,0,1}, % keywords in blue + commentstyle=\mcommentfont, % comments + stringstyle=\color[rgb]{.627,.126,.941} % strings in purple + } +\fi%bw + +% --------------------------------------------------------------------------------- +% automatic line breaking --- warning, this is buggy and +% doesn't break comments correctly! +\ifautolinebreaks + \newsavebox{\lbreakdots}\sbox{\lbreakdots}{\lstbasicfont\mcommentfont...} + \lstset{breaklines=true,breakatwhitespace=true,prebreak=\usebox{\lbreakdots}} +\fi + +% --------------------------------------------------------------------------------- +% literate replacements +% the following is for replacing some matlab relations like >= or ~= +% by the corresponding LaTeX symbols, which are much easier to read ... +\ifuseliterate + \lstset{% + literate=% + {~}{{$\neg$}}1 % \neg + {<=}{{\tiny$\leq$}}1 % \leq + {>=}{{\tiny$\geq$}}1 % \geq + {~=}{{\tiny$\neq$}}1 % \neq + {delta}{{\tiny$\Delta$}}1 % \Delta + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\else + \lstset{% + literate=% + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\fi%literates + +% --------------------------------------------------------------------------------- +% line numbering +\ifnumbered% numbered option + \lstset{% + numbersep=3mm, numbers=left, numberstyle=\tiny, % number style + } +\fi + +\ifframed% framed option + \lstset{% + frame=single, % frame + } + \ifnumbered% + \lstset{% + framexleftmargin=6mm, xleftmargin=6mm % tweak margins + } + \fi +\fi + +\endinput +%% End of file `mcode.sty'. Index: /issm/workshop/2012/Talks/09_PIG_Application/runme.m =================================================================== --- /issm/workshop/2012/Talks/09_PIG_Application/runme.m (revision 14029) +++ /issm/workshop/2012/Talks/09_PIG_Application/runme.m (revision 14029) @@ -0,0 +1,116 @@ +steps=[1 2 3 4]; + +%SeaRISe dataset for Antarctica. Can be downloaded at: +%http://websrv.cs.umt.edu/isis/index.php/Present_Day_Antarctica + +searise='./Data/Antarctica_5km_withshelves_v0.75.nc'; + +%Rignot et al, 2011. NSIDC available velocities (at http://nsidc.org/data/nsidc-0484.html) +nsidc_vel='./Data/Antarctica_ice_velocity.nc'; + +if any(steps==1) + disp(' Step 1: Mesh creation'); + + + %Generate initial uniform mesh (resolution = 10000 m) + md=bamg(model,'domain','Exp_Par/DomainOutline.exp','hmax',10000,'MaxCornerAngle',1); + + % Get velocities (Note: You can use ncdisp('file') to see an ncdump) + xmin = ncreadatt(nsidc_vel,'/','xmin'); + xmin = strtrim(xmin); %this is a string, and we need to recover the double value + xmin = xmin(1:end-2); %get rid of the unit + xmin = str2num(xmin); %convert to double + ymax = ncreadatt(nsidc_vel,'/','ymax'); ymax = strtrim(ymax); ymax = ymax(1:end-2); ymax = str2num(ymax); + nx = ncreadatt(nsidc_vel,'/','nx'); + ny = ncreadatt(nsidc_vel,'/','ny'); + spacing = ncreadatt(nsidc_vel,'/','spacing'); spacing = strtrim(spacing); spacing = spacing(1:end-2); spacing = str2num(spacing); + vx = double(ncread(nsidc_vel,'vx')); + vy = double(ncread(nsidc_vel,'vy')); + x=xmin+(0:1:nx)'*spacing; x=double(x); + y=(ymax-ny*spacing)+(0:1:ny)'*spacing; y=double(y); + + %interpolate velocities onto coarse mesh + vx_obs=InterpFromGridToMesh(x,y,flipud(vx'),md.mesh.x,md.mesh.y,0); + vy_obs=InterpFromGridToMesh(x,y,flipud(vy'),md.mesh.x,md.mesh.y,0); + vel_obs=sqrt(vx_obs.^2+vy_obs.^2); + + %Adapt the mesh to minimize error in velocity interpolation + md=bamg(md,'hmax',400000,'hmin',5000,'gradation',1.7,'field',vel_obs,'err',8); + + %convert x,y coordinates (Polar stereo) to lat/lon + [md.mesh.lat,md.mesh.long]=xy2ll(md.mesh.x,md.mesh.y,+1,39,71); + + save ./Models/Pig.Mesh_generation md; +end + +if any(steps==2) + disp(' Step 2: Mask (floating vs grounded)'); + md = loadmodel('./Models/Pig.Mesh_generation'); + + %read thickness mask from SeaRISE + x1=double(ncread(searise,'x1')); + y1=double(ncread(searise,'y1')); + thkmask=double(ncread(searise,'thkmask')); + + %interpolate onto our mesh vertices + gridoniceshelf=double(~InterpFromGridToMesh(x1,y1,thkmask',md.mesh.x,md.mesh.y,0)); + + %transfer to our mesh elements + elementoniceshelf=zeros(md.mesh.numberofelements,1); + elementoniceshelf(find(sum(gridoniceshelf(md.mesh.elements(:,:)),2)==3))=1; + + %fill in the rest of the md.mask structure + md=setmask(md,elementoniceshelf,''); + + save ./Models/Pig.Mask md; +end + +if any(steps==3) + disp(' Step 3: Parameterization'); + md = loadmodel('./Models/Pig.Mask'); + + md = parameterize(md,'./Exp_Par/Pig.par'); + md = setflowequation(md,'macayeal','all'); + + save ./Models/Pig.Parameterization md; +end +if any(steps==4) + disp(' Step 4: Control method friction'); + md = loadmodel('./Models/Pig.Parameterization'); + + %Control general + md.inversion.iscontrol=1; + md.inversion.nsteps=20; + md.inversion.step_threshold=0.999*ones(md.inversion.nsteps,1); + md.inversion.maxiter_per_step=5*ones(md.inversion.nsteps,1); + md.verbose=verbose('solution',true,'control',true); + + %Cost functions + md.inversion.cost_functions=[[103*ones(md.inversion.nsteps/2,1); 101*ones(md.inversion.nsteps/2,1)] 501*ones(md.inversion.nsteps,1)]; + md.inversion.cost_functions_coefficients=ones(md.mesh.numberofvertices,2); + md.inversion.cost_functions_coefficients(:,1)=1; + md.inversion.cost_functions_coefficients(:,2)=8e-15; + + %Controls + md.inversion.control_parameters={'FrictionCoefficient'}; + md.inversion.gradient_scaling=50*ones(md.inversion.nsteps,1); + md.inversion.min_parameters=1*ones(md.mesh.numberofvertices,1); + md.inversion.max_parameters=200*ones(md.mesh.numberofvertices,1); + + %Additional parameters + md.diagnostic.restol=0.01; + md.diagnostic.reltol=0.1; + md.diagnostic.abstol=NaN; + + %Go solve + md.solver=addoptions(md.solver,NoneAnalysisEnum,asmoptions); + md.solver=addoptions(md.solver,DiagnosticVertAnalysisEnum,jacobiasmoptions); + md.cluster=generic('name',oshostname,'np',2); + md.verbose=verbose('solution',true,'control',true); + md=solve(md,DiagnosticSolutionEnum); + + %Update model friction fields accordingly + md.friction.coefficient=md.results.DiagnosticSolution.FrictionCoefficient; + + save ./Models/Pig.Control_drag md; +end Index: /issm/workshop/2012/Talks/10_PIG_UQ/10_PIG_UQ.tex =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/10_PIG_UQ.tex (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/10_PIG_UQ.tex (revision 14029) @@ -0,0 +1,325 @@ +%Preamble {{{1 +\documentclass[9pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[jpl,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{booktabs} %nice tables (toprule, bottomrule,...) +\graphicspath{ % directories where the pictures are located +{Images/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen + +\setbeamercovered{transparent} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{1 +%%Automatically insert outline slide at the begining of each new section (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{1 +%between brackets []: shown on headers and footers of every slide (must be short) +%between parenthesis (): shown on title page only (long) +\title[PIG: UQ Application]{Ice Sheet System model} +\subtitle{Application to Pine Island Glacier: Uncertainty Quantification (ice thickness, ice rigidity and basal +friction).} +\author[Larour et al.]{ +\textbf{Eric \textsc{Larour}}\inst{1}, +Eric \textsc{Rignot}\inst{1,2}, +Mathieu \textsc{Morlighem}\inst{2}, +H\'el\`ene \textsc{Seroussi}\inst{1} +Nicole \textsc{Schlegel}\inst{1}, +Chris \textsc{Borstad}\inst{1}, +Feras \textsc{Habbal}\inst{1,2}, +Daria \textsc{Halkides}\inst{1,3}, +Gilberto \textsc{Perez}\inst{1}, +John \textsc{Schiermeier}\inst{1}, +Michiel \textsc{Helsen}\inst{2} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}University of California, Irvine\\ +\inst{3}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2012]{ISSM Workshop 2012} +\date[]{\hspace{-15em}December 2012\hspace{3em}\copyright Copyright 2012. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} + +\begin{document} + +%Title slide %{{{1 +\begin{frame}[plain] %No headers or footers + %Do not change, this page is automatically generated + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Overview}%{{{1 + \tableofcontents +\end{frame}%}}} + +\section{Introduction} + +\begin{frame}{Introduction}%{{{1 + + Follow on study on Pine Island Glacier. Apply Uncertainty Quantification tools (based on the Dakota + framework) to quantify the propagation of errors in model inputs through a diagnostic solution of the + 2D SSA model (MacAyeal), and assess the sensitivity of model outputs (mass flux at different flux gates + across Pine Island Glacier) to model inputs. + \vspace{1em} + + Steps: + \small{ + \begin{itemize} + \item Load 09 PIG Application results (starting from the end of the basal friction inversion) + \item Load ice thickness cross-over errors from IceBridge 2009 WAIS campaign + \item Run sampling analysis using ice thickness cross-over and mass flux diagnostics. + \item Run sensitivity analysis using ice thickness, ice rigidity and basal friction as inputs and mass + flux diagnostics + \item Plot results + \end{itemize} + } + \vspace{2em} + +\end{frame}%}}} + +\section{Flux Gates} + +\begin{frame}{First Step: plot gates}%{{{1 + + The flux gates we will rely on are all in \alert{Exp\_Par/MassFluxes}. There are 13 of them. We will compute + mass fluxes (in Gt/yr) for all of these gates (using the depth-averaged ice velocity, ice thickness and ice + density). + + Run step 1 of the runme.m file to plot the gates, overlayed over the ice velocity (from our model inversion + of the basal friction) + + \lstinputlisting[firstnumber=17,firstline=17,lastline=32,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + + The gates are positioned across PIG at the inset of tributary glaciers. + +\end{frame} + +\begin{frame}{Load Cross-Over errors for ice thickness} + + Next, adapt your mesh to SeaRISE velocities and thickness. The data resides in: + + \lstinputlisting[firstnumber=5,firstline=5,lastline=5,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + Adapt: + \small { + \begin{itemize} + + \item Fill \alert{md.inversion.vx\_obs}, \alert{md.inversion.vy\_obs}, and \alert{md.inversion.vel\_obs} with interpolated velocities + \item Fill \alert{md.geometry.thickness} with interpolated thickness + \item Mesh adapt your model (bamg) + \begin{itemize} + \item Use the fields \alert{md.inversion.vel\_obs} and \alert{md.geometry.thickness} + \item Set hmax=400000m and hmin=80000m + \end {itemize} + + \item Set model lat/long using SeaRISE projection information (see + projection information in \alert{Greenland\_5km\_dev1.2.nc} - Hint: in matlab you can use ndisp) + \item Save your model to a file + \end {itemize} + } + +\end{frame} + +\begin{frame}{Mesh, 3/3}{Check Your Work} + \vspace{1em} + Solution: + \lstinputlisting[firstnumber=39,firstline=39,lastline=45,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + Plot your mesh. It should look like: + + \center{ + \includegraphics[width=0.4\textwidth]{Mesh} + } + +\end{frame}%}}} + +\begin{frame}{Mesh}{ Full Solution}%{{{1 + + \lstinputlisting[firstnumber=22,firstline=22,lastline=45,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + +\end{frame}%}}} + +\section{Parameterization} + +\begin{frame}{Parameterization}%{{{1 + + Call the \alert{setmask} function with empty arguments and then parameterize your mesh with file \alert{Exp\_Par/Greenland.par}. + + \vspace{1em} + Read though the parameter file \alert{Exp\_Par/Greenland.par}, similar to your Jks par file. + \vspace{1em} + + NB: No function is called to define boundary conditions. Instead, set \alert{spc} velocities + explicitly to zero, ensuring non-singularity. + + \lstinputlisting[firstnumber=95,firstline=95,lastline=103,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{Exp_Par/Greenland.par} + +\end{frame}%}}} +\begin{frame}{Parameterization}{Solution}%{{{1 + \lstinputlisting[firstnumber=52,firstline=52,lastline=56,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + Plot thickness and velocity. + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/plotparam.m} + \vspace{1em} + They should look like: + + \center{ + \includegraphics[width=0.4\textwidth]{Init_thickness}\includegraphics[width=0.4\textwidth]{Init_vel} + } +\end{frame}%}}} + +\section{Control Method Solution} + +\begin{frame}\frametitle{Diagnostic}%{{{1 + \vspace{1em} + Use control methods to inversely solve for Greenland \alert{FrictionCoefficient} + \vspace{1em} + + Steps: + \begin{itemize} + + \item Set \alert{cost functions} + \begin{itemize} + \item log of surface velocity + \item drag coefficient gradient + \end{itemize} + \item Set \alert{cost functions coefficient} to 8*10\textsuperscript{-15} + \item Specify \alert{max inversion parameter} = 200, \alert{min inversion parameter} = 1 + \item Solve a 50-step Diagnostic in 2D, Macayeal + \item Copy result \alert{Vx}, \alert{Vy}, and \alert{Friction Coefficient} to model values + \item Save your model + \end{itemize} + \vspace{1em} + Startoff Code: + \lstinputlisting[firstnumber=62,firstline=62,lastline=69,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + NB: Remember that \alert{md.inversion} can be called for help! + +\end{frame}%}}} + +\begin{frame}{Diagnostic}{Solution}%{{{1 + \lstinputlisting[firstnumber=71,firstline=71,lastline=91,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + +\end{frame}%}}} + +\section{Transient Solution} + +\begin{frame}{Transient}{Forcing}%{{{1 + + You are ready to run a transient! + + \vspace{1em} + Simulate Greenland warming by forcing a temporal decrease in \alert{md.surfaceforcings.mass\_balance}: + + \includegraphics[width=0.9\textwidth]{Forcing_smb} + + \vspace{1em} + + Specify a transient forcing by adding a time value to the end (in the \alert{end+1} position) of the column of forcing variable values. For example, let \alert{smb} be the initial values of surface mass balance. To impose the forcing above: + + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/smb.m} + + \small{ + NB: Prior to first and after last imposed time, forcing values remain constant. Between imposed times, forcings are linearly interpolated. + } +\end{frame}%}}} + +\begin{frame}{Transient}{Solve}%{{{1 + Set up your transient + + \vspace{1em} + Steps: + \begin{itemize} + \item Set zero \alert{basal melting rate} + \item Interpolate surface mass balance from SeaRISE dataset + \item Impose SeaRise surface mass balance for 10 years then linearly decrease to 1 m/yr by year 20 + \item Set \alert{time step} to 0.2 and \alert{output frequency} to 1 + \item Solve a 20 year Transient in 2D, Macayeal + \item Save your model + \end{itemize} + \vspace{1em} + NB: Save the \alert{IceVolume} in your transient results for plotting later: + \lstinputlisting[firstnumber=118,firstline=118,lastline=118,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} +\end{frame}%}}} + +\begin{frame}{Transient}{Solution Setup}%{{{1 + \lstinputlisting[firstnumber=98,firstline=98,lastline=126,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + +\end{frame}%}}} + + +\section{Plot Results} + +\begin{frame}{Transient Results}{Plot Plan}%{{{1 + + \vspace{1em} + + Your results are located in \alert{md.results.TransientSolution}. Plot your results. + + \vspace{1em} + First, plot the initial plan view of velocity, surface mass balance, thickness, and surface in one row of three subplots. + + \vspace{1em} + They should look like: + + \center{ + \includegraphics[width=1.0\textwidth]{Transient_plan} + } +\end{frame} +%}}} +\begin{frame}{Plot}{Solution}%{{{1 + \lstinputlisting[firstnumber=134,firstline=134,lastline=142,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + + Next, plot a timeseries of mean surface mass balance, mean velocity, and ice volume. Hint to plot mean surface mass balance results: + + \lstinputlisting[firstnumber=145,firstline=145,lastline=150,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} +\end{frame} +\begin{frame} + + \vspace{1em} + Your results should look like: + + \center{ + \includegraphics[width=0.9\textwidth]{Transient_line} + } +\end{frame} +%}}} + + +%Thanks slide{{{ +\usebackgroundtemplate{\includegraphics[width=\paperwidth,height=\paperheight]{Thanksbg}} +\begin{frame}[plain] + \ghostframe + \begin{center} + \vspace*{-0.1\paperheight} + \hspace*{-0.15\paperwidth}\Huge{Thanks!} + \end{center} + \note{Thank you very much for your attention} +\end{frame} +\usebackgroundtemplate{} +%}}} +\end{document} Index: /issm/workshop/2012/Talks/10_PIG_UQ/Code/ex1.m =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Code/ex1.m (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Code/ex1.m (revision 14029) @@ -0,0 +1,3 @@ +md=model; +md=triangle(md,'Square.exp',50000); +plotmodel(md,'data','mesh'); Index: /issm/workshop/2012/Talks/10_PIG_UQ/Code/plotparam.m =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Code/plotparam.m (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Code/plotparam.m (revision 14029) @@ -0,0 +1,2 @@ +>> plotmodel(md,'data',md.initializtion,thickness); +>> plotmodel(md,'data',md.initialization.vel_obs,'caxis',[1e-1 1e4],'log',10); Index: /issm/workshop/2012/Talks/10_PIG_UQ/Code/smb.m =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Code/smb.m (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Code/smb.m (revision 14029) @@ -0,0 +1,2 @@ +>> md.surfaceforcings.mass_balance = [ smb smb-1]; +>> md.surfaceforcings.mass_balance = [ md.surfaceforcings.mass_balance; [10 20]]; Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/DomainOutline.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/DomainOutline.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/DomainOutline.exp (revision 14029) @@ -0,0 +1,126 @@ +## Name: +## Icon:0 +# Points Count Value +121 25000. +# X pos Y pos +-1712113.01792813 -349656.020505649 +-1711509.19177597 -349354.107429569 +-1709240.65861084 -349354.107429569 +-1707080.15083453 -348922.005874306 +-1705459.7700023 -347193.599653257 +-1703083.21144836 -345249.142654577 +-1701138.75444968 -344168.888766421 +-1698438.11972929 -343952.83798879 +-1698006.01817402 -341900.355601294 +-1693793.02801022 -340279.97476906 +-1691092.39328983 -339631.822436167 +-1688391.75856944 -339415.771658536 +-1686447.30157076 -340063.923991429 +-1683530.61607274 -341036.152490769 +-1682558.3875734 -343304.685655896 +-1682134.72094546 -344182.148765835 +-1682126.28601813 -345681.244209839 +-1681072.04449632 -345932.439387964 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-365748.229645641 +-1586743.88203942 -368373.665578835 +-1586056.26786644 -370123.956200964 +-1585493.67445219 -371124.122270752 +-1586243.79900453 -373562.027065861 +-1428620.24729973 -364425.259722667 +-1414257.66839347 -327460.548254126 +-1412220.43513781 -325972.894202318 +-1404515.92405384 -296165.173727996 +-1387984.93322852 -267002.010668232 +-1375329.9306695 -287124.577303688 +-1374139.7661228 -286331.134272554 +-1347030.46255906 -322432.792189152 +-1351262.15872511 -326267.766839633 +-1381809.71542376 -297174.855698053 +-1381677.47491858 -295852.450646162 +-1382481.1222932 -294804.43614984 +-1398663.57133811 -316073.230869517 +-1409694.46978971 -363328.212840853 +-1202495.37465859 -351317.761956718 +-1191463.48094 -350233.974803 +-1232161.108357 -292094.507065 +-1231243.116761 -288422.540681 +-1360067.937381 -107884.193494 +-1423274.349742 -81217.925965 +-1402446.798767 -45916.992107 +-1478343.80656 60338.818803 +-1513291.731079 4210.33397000001 +-1523175.992559 11976.539419 +-1503760.478937 36334.18378 +-1528509.56197759 63667.6809196406 +-1623055.49187657 62841.1506965373 +-1648011.301285 32874.517873 +-1638219.390929 20634.629928 +-1650153.281676 31038.534681 +-1725734.589736 -61372.619303 +-1719614.645763 -69022.549269 +-1759088.284386 -114004.137466 +-1755416.318002 -117064.109453 +-1761230.264776 -126856.019808 +-1758170.29279 -130527.986192 +-1762148.256372 -135423.94137 +-1764902.231159 -131445.977788 +-1769798.186337 -134199.952575 +-1775000.138714 -131445.977788 +-1794277.962227 -153477.776089 +-1712576.710195 -225081.120566 +-1729939.58914591 -335652.456760472 +-1712113.01792813 -349656.020505649 Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/ErrorContour.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/ErrorContour.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/ErrorContour.exp (revision 14029) @@ -0,0 +1,24 @@ +## Name:ErrorContour +## Icon:0 +# Points Count Value +18 1.000000 +# X pos Y pos +-1642090.6657102096 -328038.7002928721 +-1665417.0018035804 -319119.8070807009 +-1681882.6508106657 -304712.3641995014 +-1666103.0705122089 -245710.4552574461 +-1632485.7037894099 -232675.1497935036 +-1616020.0547823247 -224442.3252899610 +-1598182.2683579824 -200429.9204879618 +-1596810.1309407253 -181219.9966463624 +-1615333.9860736963 -160637.9353875059 +-1559762.4206747836 -147602.6299235635 +-1527517.1913692418 -188080.6837326479 +-1566623.1077610692 -218953.7756209326 +-1533691.8097468987 -229244.8062503609 +-1523400.7791174706 -309514.8451599012 +-1533691.8097468987 -350678.9676776142 +-1594751.9248148398 -371261.0289364707 +-1636602.1160411814 -349306.8302603571 +-1642090.6657102096 -328038.7002928721 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux1.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux1.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux1.exp (revision 14029) @@ -0,0 +1,22 @@ +## Name:MassFlux1 +## Icon:0 +# Points Count Value +16 1.000000 +# X pos Y pos +-1639206.2870598873 -331286.7509677297 +-1636546.8157229046 -329232.4452857621 +-1634647.1933393457 -327710.7373731936 +-1631531.8126303090 -326569.4564387672 +-1628872.3412933266 -326036.8586693682 +-1625680.9756889476 -325656.4316912260 +-1622033.7007125143 -325504.2608999692 +-1617778.5465733423 -325580.3462955976 +-1613599.3773295127 -325428.1755043407 +-1610408.0117251338 -325656.4316912260 +-1605468.9935278804 -326645.5418343956 +-1603417.4013536368 -327102.0542081662 +-1601213.8393887084 -328928.1037032484 +-1599010.2774237799 -330145.4700333033 +-1595590.9571333739 -332047.6049240140 +-1592855.5009010490 -334406.2521884953 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux10.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux10.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux10.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux11 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1539536.1089629673 -171232.8272031187 +-1540384.1546699132 -200614.0179257037 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux11.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux11.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux11.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux12 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1559431.5986180613 -236969.7272119786 +-1549112.1094185982 -261719.2194756830 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux12.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux12.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux12.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux13 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1572656.1032135738 -292391.9615161452 +-1573651.1418990945 -315407.7936937447 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux13.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux13.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux13.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux14 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1579674.9916810417 -321516.2892665596 +-1587436.3185859676 -337140.9687259690 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux14.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux14.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux14.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux14 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1579674.9916810417 -321516.2892665596 +-1587436.3185859676 -337140.9687259690 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux15.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux15.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux15.exp (revision 14029) @@ -0,0 +1,127 @@ +## Name: +## Icon:0 +# Points Count Value +121 25000.000000 +# X pos Y pos +-1712012.0818103175 -348661.1275967784 +-1711738.9446965172 -348380.8584401013 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+-1625929.4636559838 -324999.2470617331 +-1619584.9279456623 -324892.7557348280 +-1615193.9710026928 -325097.1546172730 +-1611296.7956007582 -324995.1262699560 +-1608304.4173934418 -325211.0183405159 +-1603316.9037486394 -326424.5673739603 +-1600245.1111844976 -328836.3685103582 +-1595818.7639296530 -331148.7367850624 +-1591649.1976614639 -334787.7632693424 +-1588371.5600852505 -337840.7799059978 +-1587648.7608976758 -343365.9382903088 +-1587132.8425864622 -345049.3782468919 +-1586012.7810109658 -347625.9740446581 +-1588260.6470941922 -349356.1732009141 +-1584626.3352827206 -352498.3947002917 +-1584121.7278491815 -354575.2387267592 +-1584906.9380743054 -356537.0120279597 +-1585446.5634405916 -359133.6460951389 +-1586894.3150289655 -361098.6217195836 +-1585768.2162689434 -363527.8170254802 +-1584807.6500740163 -365694.8871387623 +-1585744.0045738907 -368358.0113804646 +-1585152.9531241022 -369694.9777909298 +-1584499.3876485692 -371017.3807505022 +-1585456.9434211247 -372944.8898924028 +-1429208.6248950495 -363616.6734221856 +-1415050.5145378630 -326851.1264040734 +-1413047.7406149551 -325411.1419014899 +-1405442.9810691341 -295790.2533492565 +-1388007.7873070226 -266002.2718567938 +-1375120.7873420289 -286146.6923060659 +-1373971.2210923850 -285345.4403176561 +-1346034.9931278315 -322527.8743193840 +-1351274.5360716779 -327267.6902373450 +-1382747.3419384742 -297522.4999399224 +-1382639.2845126297 -296126.1700367680 +-1382479.2357768724 -295804.4343703665 +-1397758.7640077863 -316499.0520702488 +-1408929.4248104726 -362684.2359936420 +-1202573.2098436793 -350320.7957165864 +-1192371.9994205239 -349816.1301302491 +-1233144.4335198263 -292276.3631183850 +-1232225.6096719459 -288608.8406540032 +-1360692.9373680721 -108664.8182541504 +-1424223.8165527256 -81531.7934136631 +-1403445.8481024427 -45960.5859752788 +-1478312.1378749039 59339.3203815984 +-1513118.6444103392 3225.4273728387 +-1524169.2804273698 11860.8708815790 +-1504759.9852699745 36302.7657860445 +-1528911.0294425790 62751.8076344339 +-1622627.2364271644 61937.4929792271 +-1647011.3496706884 32864.6807476235 +-1637527.3859760596 19912.7371761968 +-1650069.2631712460 30042.0704865309 +-1724734.6043381831 -61378.0233897057 +-1718614.9048978437 -69045.3133313945 +-1758091.3164752426 -113926.3236823874 +-1754430.7541207569 -116894.8054778867 +-1760233.4203404333 -126776.6398906443 +-1757170.3120773330 -130521.7753713153 +-1762186.6328915418 -136423.2047200473 +-1765126.7323215308 -132420.4516091067 +-1769785.4415677825 -135199.8713571306 +-1774818.6171028516 -132429.3647437230 +-1793280.1507095622 -153411.6536596067 +-1711636.5537849038 -224740.3773715630 +-1729008.9305659365 -335286.5679692774 +-1712012.0818103175 -348661.1275967784 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux2.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux2.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux2.exp (revision 14029) @@ -0,0 +1,171 @@ +## Name:MassFlux2 +## Icon:0 +# Points Count Value +165 1.000000 +# X pos Y pos +-1609993.8450579999 -266189.3103270000 +-1609790.4465310001 -265898.8271340000 +-1609587.0480040000 -265608.3439410000 +-1609383.6494770001 -265317.8607480000 +-1609136.7086169999 -265274.3184150000 +-1608933.3100900000 -264983.8352220000 +-1608686.3692300001 -264940.2928890000 +-1608236.0298430000 -264606.2673630000 +-1607989.0889830000 -264562.7250310000 +-1607785.6904559999 -264272.2418380000 +-1607538.7495960000 -264228.6995050000 +-1607291.8087370000 -264185.1571720000 +-1607044.8678770000 -264141.6148390000 +-1606797.9270170000 -264098.0725060000 +-1606304.0452970001 -264010.9878410000 +-1606057.1044369999 -263967.4455080000 +-1605810.1635769999 -263923.9031750000 +-1605563.2227179999 -263880.3608420000 +-1605316.2818580000 -263836.8185100000 +-1605069.3409980000 -263793.2761770000 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+-1588220.1099779999 -266933.1475220000 +-1587973.1691180000 -266889.6051890000 +-1587726.2282580000 -266846.0628560000 +-1587479.2873980000 -266802.5205230000 +-1586985.4056780001 -266715.4358580000 +-1586738.4648190001 -266671.8935250000 +-1586491.5239589999 -266628.3511920000 +-1586244.5830989999 -266584.8088590000 +-1585997.6422389999 -266541.2665270000 +-1585750.7013790000 -266497.7241940000 +-1585256.8196590000 -266410.6395280000 +-1585009.8787990001 -266367.0971960000 +-1584762.9379400001 -266323.5548630000 +-1584472.4547470000 -266526.9533900000 +-1584428.9124139999 -266773.8942500000 +-1584138.4292210001 -266977.2927780000 +-1583804.4036960001 -267427.6321650000 +-1583760.8613630000 -267674.5730250000 +-1583470.3781699999 -267877.9715530000 +-1583179.8949770001 -268081.3700800000 +-1583136.3526450000 -268328.3109400000 +-1582845.8694519999 -268531.7094680000 +-1582802.3271190000 -268778.6503280000 +-1582468.3015940001 -269228.9897150000 +-1582424.7592610000 -269475.9305750000 +-1582134.2760679999 -269679.3291030000 +-1582090.7337350000 -269926.2699630000 +-1581800.2505419999 -270129.6684900000 +-1581509.7673500001 -270333.0670180000 +-1581219.2841570000 -270536.4655450000 +-1581132.1994910000 -271030.3472650000 +-1580841.7162990000 -271233.7457930000 +-1580551.2331060001 -271437.1443200000 +-1580507.6907730000 -271684.0851800000 +-1580217.2075799999 -271887.4837080000 +-1580173.6652470001 -272134.4245680000 +-1579839.6397220001 -272584.7639550000 +-1579796.0973890000 -272831.7048160000 +-1579505.6141959999 -273035.1033430000 +-1579462.0718640001 -273282.0442030000 +-1579418.5295309999 -273528.9850630000 +-1579128.0463380001 -273732.3835910000 +-1579084.5040050000 -273979.3244510000 +-1578750.4784800000 -274429.6638380000 +-1578706.9361469999 -274676.6046980000 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux3.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux3.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux3.exp (revision 14029) @@ -0,0 +1,10 @@ +## Name:MassFlux4 +## Icon:0 +# Points Count Value +4 1.000000 +# X pos Y pos +-1605390.0162510793 -209047.7381093690 +-1592454.5133393104 -208141.0538114636 +-1574086.0992045982 -208918.2117810968 +-1560891.8862345938 -210472.5277203633 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux4.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux4.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux4.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux5 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1660144.8928561222 -319887.0521198768 +-1630434.8468677206 -298387.4931837295 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux5.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux5.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux5.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux6 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1635925.9455644884 -157610.4872330402 +-1625288.0602165582 -120861.2411445094 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux6.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux6.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux6.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux7 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1642052.5574172530 -95522.7999921589 +-1610982.9267521810 -78949.7704229522 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux7.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux7.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux7.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux8 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1605014.5365509845 -81707.1563440522 +-1566756.1417461073 -82763.2940976564 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux8.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux8.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux8.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux9 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1555378.1885604258 -45179.9925785796 +-1550583.9034971579 -68415.0231578706 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux9.exp =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux9.exp (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/MassFluxes/MassFlux9.exp (revision 14029) @@ -0,0 +1,8 @@ +## Name:MassFlux10 +## Icon:0 +# Points Count Value +2 1.000000 +# X pos Y pos +-1565010.6613481115 -111795.8673475993 +-1537474.3225972611 -138442.9656094175 + Index: /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/Pig.par =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/Pig.par (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Exp_Par/Pig.par (revision 14029) @@ -0,0 +1,92 @@ +%Name and hemisphere +md.miscellaneous.name='PIG'; +md.mesh.hemisphere='s'; + +disp(' Loading SeaRISE data from NetCDF'); +ncdata='Data/Antarctica_5km_withshelves_v0.75.nc'; +x1 = ncread(ncdata,'x1'); +y1 = ncread(ncdata,'y1'); +usrf = ncread(ncdata,'usrf')'; +topg = ncread(ncdata,'topg')'; +temp = ncread(ncdata,'presartm')'; +smb = ncread(ncdata,'presprcp')'; +gflux = ncread(ncdata,'bheatflx_fox')'; + +disp(' Loading velocities data from NetCDF'); +nsidc_vel='Data/Antarctica_ice_velocity.nc'; + +xmin = ncreadatt(nsidc_vel,'/','xmin'); +xmin = strtrim(xmin); %this is a string, and we need to recover the double value +xmin = xmin(1:end-2); %get rid of the unit +xmin = str2num(xmin); %convert to double +ymax = ncreadatt(nsidc_vel,'/','ymax'); ymax = strtrim(ymax); ymax = ymax(1:end-2); ymax = str2num(ymax); +nx = ncreadatt(nsidc_vel,'/','nx'); +ny = ncreadatt(nsidc_vel,'/','ny'); +spacing = ncreadatt(nsidc_vel,'/','spacing'); spacing = strtrim(spacing); spacing = spacing(1:end-2); spacing = str2num(spacing); +velx = double(ncread(nsidc_vel,'vx')); +vely = double(ncread(nsidc_vel,'vy')); +x2=xmin+(0:1:nx)'*spacing; x2=double(x2); +y2=(ymax-ny*spacing)+(0:1:ny)'*spacing; y2=double(y2); + +disp(' Interpolating surface and bedrock'); +md.geometry.bed = InterpFromGridToMesh(x1,y1,topg,md.mesh.x,md.mesh.y,0); +md.geometry.surface = InterpFromGridToMesh(x1,y1,usrf,md.mesh.x,md.mesh.y,0); + +disp(' Constructing thickness'); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; + +%ensure hydrostatic equilibrium on ice shelf: +di=md.materials.rho_ice/md.materials.rho_water; +pos=find(md.mask.vertexonfloatingice); +md.geometry.thickness(pos)=1/(1-di)*md.geometry.surface(pos); +md.geometry.bed(pos)=md.geometry.surface(pos)-md.geometry.thickness(pos); +md.geometry.hydrostatic_ratio=ones(md.mesh.numberofvertices,1); + +%Set min thickness to 1 meter +pos0=find(md.geometry.thickness<=0); +md.geometry.thickness(pos0)=1; +md.geometry.surface=md.geometry.thickness+md.geometry.bed; + +disp(' Interpolating temperatures'); +md.initialization.temperature=InterpFromGridToMesh(x1,y1,temp,md.mesh.x,md.mesh.y,0)+273.15; + +disp(' Interpolating surface mass balance'); +md.surfaceforcings.mass_balance=InterpFromGridToMesh(x1,y1,smb,md.mesh.x,md.mesh.y,0); +md.surfaceforcings.mass_balance=md.surfaceforcings.mass_balance*md.materials.rho_water/md.materials.rho_ice; + +disp(' Construct basal friction parameters'); +md.friction.coefficient=10*ones(md.mesh.numberofvertices,1); +pos=find(md.mask.vertexonfloatingice); +md.friction.coefficient(pos)=0; %no friction applied on floating ice +md.friction.p=ones(md.mesh.numberofelements,1); +md.friction.q=ones(md.mesh.numberofelements,1); + +disp(' Construct ice rheological properties'); +md.materials.rheology_n=3*ones(md.mesh.numberofelements,1); +md.materials.rheology_B=paterson(md.initialization.temperature); +md.friction.q=ones(md.mesh.numberofelements,1); +md.friction.p=ones(md.mesh.numberofelements,1); + +disp(' Set observed velocities') +vx_obs=InterpFromGridToMesh(x2,y2,flipud(velx'),md.mesh.x,md.mesh.y,0); +vy_obs=InterpFromGridToMesh(x2,y2,flipud(vely'),md.mesh.x,md.mesh.y,0); +vel_obs=sqrt(vx_obs.^2+vy_obs.^2); +md.initialization.vx=vx_obs; +md.initialization.vy=vy_obs; +md.initialization.vz=zeros(md.mesh.numberofvertices,1); +md.initialization.vel=vel_obs; +md.inversion.vx_obs=vx_obs; +md.inversion.vy_obs=vy_obs; +md.inversion.vel_obs=vel_obs; + +disp(' Set boundary conditions'); +md.basalforcings.melting_rate = zeros(md.mesh.numberofvertices,1); +md.thermal.spctemperature = [md.initialization.temperature;1]; %impose observed temperature on surface +md.prognostic.spcthickness = NaN*ones(md.mesh.numberofvertices,1); +md=SetMarineIceSheetBC(md); + +disp(' Set geothermal heat flux'); +md.basalforcings.geothermalflux=InterpFromGridToMesh(x1,y1,gflux,md.mesh.x,md.mesh.y,0); + +disp(' Set Pressure'); +md.initialization.pressure=md.materials.rho_ice*md.constants.g*(md.geometry.surface-md.mesh.z); Index: /issm/workshop/2012/Talks/10_PIG_UQ/Makefile =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/Makefile (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/Makefile (revision 14029) @@ -0,0 +1,36 @@ +#Makefile for beamer +TARGET=10_PIG_UQ + +export TEXINPUTS=$(JPL_SVN)/publications/templates/beamer/Theme/Pasadena//: +all: one + +one: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +complete: + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + #bibtex $(TARGET) + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +bib: + bibtex $(TARGET) + +links: + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/general/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/subtheme/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/ML/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/graphics/JPL/*.pdf . + +unlinks: + find . -maxdepth 1 -type l -print | xargs rm + +clean: + rm -rf ${TARGET}.{dvi,ps,pdf,toc,log,aux,out,nav,snm,bbl,blg,vrb} PIG.* PIG-* Temporary* qmu* + +allclean: + make clean + make unlinks Index: /issm/workshop/2012/Talks/10_PIG_UQ/mcode.sty =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/mcode.sty (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/mcode.sty (revision 14029) @@ -0,0 +1,280 @@ +%% +%% This is file `mcode.sty' +%% +%% It is supposed to help you easily include MATLAB source code +%% into LaTeX document, but have it nicely highlighted, using +%% the great listings package. +%% +%% PLEASE NOTE that this package does nothing but save you from +%% figuring out some configurations in setting up the LISTINGS +%% package. ALL the work is done by that package! Thus, please +%% refer your questions to the listings package documentation. +%% +%% Usage: You have three ways of including your MATLAB code. As +%% environment, as inline object and directly from an external +%% file. +%% +%% 1) Environment: +%% +%% \begin{lstlisting} +%% YOUR CODE HERE +%% \end{lstlisting} +%% +%% +%% 2) Inline object: +%% +%% Bla bla \mcode{CODEFRAGMENT} bla bla. +%% +%% +%% 3) Include external file (in environment form) +%% +%% \lstinputlisting{YOUR-FILE.m} +%% +%% +%% For your convenience this package has the following options: +%% +%% - bw if you intend to print the document (highlighting done +%% via text formatting (bold, italic) and shades of gray) +%% +%% - numbered if you want line numbers +%% +%% - autolinebreaks if you want the package to automatically +%% wrap your code. This is buggy as it may well break +%% break syntax and it doesn't work well with comments. +%% You REALLY should wrap your code manually. +%% +%% - useliterate if you want some characters / relations in +%% your code to be replace with something more readable. +%% Example: ~= becomes $\neq$, >= becomes $\geq$, delta +%% becomes $\delta$ and so on. +%% +%% - framed if you want a frame around the source code blocks +%% +%% - final if you have ``gloablly'' set the draft option, the +%% listings package will not output the code at all. to +%% force it to do so anyway, load this package with the +%% final option (passes the ``final'' on to listings). +%% +%% For example, you may use \usepackage[numbered,framed]{mcode} +%% in your document preamble. +%% +%% Note: Inside code blocks you can escape to LaTeX text mode +%% using §...§. For ex. §text and some math: $x^2$§, which is +%% especially useful in comments for putting nicely typeset +%% equations etc. To get the same colour/style as in the rest +%% of the comment use \mcommentfont, i.e. §\mcommentfont $x^2$§ +%% +%% To change the font used, edit the first line in the "custo- +%% mise below" section. And feel free to edit other things as +%% well. Refer to the documentation of the listings package to +%% see what else you could do. If an extra small font is re- +%% quired, use {\fontfamily{pcr}\fontsize{3}{4.6}\selectfont} +%% in the definition of \lstbasicfont. +%% +%% Author: +%% Florian Knorn | florian@knorn.org | www.florian-knorn.com +%% +%% Version history: +%% 2.2 -- Bugfix (thanks Willi Gerbig!) +%% 2.1 -- Finally automatic detection between end and end +%% 2.0 -- New options for line breaking and literate prog. +%% 1.8 -- Fixed typo in documentation regarding §...§ +%% 1.7 -- Added MATLAB block comment syntax %{ ...... %} +%% 1.6 -- Added some infos, dealing with keyword ``end'' +%% 1.5 -- Tweaked check to see wether textcomp is loaded +%% 1.4 -- Fixed misconfig (mathescape now set to false) +%% 1.3 -- Purely cosmetic (tabs replaced by spaces) +%% 1.2 -- Added \lstset{showstringspaces=false} +%% 1.1 -- Added \mcode command and [final] option +%% 1.0 -- Release + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% D O N ' T T O U C H T H I S % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\fileversion{2.2} +\def\filedate{2011/08/26} + +\typeout{-- Package: `mcode' \fileversion\space <\filedate> --} +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mcode}[\filedate\space\fileversion] + +% for bw-option +\newif\ifbw +\DeclareOption{bw}{\bwtrue} + +% numbered option +\newif\ifnumbered +\DeclareOption{numbered}{\numberedtrue} + +% final option +\newif\iffinal +\DeclareOption{final}{\finaltrue} + +% autolinebreaks option +\newif\ifautolinebreaks +\DeclareOption{autolinebreaks}{\autolinebreakstrue} + +% literate programming (replace certain characters/relations +\newif\ifuseliterate +\DeclareOption{useliterate}{\useliteratetrue} + +% framed option +\newif\ifframed +\DeclareOption{framed}{\framedtrue} + +\DeclareOption*{% default + \PackageWarning{mcode}{Unknown option `\CurrentOption' !}% +} +\ProcessOptions + +\ifbw\typeout{ - settings optimized for printing (bw formating)} +\else\typeout{ - settings optimized for display (colour formating)}\fi +\ifnumbered\typeout{ - line numbering enabled}\else\fi +\ifuseliterate\typeout{ - literate programming (character replacements) enabled}\else\fi +\ifautolinebreaks\typeout{ - automatic line breaking enabled (careful, buggy!)}\else\fi +\ifframed\typeout{ - framed listings}\else\fi + +% This command allows you to typeset syntax highlighted Matlab +% code ``inline''. The font size \small seems to look best... +\newcommand{\mcode}[1]{\lstinline[basicstyle=\lstbasicfont\small]|#1|} + +% check if color command exists +\ifx\color\undefined% + \RequirePackage{xcolor}% +\fi + +% check if listings has been loaded +\ifx\lstset\undefined% + \iffinal + \RequirePackage[final]{listings} + \else + \RequirePackage{listings} + \fi +\fi + +% Check if textcomp has been loaded (this package is needed for +% upright quotes '' (instead of typographic ones `´)... +\ifx\textquotesingle\undefined% + \RequirePackage{textcomp}% +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% C U S T O M I S E B E L O W % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% --------------------------------------------------------------------------------- +% default font +\def\lstbasicfont{\fontfamily{pcr}\selectfont\footnotesize} + +% --------------------------------------------------------------------------------- +% matlat languate definition +\lstdefinelanguage{matlabfloz}{% + alsoletter={...},% + morekeywords={% % keywords + break,case,catch,continue,elseif,else,end,for,function,global,% + if,otherwise,persistent,return,switch,try,while,...},% + comment=[l]\%, % comments + morecomment=[l]..., % comments + morecomment=[s]{\%\{}{\%\}}, % block comments + morestring=[m]' % strings +}[keywords,comments,strings]% + +% --------------------------------------------------------------------------------- +% general definitions +\lstset{% + basicstyle={\lstbasicfont}, % set font + showstringspaces=false, % do not emphasize spaces in strings + tabsize=3, % number of spaces of a TAB + mathescape=false,escapechar=§, % escape to latex with §...§ + upquote=true, % upright quotes + aboveskip={1.5\baselineskip}, % a bit of space above listings + columns=fixed % nice spacing +} + +% --------------------------------------------------------------------------------- +% define colours and styles +\ifbw % use font formating and gray 'colors' + \def\mcommentfont{\color[gray]{.75}\itshape} %comments light gray and italic + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\bfseries, % keywords in bold + commentstyle=\mcommentfont, % comments + stringstyle=\color[gray]{0.5} % strings darker gray + } +\else% notbw => use colors : ) + \def\mcommentfont{\color[rgb]{.133,.545,.133}} %comments in green + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\color[rgb]{0,0,1}, % keywords in blue + commentstyle=\mcommentfont, % comments + stringstyle=\color[rgb]{.627,.126,.941} % strings in purple + } +\fi%bw + +% --------------------------------------------------------------------------------- +% automatic line breaking --- warning, this is buggy and +% doesn't break comments correctly! +\ifautolinebreaks + \newsavebox{\lbreakdots}\sbox{\lbreakdots}{\lstbasicfont\mcommentfont...} + \lstset{breaklines=true,breakatwhitespace=true,prebreak=\usebox{\lbreakdots}} +\fi + +% --------------------------------------------------------------------------------- +% literate replacements +% the following is for replacing some matlab relations like >= or ~= +% by the corresponding LaTeX symbols, which are much easier to read ... +\ifuseliterate + \lstset{% + literate=% + {~}{{$\neg$}}1 % \neg + {<=}{{\tiny$\leq$}}1 % \leq + {>=}{{\tiny$\geq$}}1 % \geq + {~=}{{\tiny$\neq$}}1 % \neq + {delta}{{\tiny$\Delta$}}1 % \Delta + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\else + \lstset{% + literate=% + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\fi%literates + +% --------------------------------------------------------------------------------- +% line numbering +\ifnumbered% numbered option + \lstset{% + numbersep=3mm, numbers=left, numberstyle=\tiny, % number style + } +\fi + +\ifframed% framed option + \lstset{% + frame=single, % frame + } + \ifnumbered% + \lstset{% + framexleftmargin=6mm, xleftmargin=6mm % tweak margins + } + \fi +\fi + +\endinput +%% End of file `mcode.sty'. Index: /issm/workshop/2012/Talks/10_PIG_UQ/pig =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/pig (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/pig (revision 14029) @@ -0,0 +1,1 @@ +link /Users/larour/issm-jpl/proj-larour/LarourPigTempJGR2011 Index: /issm/workshop/2012/Talks/10_PIG_UQ/runme.m =================================================================== --- /issm/workshop/2012/Talks/10_PIG_UQ/runme.m (revision 14029) +++ /issm/workshop/2012/Talks/10_PIG_UQ/runme.m (revision 14029) @@ -0,0 +1,260 @@ +%PIG Uncertainty Quantification Application +steps=[1]; + +if any(steps==1) + disp(' Step 1: plot flux gates'); + + md = loadmodel('../09_PIG_Application/Models/Pig.Control_drag'); + + texts=cell(1,13); + textpositions=cell(1,13); + + for i=1:13, + contour=expread(['./Exp_Par/MassFluxes/MassFlux' num2str(i) '.exp']); + textpositions{i}=[contour.x(end) contour.y(end)]; + end + + plotmodel(md,'data',md.results.DiagnosticSolution.Vel,'log',10,... + 'expdisp',{'Exp_Par/MassFluxes/MassFlux1.exp',... + 'Exp_Par/MassFluxes/MassFlux2.exp',... + 'Exp_Par/MassFluxes/MassFlux3.exp',... + 'Exp_Par/MassFluxes/MassFlux4.exp',... + 'Exp_Par/MassFluxes/MassFlux5.exp',... + 'Exp_Par/MassFluxes/MassFlux6.exp',... + 'Exp_Par/MassFluxes/MassFlux7.exp',... + 'Exp_Par/MassFluxes/MassFlux8.exp',... + 'Exp_Par/MassFluxes/MassFlux9.exp',... + 'Exp_Par/MassFluxes/MassFlux10.exp',... + 'Exp_Par/MassFluxes/MassFlux11.exp',... + 'Exp_Par/MassFluxes/MassFlux12.exp',... + 'Exp_Par/MassFluxes/MassFlux13.exp'},... + 'expstyle',{'k-','k-','k-','k-','k-','k-','k-','k-','k-','k-','k-','k-','k-'},'linewidth',2,... + 'text',{'1','2','3','4','5','6','7','8','9','10','11','12','13'},'textposition',textpositions); + +end +if any(steps==2) + disp(' Step 2: compute cross overs from CRESIS'); + + md = loadmodel('../09_PIG_Application/Models/Pig.Control_drag'); + + %load cross overs from CRESIS McCord Antarctica 2009 season (courtesy of John Paden) + load('./Data/CrossOvers2009.mat'); + + %interpolate cross over errors over our mesh vertices + DeltaHH=InterpFromMeshToMesh2d(index,x,y,dhh,md.mesh.x,md.mesh.y); + + %avoid NaN values + pos=find(isnan(DeltaHH)); DeltaHH(pos)=0; + + %filter out unrealistic error ranges + flags=ContourToNodes(md.mesh.x,md.mesh.y,'Exp_Par/ErrorContour.exp',1); + pos=find(~flags); DeltaHH(pos)=0; + + %avoid large unrealistic values + pos=find(DeltaHH>1); DeltaHH(pos)=1; + pos=find(DeltaHH<-1); DeltaHH(pos)=-1; + + %transform into absolute errors and setup a minimum error everywhere. + DeltaHH=abs(DeltaHH); + pos=find(DeltaHH==0); + pos2=find(DeltaHH~=0); + DeltaHH(pos)=min(DeltaHH(pos2)); + + + save Models/Pig.CrossOvers DeltaHH + +end +if any(steps==3) + disp(' Step 3: sampling analysis'); + + %load model and cross over errors + md = loadmodel('./Models/Pig.Control_drag'); + load -mat Models/Pig.CrossOvers + + %partition the mesh + md.qmu.numberofpartitions=50; + md=partitioner(md,'package','chaco','npart',md.qmu.numberofpartitions,'weighting','on'); + md.qmu.partition=md.qmu.partition-1; %switch partition to c-indexing + + %make DeltaHH into our 3 sigma deviation + DeltaHH=DeltaHH/6; %2 (to transform DeltaHH into a radius) x 3 (for 3 sigma) + DeltaHH_on_partition=AreaAverageOntoPartition(md,DeltaHH); + DeltaHH_on_grids=DeltaHH_on_partition(md.qmu.partition+1); %just to check in case + + md.qmu.variables.thickness=normal_uncertain('scaled_Thickness',1,1); + md.qmu.variables.thickness.stddev=DeltaHH_on_partition; + + + %responses + md.qmu.responses.MassFlux1=response_function('indexed_MassFlux_1',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux2=response_function('indexed_MassFlux_2',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); %grounding line + md.qmu.responses.MassFlux3=response_function('indexed_MassFlux_3',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux4=response_function('indexed_MassFlux_4',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux5=response_function('indexed_MassFlux_5',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux6=response_function('indexed_MassFlux_6',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux7=response_function('indexed_MassFlux_7',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux8=response_function('indexed_MassFlux_8',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux9=response_function('indexed_MassFlux_9',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux10=response_function('indexed_MassFlux_10',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux11=response_function('indexed_MassFlux_11',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux12=response_function('indexed_MassFlux_12',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux13=response_function('indexed_MassFlux_13',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + + %mass flux profiles + md.qmu.mass_flux_profiles={'MassFlux1.exp',... + 'MassFlux2.exp',... + 'MassFlux3.exp',... + 'MassFlux4.exp',... + 'MassFlux5.exp',... + 'MassFlux6.exp',... + 'MassFlux7.exp',... + 'MassFlux8.exp',... + 'MassFlux9.exp',... + 'MassFlux10.exp',... + 'MassFlux11.exp',... + 'MassFlux12.exp',... + 'MassFlux13.exp'}; + md.qmu.mass_flux_profile_directory='../Exp_Par/MassFluxes/'; + + %% sampling analysis + md.qmu.method =dakota_method('nond_samp'); + md.qmu.method(end)=dmeth_params_set(md.qmu.method(end),... + 'seed',1234,... + 'samples',20,... + 'sample_type','lhs'); %random or lhs + + %% a variety of parameters + md.qmu.params.evaluation_concurrency=1; + md.qmu.params.analysis_driver=''; + md.qmu.params.analysis_components=''; + md.qmu.params.tabular_graphics_data=true; + md.verbose=verbose('qmu',true); + + md.diagnostic.restol=10^-5; %tighten tolerances for UQ analyses + + %solve + md.qmu.isdakota=1; md.inversion.iscontrol=0; + md=solve(md,DiagnosticSolutionEnum,'overwrite','y'); + md=tres(md,'dakota'); + + save ./Models/Pig.Sampling md; +end +if any(steps==4) + disp(' Step 4: sensitivity analysis'); + + %load model + md = loadmodel('./Models/Pig.Control_drag'); + + %partition the mesh + md.qmu.numberofpartitions=10; + md=partitioner(md,'package','chaco','npart',md.qmu.numberofpartitions,'weighting','on'); + md.qmu.partition=md.qmu.partition-1; %switch partition to c-indexing + + %all types of variables and responses: scaled_Thickness, indexed_MassFlux_i,MaxVel,nodal_DragCoefficient_i. scaled variables are expanded. + + %variables + md.qmu.variables.Thickness=normal_uncertain('scaled_Thickness',1,0.05); + md.qmu.variables.DragCoefficient=normal_uncertain('scaled_FrictionCoefficient',1,0.05); + md.qmu.variables.rheology_B=normal_uncertain('scaled_MaterialsRheologyB',1,0.05); + + %responses + md.qmu.responses.MassFlux1=response_function('indexed_MassFlux_1',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux2=response_function('indexed_MassFlux_2',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux3=response_function('indexed_MassFlux_3',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux4=response_function('indexed_MassFlux_4',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux5=response_function('indexed_MassFlux_5',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux6=response_function('indexed_MassFlux_6',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux7=response_function('indexed_MassFlux_7',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux8=response_function('indexed_MassFlux_8',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux9=response_function('indexed_MassFlux_9',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux10=response_function('indexed_MassFlux_10',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux11=response_function('indexed_MassFlux_11',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux12=response_function('indexed_MassFlux_12',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + md.qmu.responses.MassFlux13=response_function('indexed_MassFlux_13',[],[0.0001 0.001 0.01 0.25 0.5 0.75 0.99 0.999 0.9999]); + + %mass flux profiles + md.qmu.mass_flux_profiles={'MassFlux1.exp',... + 'MassFlux2.exp',... + 'MassFlux3.exp',... + 'MassFlux4.exp',... + 'MassFlux5.exp',... + 'MassFlux6.exp',... + 'MassFlux7.exp',... + 'MassFlux8.exp',... + 'MassFlux9.exp',... + 'MassFlux10.exp',... + 'MassFlux11.exp',... + 'MassFlux12.exp',... + 'MassFlux13.exp'}; + md.qmu.mass_flux_profile_directory='../Exp_Par/MassFluxes/'; + + %method: local reliability + md.qmu.method =dakota_method('nond_l'); + md.qmu.method(end)=dmeth_params_set(md.qmu.method(end),... + 'output','quiet'); + + %parameters + md.qmu.params.direct=true; + md.qmu.params.analysis_driver='diagnostic'; + md.qmu.params.evaluation_concurrency=1; + md.qmu.params.interval_type='forward'; + md.qmu.params.tabular_graphics_data=false; + md.diagnostic.restol=10^-5; %tighten for qmu analyses + + + %solve + md.qmu.isdakota=1; + md.inversion.iscontrol=0; + md.verbose=verbose('qmu',true); + md=solve(md,DiagnosticSolutionEnum,'overwrite','y'); + md=tres(md,'dakota'); + + save ./Models/Pig.Sensitivity md; +end +if any(steps==5) + disp(' Step 5: plot partition'); + + %load model + md = loadmodel('./Models/Pig.Sampling'); + + plotmodel(md,'data','mesh','partitionedges','on','meshlinewidth',1.5,'linewidth',2,'axis#all','image','unit','km','colorbar','off','title','','meshcolor','b','grid','on'); + +end +if any(steps==6) + disp(' Step 6: plot histogram'); + + %load model + md = loadmodel('./Models/Pig.Sampling'); + + %which profile are we looking at? + index=1; + + %retrieve results for this specific profile + result=md.results.dakota.dresp_dat(md.qmu.numberofpartitions+index); + error; + + %plot histogram + plot_hist_norm(result,'cdfleg','off','cdfplt','off','nrmplt','off','xlabelplt','M (Gt/yr)','ylabelplt','F','FontSize',8,'FaceColor','none','EdgeColor','red'); + +end +if any(steps==7) + disp(' Step 7: plot sensitivity'); + + %load model + md = loadmodel('./Models/Pig.Sensitivity'); + + %which profile are we looking at? + index=1; + + ifh=importancefactors(md,'scaled_Thickness',['indexed_MassFlux_' num2str(index)]); + ifa=importancefactors(md,'scaled_FrictionCoefficient',['indexed_MassFlux_' num2str(index)]); + ifb=importancefactors(md,'scaled_MaterialsRheologyB',['indexed_MassFlux_' num2str(index)]); + + plotmodel(md,'data',ifh,'data',ifa,'data',ifb,... + 'expdisp#all',['Exp_Par/MassFluxes/MassFlux' num2str(index) '.exp'],'expstyle#all','b-',... + 'linewidth#all',2,... + 'log#all',10,'nlines',3,'ncols',1, 'axis#all','image','caxis#all',[1e-10 1],... + 'colorbar#all','on','colorbarfontsize#all',10,... + 'colorbartitle#1','If_{H}', 'colorbartitle#2','If_{\alpha}', 'colorbartitle#3','If_{B}',... + 'unit#all','km'); +end Index: /issm/workshop/2012/Talks/11_ISMIP/16_ISMIP.tex =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/16_ISMIP.tex (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/16_ISMIP.tex (revision 14029) @@ -0,0 +1,430 @@ +%Preamble {{{1 +\documentclass[9pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +%\documentclass[9pt,handout]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[jpl,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{booktabs} %nice tables (toprule, bottomrule,...) +\graphicspath{ % directories where the pictures are located +{Images/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen + +\setbeamercovered{invisible} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{1 +%%Automatically insert outline slide at the begining of each new section (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{1 +%between brackets []: shown on headers and footers of every slide (must be short) +%between parenthesis (): shown on title page only (long) +\title[ISMIP-HOM]{Ice Sheet System model} +\subtitle{ISMIP-HOM} +\author[Larour et al.]{ +Eric \textsc{Larour}\inst{1}, +Eric \textsc{Rignot}\inst{1,3}, +Mathieu \textsc{Morlighem}\inst{1,2}, +\textbf{H\'el\`ene \textsc{Seroussi}}\inst{1,2} +Chris \textsc{Borstad}\inst{1}, +Feras \textsc{Habbal}\inst{1,3}, +Daria \textsc{Halkides}\inst{1,4}, +Behnaz \textsc{Khakbaz}\inst{1}, +John \textsc{Schiermeier}\inst{1}, +Nicole \textsc{Schlegel}\inst{1} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}Laboratoire MSSMat, \'Ecole Centrale Paris, France\\ +\inst{3}University of California, Irvine\\ +\inst{4}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2011]{ISSM Workshop 2011} +\date[]{\hspace{-15em}December 2011\hspace{3em}\copyright Copyright 2011. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} +\begin{document} + +%Title slide %{{{1 +\begin{frame}[plain] %No headers or footers + %Do not change, this page is automatically generated + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Outline}%{{{1 + \tableofcontents +\end{frame}%}}} +\section{ISMIP-HOM Test A} +\subsection{Test Description} +\begin{frame}\frametitle{Test A}%{{{1 + Square ice sheet flowing over a bumpy bed + \begin{columns} + \begin{column}{0.5\linewidth} + \begin{center} + \includegraphics[height=0.45\textheight]{ismipageometry} + \end{center} + \end{column} + + \begin{column}{0.5\linewidth} + \begin{itemize} + \item Sinusoidal bedrock + \item Ice frozen on the bed + \item Periodic boundary conditions + \end{itemize} + \end{column} + \end{columns} + Description of test in {\tt ismiphom\_description.pdf} +\end{frame} +%}}} +\subsection{Mesh} +\begin{frame}\frametitle{Mesh} %{{{ + Use {\tt squaremesh} to create the mesh: + \lstinputlisting[firstline=1,lastline=10,basicstyle=\lstbasicfont\tiny]{Code/ex1.m} + Example for 80 km and with 20 points in each direction + +\end{frame} +%}}} +\begin{frame}\frametitle{Mesh} %{{{ + + Example for 80 km and with 20 points in each direction: + \lstinputlisting[firstline=12,lastline=13]{Code/ex1.m} + + \begin{center} + \includegraphics[height=0.5\textheight]{Mesh} + \end{center} + +\end{frame} +%}}} +\subsection{Mask} +\begin{frame}\frametitle{Set Mask} %{{{ + Use {\tt setmask} to specify that everything is grounded ice + + \lstinputlisting[firstline=15,lastline=28,basicstyle=\lstbasicfont\tiny]{Code/ex1.m} + + \lstinputlisting[firstline=30,lastline=30,numbers=none]{Code/ex1.m} +\end{frame} +%}}} +\begin{frame}\frametitle{Set Mask} %{{{ + + \lstinputlisting[firstline=89,lastline=89]{Code/ex1.m} + + \begin{center} + \includegraphics[height=0.5\textheight]{mask} + \end{center} + +\end{frame} +%}}} +\subsection{Parameterization} +\begin{frame}\frametitle{Parameterization} %{{{ + Use {\tt ISMIPA.par} file to parameterize the model: + + \lstinputlisting[firstline=32,lastline=43,basicstyle=\lstbasicfont\tiny]{Code/ex1.m} + + \vspace{2em} + \uncover<2>{ + \lstinputlisting[firstline=45,lastline=45]{Code/ex1.m} + } +\end{frame} +%}}} +\begin{frame}\frametitle{Parameterization} %{{{ + Use {\tt ISMIPA.par} file to parameterize the model: + + \vspace{1em} + First geometry: + \only<1>{ + \begin{itemize} + \item surface: $s(x,y)=-x \,\text{tan}\left(\alpha\right)$, $\alpha=0.5^{\circ}$ + \item bed: $b(x,y)=s(x,y)-1000+500\,\text{sin}\left(\omega x\right) \text{sin}\left(\omega y\right)$, $\omega=\frac{2 \pi}{L}$ + \item thickness: $h\left(x,y\right)=s(x,y)-b(x,y)$ + \end{itemize} + } + \only<2>{ + \begin{itemize} + \item surface: \lstinputlisting[firstline=47,lastline=47,numbers=none,basicstyle=\lstbasicfont\footnotesize]{Code/ex1.m} + \item bed: \lstinputlisting[firstline=49,lastline=50,numbers=none,basicstyle=\lstbasicfont\footnotesize]{Code/ex1.m} + \item thickness: \lstinputlisting[firstline=52,lastline=52,numbers=none,basicstyle=\lstbasicfont\footnotesize]{Code/ex1.m} + \end{itemize} + } + +\end{frame} +%}}} +\begin{frame}\frametitle{Parameterization} %{{{ + Use {\tt ISMIPA.par} file to parameterize the model: + + \vspace{1em} + \lstinputlisting[firstline=54,lastline=54,basicstyle=\lstbasicfont\small]{Code/ex1.m} + + \begin{center} + \includegraphics[height=0.6\textheight]{ismipabed} + \end{center} + +\end{frame} +%}}} +\begin{frame}\frametitle{Parameterization} %{{{ + Use {\tt ISMIPA.par} file to parameterize the model: + + \vspace{1em} + Friction: frozen bed \\ + $\rightarrow$ Does not matter (use default value in {\tt ISMIPA.par} file) + + \vspace{1em} + Rheology: + \only<1>{ + \begin{itemize} + \item Ice-flow parameter: $A=10^{16}$ Pa$^n$ a$^-1$ + \item Exponent in Glen's flow law: $n=3$ + \end{itemize} + } + \uncover<2->{ + \begin{itemize} + \item Ice-flow parameter: $B=\frac{1}{A^{1/n}}$ in Pa s$^{1/n}$\lstinputlisting[firstline=56,lastline=57,basicstyle=\lstbasicfont\small]{Code/ex1.m} + \item Exponent in Glen's flow law: \lstinputlisting[firstline=59,lastline=60,basicstyle=\lstbasicfont\small]{Code/ex1.m} + \end{itemize} + } + + \vspace{1em} + \uncover<3->{ + Boundary condition: + \begin{itemize} + \item Ice Sheet default boundary conditions + \uncover<4->{\lstinputlisting[firstline=62,lastline=62,basicstyle=\lstbasicfont\small]{Code/ex1.m}} + \end{itemize} + } +\end{frame} +%}}} +\subsection{Extrusion} +\begin{frame}\frametitle{Extrusion} %{{{ + Use {\tt extrude.m} to extrude the model: + + \lstinputlisting[firstline=64,lastline=85,basicstyle=\lstbasicfont\tiny]{Code/ex1.m} + + \begin{center} + \uncover<2->{ \lstinputlisting[firstline=87,lastline=87]{Code/ex1.m} } + \end{center} + +\end{frame} +%}}} +\begin{frame}\frametitle{Extrusion} %{{{ + Use {\tt extrude.m} to extrude the model: + + \lstinputlisting[firstline=91,lastline=91]{Code/ex1.m} + + \begin{center} + \includegraphics[height=0.6\textheight]{ismipathickness} + \end{center} + +\end{frame} +%}}} +\subsection{Flow equation} +\begin{frame}\frametitle{Flow equation} %{{{ + Use {\tt setflowequation.m} to specify the approximation : + + \lstinputlisting[firstline=93,lastline=111,basicstyle=\lstbasicfont\tiny]{Code/ex1.m} + + \uncover<2->{ + \lstinputlisting[firstline=113,lastline=113]{Code/ex1.m} + } +\end{frame} +%}}} +\begin{frame}\frametitle{Flow equation} %{{{ + Use {\tt setflowequation.m} to specify the approximation : + + \lstinputlisting[firstline=113,lastline=113]{Code/ex1.m} + + \lstinputlisting[firstline=115,lastline=115]{Code/ex1.m} + + \begin{center} + \includegraphics[height=0.6\textheight]{ismipaelement} + \end{center} +\end{frame} +%}}} +\subsection{Boundary conditions} +\begin{frame}\frametitle{Boundary conditions} %{{{ + Ice frozen on the bedrock: zero velocity + + \lstinputlisting[firstline=117,lastline=124]{Code/ex1.m} + +\end{frame} +%}}} +\begin{frame}\frametitle{Boundary conditions} %{{{ + Periodic boundary conditions: {\tt md.diagnostic.vertex\_pairing} + + \lstinputlisting[firstline=126,lastline=131]{Code/ex1.m} + +\end{frame} +%}}} +\subsection{Results} +\begin{frame}\frametitle{Solve model} %{{{ + Set cluster and print convergence while running: + + \lstinputlisting[firstline=133,lastline=135]{Code/ex1.m} + + \uncover<2->{ + \lstinputlisting[firstline=137,lastline=137]{Code/ex1.m} + } + +\end{frame} +%}}} +\begin{frame}\frametitle{Results} %{{{ + + \lstinputlisting[firstline=139,lastline=139]{Code/ex1.m} + + \begin{center} + \uncover<2>{ \includegraphics[height=0.6\textheight]{ismipavx3d}} + \end{center} + +\end{frame} +%}}} +\begin{frame}\frametitle{Results} %{{{ + + \lstinputlisting[firstline=139,lastline=139]{Code/ex1.m} + + \begin{center} + \includegraphics[height=0.6\textheight]{ismipavy3d} + \end{center} + +\end{frame} +%}}} +\begin{frame}\frametitle{Results} %{{{ + + \lstinputlisting[firstline=141,lastline=141]{Code/ex1.m} + + \begin{center} + \includegraphics[height=0.6\textheight]{ismipavy} + \end{center} + +\end{frame} +%}}} + +\section{ISMIP-HOM Test F} +\subsection{Test Description} +\begin{frame}\frametitle{Test F}%{{{1 + Square ice sheet flowing over a sinusoidal bed + \begin{columns} + \begin{column}{0.5\linewidth} + \begin{center} + \includegraphics[height=0.45\textheight]{ismipfgeometry} + \end{center} + \end{column} + + \begin{column}{0.5\linewidth} + \begin{itemize} + \item Sinusoidal bedrock but flat surface + \item Ice frozen or sliding on the bed + \item Periodic boundary conditions + \item Transient model until steady-state + \end{itemize} + \end{column} + \end{columns} +\end{frame} +%}}} +\subsection{Transient model} +\begin{frame}\frametitle{Transient}%{{{ + + \lstinputlisting[firstline=1,lastline=10,basicstyle=\lstbasicfont\Tiny]{Code/ex2.m} + + \lstinputlisting[firstline=12,lastline=23,basicstyle=\lstbasicfont\Tiny]{Code/ex2.m} + + \lstinputlisting[firstline=25,lastline=33,basicstyle=\lstbasicfont\Tiny]{Code/ex2.m} +\end{frame} +%}}} +\begin{frame}\frametitle{Parameterization file}%{{{ + + \lstinputlisting[firstline=35,lastline=58,basicstyle=\lstbasicfont\Tiny]{Code/ex2.m} +\end{frame} +%}}} +\begin{frame}\frametitle{Runme file}%{{{ + + \lstinputlisting[firstline=60,lastline=100,basicstyle=\lstbasicfont\Tiny]{Code/ex2.m} +\end{frame} +%}}} +\subsection{Results} +\begin{frame}\frametitle{Results} %{{{ + + Results after 20 iterations of 4 years: + + \lstinputlisting[firstline=102,lastline=102,basicstyle=\lstbasicfont\tiny]{Code/ex2.m} + + \begin{center} + Upper surface velocity\\ + \includegraphics[height=0.6\textheight]{ismipfvelocity} + \end{center} + +\end{frame} +%}}} +\begin{frame}\frametitle{Results} %{{{ + + Results after 20 iterations of 4 years: + + \lstinputlisting[firstline=104,lastline=104,basicstyle=\lstbasicfont\Tiny]{Code/ex2.m} + + \begin{center} + Difference between final and initial upper surface\\ + \includegraphics[height=0.6\textheight]{ismipfsurface} + \end{center} + +\end{frame} +%}}} +\begin{frame}\frametitle{Results} %{{{ + + Results after 20 iterations of 4 years: + + \lstinputlisting[firstline=106,lastline=107,basicstyle=\lstbasicfont\Tiny]{Code/ex2.m} + + \begin{columns} + \begin{column}{0.5\linewidth} + Define profile in {\tt Profile.exp} + \lstinputlisting[firstline=108,lastline=114,basicstyle=\lstbasicfont\tiny]{Code/ex2.m} + \end{column} + + \begin{column}{0.5\linewidth} + \begin{center} + Difference between final \\ + and initial surface on a section\\ + \includegraphics[height=0.48\textheight]{ismipfsurfaceprofile} + \end{center} + \end{column} + \end{columns} + +\end{frame} +%}}} + +%Thanks slide{{{ +\usebackgroundtemplate{\includegraphics[width=\paperwidth,height=\paperheight]{Thanksbg}} +\begin{frame}[plain] + \ghostframe + \begin{center} + \vspace*{-0.1\paperheight} + \hspace*{-0.15\paperwidth}\Huge{Thanks!} + \end{center} + \note{Thank you very much for your attention} +\end{frame} +\usebackgroundtemplate{} +%}}} +\end{document} +\begin{frame}\frametitle{Include code}%{{{1 + \begin{itemize} + \item If you include some code in a slide, it must be in a file in Code/ + \item Then it can be displayed like this: + \end{itemize} + \lstinputlisting[firstline=1,lastline=4]{Code/ex1.m} + \begin{itemize} + \item Contact Mathieu or Helene (or Chris?) if you have questions about the template + \end{itemize} +\end{frame} +%}}} Index: /issm/workshop/2012/Talks/11_ISMIP/Code/ex1.m =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Code/ex1.m (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Code/ex1.m (revision 14029) @@ -0,0 +1,141 @@ +>> help squaremesh + SQUAREMESH - create a structured square mesh + + This script will generate a structured square mesh + Lx and Ly are the dimension of the domain (in meters) + nx anx ny are the number of nodes in the x and y direction + The coordinates x and y returned are in meters. + + Usage: + [md]=squaremesh(md,Lx,Ly,nx,ny) + +>> md=squaremesh(md,80000,80000,20,20) +>> plotmodel(md,'data','mesh') + +>> help setmask + SETMASK- establish boundaries between grounded and floating ice. + + By default, ice is considered grounded. The contour floatingicename defines nodes + for which ice is floating. The contour groundedicename defines nodes inside an floatingice, + that are grounded (ie: ice rises, islands, etc ...) + All input files are in the Argus format (extension .exp). + + Usage: + md=setmask(md,floatingicename,groundedicename) + + Examples: + md=setmask(md,'all',''); + md=setmask(md,'Iceshelves.exp','Islands.exp'); + +>> md=setmask(md,'','') + +>> help parameterize + PARAMETERIZE - parameterize a model + + from a parameter matlab file, start filling in all the @model fields that were not + filled in by the mesh.m and mask.m @model methods. + Warning: the paramter file must be able to be run in Matlab + + Usage: + md=parameterize(md,parametername) + + Example: + md=parameterize(md,'Square.par'); + +>> md=parameterize(md,'./ISMIPA.par');} + +md.geometry.surface=-md.mesh.x*tan(0.5*pi/180); + +md.geometry.bed=md.geometry.surface-1000 ... +... +500*sin(md.mesh.x*2*pi/L).*sin(md.mesh.y*2*pi/L); + +md.geometry.thickness=md.geometry.surface-md.geometry.bed; + +>> plotmodel(md,'data',md.geometry.bed) + +md.materials.rheology_B= ... +... 6.8067*10^7*ones(md.mesh.numberofvertices,1); + +md.materials.rheology_n= ... +... 3*ones(md.mesh.numberofelements,1); + +md=SetIceSheetBC(md); + +>> help extrude + EXTRUDE - vertically extrude a 2d mesh + + vertically extrude a 2d mesh and create corresponding 3d mesh. + The vertical distribution can: + - follow a polynomial law + - follow two polynomial laws, one for the lower part and one for the upper part + of the mesh + - be discribed by a list of coefficients (between 0 and 1) + + Usage: + md=extrude(md,numlayers,extrusionexponent); + md=extrude(md,numlayers,lowerexponent,upperexponent); + md=extrude(md,listofcoefficients); + + Example: + md=extrude(md,8,3); + md=extrude(md,8,3,2); + md=extrude(md,[0 0.2 0.5 0.7 0.9 0.95 1]); + + See also: + MODELEXTRACT, COLLAPSE + +md=extrude(md,5,1); + +>> plotmodel(md,'data',md.mask.elementongroundedice) + +>> plotmodel(md,'data',md.geometry.thickness) + +>> help setflowequation + SETELEMENTSTYPE - associate a solution type to each element + + This routine works like plotmodel: it works with an even number of inputs + 'hutter','macayeal','pattyn','stokes' and 'fill' are the possible options + that must be followed by the corresponding exp file or flags list + It can either be a domain file (argus type, .exp extension), or an array of element flags. + If user wants every element outside the domain to be + setflowequationd, add '~' to the name of the domain file (ex: '~Pattyn.exp'); + an empty string '' will be considered as an empty domain + a string 'all' will be considered as the entire domain + You can specify the type of coupling, 'penalties' or 'tiling', to use with the input 'coupling' + + Usage: + md=setflowequation(md,varargin) + + Example: + md=setflowequation(md,'pattyn','Pattyn.exp','macayeal',md.mask.elementonfloatingice,'fill','hutter'); + md=setflowequation(md,'pattyn','Pattyn.exp',fill','hutter','coupling','tiling'); + +md=setflowequation(md,'pattyn','all'); + +>> plotmodel(md,'data','elements_type') + +%Create dirichlet on the bed only +md.diagnostic.spcvx=NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvy=NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvz=NaN*ones(md.mesh.numberofvertices,1); +pos=find(md.mesh.vertexonbed); +md.diagnostic.spcvx(pos)=0; +md.diagnostic.spcvy(pos)=0; +md.diagnostic.spcvz(pos)=0; + +%Create MPCs to have periodic boundary conditions +posx=find(md.mesh.x==0); +posx2=find(md.mesh.x==max(md.mesh.x)); +posy=find(md.mesh.y==0 & md.mesh.x~=0 & md.mesh.x~=max(md.mesh.x)); %Don't take the same grids twice +posy2=find(md.mesh.y==max(md.mesh.y) & md.mesh.x~=0 & md.mesh.x~=max(md.mesh.x)); +md.diagnostic.vertex_pairing=[posx,posx2;posy,posy2]; + +%Set cluster and print messages +md.cluster=generic('name',oshostname(),'np',2); +md.verbose=verbose('convergence',true,'solution',true); + +md=solve(md,DiagnosticSolutionEnum); + +plotmodel(md,'data',md.results.DiagnosticSolution.Vx) + +plotmodel(md,'data',md.results.DiagnosticSolution.Vy,'layer',md.mesh.numberoflayers) Index: /issm/workshop/2012/Talks/11_ISMIP/Code/ex2.m =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Code/ex2.m (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Code/ex2.m (revision 14029) @@ -0,0 +1,115 @@ +>> md.transient + +ans = + + transient solution parameters: + isprognostic : 1 -- indicates if a prognostic solution is used in the transient + isthermal : 0 -- indicates if a thermal solution is used in the transient + isdiagnostic : 1 -- indicates if a diagnostic solution is used in the transient + isgroundingline : 0 -- indicates if a groundingline migration is used in the transient + requested_outputs : N/A -- list of additional outputs requested + +>> md.prognostic + +ans = + + Prognostic solution parameters: + spcthickness : (2000x1) -- thickness constraints (NaN means no constraint) + hydrostatic_adjustment : 'Absolute' -- adjustment of ice shelves surface and bed elevations: 'Incremental' or 'Absolute' + stabilization : 1 -- 0->no, 1->artificial_diffusivity, 3->discontinuous Galerkin + + Penalty options: + penalty_factor : 3 -- offset used by penalties: penalty = Kmax*10^offset + vertex_pairing : (200x2) -- pairs of vertices that are penalized + +>> md.timestepping + +ans = + + timestepping parameters: + time_step : 4 -- length of time steps [yrs] + final_time : 80 -- final time to stop the simulation [yrs] + time_adapt : 0 -- use cfl condition to define time step ? (0 or 1) + cfl_coefficient : 0.5 -- coefficient applied to cfl condition + +disp(' creating geometry'); +L=100000; +alpha=3*pi/180; +md.geometry.surface=-md.mesh.x*tan(alpha); +md.geometry.bed=md.geometry.surface-1000+100*exp(-((md.mesh.x-L/2).^2+(md.mesh.y-L/2).^2)/(10000^2)); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; + +disp(' creating drag'); +md.friction.coefficient=sqrt(365.25*24*3600/(1000*2.140373*10^-7))*ones(md.mesh.numberofvertices,1); +md.friction.p=ones(md.mesh.numberofelements,1); +md.friction.q=zeros(md.mesh.numberofelements,1); + +disp(' creating flow law paramter'); +md.materials.rheology_B=(1/(2.140373*10^-7/(365.25*24*3600)))*ones(md.mesh.numberofvertices,1); +md.materials.rheology_n=1*ones(md.mesh.numberofelements,1); + +disp(' boundary conditions for diagnostic model'); +md=SetIceSheetBC(md); + +%Field initialization +md.initialization.vx=zeros(md.mesh.numberofvertices,1); +md.initialization.vy=zeros(md.mesh.numberofvertices,1); +md.initialization.vz=zeros(md.mesh.numberofvertices,1); +md.initialization.pressure=zeros(md.mesh.numberofvertices,1); + +%Create model +md=model; + +%Create mesh +L=100000; %in m +nx=20; %numberof nodes in x direction +ny=20; +md=squaremesh(md,L,L,nx,ny); + +md=setmask(md,'',''); %ice sheet test +md=parameterize(md,'./ISMIPF.par'); +md=extrude(md,5,1); +md=setflowequation(md,'pattyn','all'); + +%Boundary conditions +md.diagnostic.spcvx(:)=NaN; +md.diagnostic.spcvy(:)=NaN; +md.diagnostic.spcvz(:)=NaN; +%Create dirichlet on the bed if no slip +pos=find(md.mesh.vertexonbed); +md.diagnostic.spcvx(pos)=0; +md.diagnostic.spcvy(pos)=0; +md.diagnostic.spcvz(pos)=0; + +%Create MPCs to have periodic boundary conditions +posx=find(md.mesh.x==0); +posx2=find(md.mesh.x==max(md.mesh.x)); +posy=find(md.mesh.y==0); %Don't take the same grids two times +posy2=find(md.mesh.y==max(md.mesh.y)); +md.diagnostic.vertex_pairing=[posx,posx2;posy,posy2]; +md.prognostic.vertex_pairing=[posx,posx2;posy,posy2]; + +%Transient parameters +md.timestepping.time_step=4; +md.timestepping.final_time=4*20; +md.transient.isthermal=0; + +%Compute the diagnostic +md.cluster=generic('name',oshostname(),'np',2); +md.verbose=verbose('convergence',true,'solution',true); +md=solve(md,TransientSolutionEnum); + +>> plotmodel(md,'data',md.results.Transient(20).Vel,'layer',md.mesh.numberoflayers) + +>> plotmodel(md,'data',md.results.Transient(20).Surface-md.geometry.surface,'layer',md.mesh.numberoflayers) + +>> plotmodel(md,'data',md.results.Transient(20).Surface-md.geometry.surface,'layer',md.mesh.numberoflayers,... + ...'sectionvalue','Profile.exp') + +## Name:icefront +## Icon:0 +# Points Count Value +2 1. +# X pos Y pos +0 50000 +100000 50000 Index: /issm/workshop/2012/Talks/11_ISMIP/Data/Elmer10D.dat =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Data/Elmer10D.dat (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Data/Elmer10D.dat (revision 14029) @@ -0,0 +1,10059 @@ + 5.459500000000e+05 0.000000000000e+00 6.153715425226e+02 -5.538149510895e+02 -1.000000000000e+00 + 5.459000000000e+05 0.000000000000e+00 6.158450341498e+02 -5.542429529543e+02 -1.000000000000e+00 + 5.458500000000e+05 0.000000000000e+00 6.163204920322e+02 -5.546730705200e+02 -1.000000000000e+00 + 5.458000000000e+05 0.000000000000e+00 6.167978968508e+02 -5.551053032918e+02 -1.000000000000e+00 + 5.457500000000e+05 0.000000000000e+00 6.172772478388e+02 -5.555396444369e+02 -1.000000000000e+00 + 5.457000000000e+05 0.000000000000e+00 6.177585489509e+02 -5.559760805576e+02 -1.000000000000e+00 + 5.456500000000e+05 0.000000000000e+00 6.182418054880e+02 -5.564145915525e+02 -1.000000000000e+00 + 5.456000000000e+05 0.000000000000e+00 6.187270234166e+02 -5.568551505807e+02 -1.000000000000e+00 + 5.455500000000e+05 0.000000000000e+00 6.192142093231e+02 -5.572977241250e+02 -1.000000000000e+00 + 5.455000000000e+05 0.000000000000e+00 6.197033706225e+02 -5.577422721686e+02 -1.000000000000e+00 + 5.454500000000e+05 0.000000000000e+00 6.201945157537e+02 -5.581887484916e+02 -1.000000000000e+00 + 5.454000000000e+05 0.000000000000e+00 6.206876542918e+02 -5.586371010927e+02 -1.000000000000e+00 + 5.453500000000e+05 0.000000000000e+00 6.211827974941e+02 -5.590872727405e+02 -1.000000000000e+00 + 5.453000000000e+05 0.000000000000e+00 6.216799585734e+02 -5.595392016550e+02 -1.000000000000e+00 + 5.452500000000e+05 0.000000000000e+00 6.221791532424e+02 -5.599928223181e+02 -1.000000000000e+00 + 5.452000000000e+05 0.000000000000e+00 6.226804007094e+02 -5.604480664112e+02 -1.000000000000e+00 + 5.451500000000e+05 0.000000000000e+00 6.231837247076e+02 -5.609048638796e+02 -1.000000000000e+00 + 5.451000000000e+05 0.000000000000e+00 6.236891555117e+02 -5.613631441020e+02 -1.000000000000e+00 + 5.450500000000e+05 0.000000000000e+00 6.241967327794e+02 -5.618228371634e+02 -1.000000000000e+00 + 5.450000000000e+05 0.000000000000e+00 6.247065101042e+02 -5.622838752293e+02 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4.500000000000e+04 4.745687531589e+02 -4.270391018418e+02 -1.000000000000e+00 + 5.600000000000e+05 4.500000000000e+04 4.748276802876e+02 -4.272717076562e+02 -1.000000000000e+00 + 5.600600000000e+05 4.750000000000e+04 4.771562569337e+02 -4.293723643418e+02 -1.000000000000e+00 + 5.600600000000e+05 5.000000000000e+04 4.782832812217e+02 -4.303866043872e+02 -1.000000000000e+00 + 5.600000000000e+05 4.750000000000e+04 4.774156223513e+02 -4.296054498199e+02 -1.000000000000e+00 + 5.600000000000e+05 5.000000000000e+04 4.785430898434e+02 -4.306202528850e+02 -1.000000000000e+00 Index: /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPA.m =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPA.m (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPA.m (revision 14029) @@ -0,0 +1,44 @@ +L=80000; % 5000,10000,20000,40000,80000,160000 + +%Create model +md=model; + +%Create mesh +nx=20; %number of nodes in x direction +ny=20; +md=squaremesh(model,L,L,nx,ny); + +%Define mask +md=setmask(md,'',''); %ice sheet test + +%Parameterize model +md=parameterize(md,'./ISMIPA.par'); + +%Extrude to have a 3d model +md=extrude(md,5,1); + +%Choose flow approximation +md=setflowequation(md,'pattyn','all'); + +%Create dirichlet on the bed only +md.diagnostic.spcvx=NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvy=NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvz=NaN*ones(md.mesh.numberofvertices,1); +pos=find(md.mesh.vertexonbed); +md.diagnostic.spcvx(pos)=0; +md.diagnostic.spcvy(pos)=0; +md.diagnostic.spcvz(pos)=0; + +%Create MPCs to have periodic boundary conditions +posx=find(md.mesh.x==0); +posx2=find(md.mesh.x==max(md.mesh.x)); +posy=find(md.mesh.y==0 & md.mesh.x~=0 & md.mesh.x~=max(md.mesh.x)); %Don't take the same grids two times +posy2=find(md.mesh.y==max(md.mesh.y) & md.mesh.x~=0 & md.mesh.x~=max(md.mesh.x)); +md.diagnostic.vertex_pairing=[posx,posx2;posy,posy2]; + +%Set cluster and print messages +md.cluster=generic('name',oshostname(),'np',2); +md.verbose=verbose('convergence',true,'solution',true); + +%Solve +md=solve(md,DiagnosticSolutionEnum); Index: /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPA.par =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPA.par (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPA.par (revision 14029) @@ -0,0 +1,20 @@ +%Create geometry: bed, thickness and surface +disp(' creating thickness'); +md.geometry.surface=-md.mesh.x*tan(0.5*pi/180); +md.geometry.bed=md.geometry.surface-1000+500*sin(md.mesh.x*2*pi/max(md.mesh.x)).*sin(md.mesh.y*2*pi/max(md.mesh.x)); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; + +%Create drag parameters (won't be used as ice is frozen on the bed) +disp(' creating drag'); +md.friction.coefficient=200*ones(md.mesh.numberofvertices,1); %q=1. +md.friction.p=ones(md.mesh.numberofelements,1); +md.friction.q=ones(md.mesh.numberofelements,1); + +%Create materials parameters: rheology parameters +disp(' creating flow law paramter'); +md.materials.rheology_B=6.8067*10^7*ones(md.mesh.numberofvertices,1); +md.materials.rheology_n=3*ones(md.mesh.numberofelements,1); + +%Create generic boundary conditions +disp(' boundary conditions for diagnostic model'); +md=SetIceSheetBC(md); Index: /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPA_jgr.par =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPA_jgr.par (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPA_jgr.par (revision 14029) @@ -0,0 +1,24 @@ +%Ok, start defining model parameters here + +disp(' creating thickness'); +md.surface=-md.x*tan(0.5*pi/180); +md.bed=md.surface-1000+500*sin(md.x*2*pi/max(md.x)).*sin(md.y*2*pi/max(md.x)); +md.thickness=md.surface-md.bed; +md.firn_layer=0*ones(md.numberofgrids,1); + +disp(' creating drag'); +md.drag_type=2; %0 none 1 plastic 2 viscous +md.drag_coefficient=200*ones(md.numberofgrids,1); %q=1. +%Take care of iceshelves: no basal drag +pos=find(md.elementoniceshelf); +md.drag_coefficient(md.elements(pos,:))=0; +md.drag_p=ones(md.numberofelements,1); +md.drag_q=ones(md.numberofelements,1); + +disp(' creating flow law paramter'); +md.rheology_B=6.8067*10^7*ones(md.numberofgrids,1); +md.rheology_n=3*ones(md.numberofelements,1); + +disp(' boundary conditions for diagnostic model'); +%Create grid on boundary fist (because we cannot use mesh) +md=SetIceSheetBC(md); Index: /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPC_jgr.m =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPC_jgr.m (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPC_jgr.m (revision 14029) @@ -0,0 +1,252 @@ +%This test is a test from the ISMP-HOM Intercomparison project Pattyn and Payne 2006 +steps=[6]; +L=80000; % 5000,10000,20000,40000,80000,160000 + +%Hard coded parameters +clustername='pfe'; +interactive=1; +printingflag=false; +%Cluster parameters{{{1 +if strcmpi(clustername,'pfe'); + cluster=pfe; + cluster.numnodes=40; + cluster.cpuspernode=12; + cluster.time=2*60; + cluster.interactive=interactive; + cluster.port=1024; + cluster.processor='wes'; +elseif strcmpi(clustername,'cosmos') + cluster=cosmos('np',100,'queue','shortq','time',1*60,'login','morlighe'); +elseif strcmpi(clustername,oshostname()), + cluster=eval([ oshostname() '(''np'',14);']); +else + error('cluster not supported yet'); +end%}}} +%Checks{{{ +if ~ismember(L,[5000,10000,20000,40000,80000,160000]), + error('L not supported (5000,10000,20000,40000,80000,160000)'); +end +%}}} + +%Run Steps +org=organizer('repository','./Models','prefix',['ISMIPC_' num2str(L) '.'],'steps',steps); +if perform(org,'SetupHO'),% {{{1 + + nx=100; %number of nodes in x direction + ny=100; + md=squaremesh(model,L,L,nx,ny); + md=geography(md,'',''); %ice sheet test + md=parameterize(md,'./Par/ISMIPC.par'); + md=extrude(md,20,1); + md=setelementstype(md,'pattyn','all'); + + %Create MPCs to have periodic boundary conditions + md.spcvelocity=zeros(md.numberofgrids,6); + posx=find(md.x==0 & md.mesh.y~=0 & md.mesh.y~=L); + posx2=find(md.x==L & md.mesh.y~=0 & md.mesh.y~=L); + posy=find(md.mesh.y==0 & md.x~=0 & md.x~=L); %Don't take the same grids two times + posy2=find(md.mesh.y==L & md.x~=0 & md.x~=L); + md.penalties=[posx,posx2;posy,posy2]; + + %Add spc on the corners + pos=find((md.x==0 | md.x==L) & (md.mesh.y==0 | md.mesh.y==L) & md.gridonbed); + md.spcvelocity(pos,1:2)=1; + if(L==5000), + md.spcvelocity(pos,4)=15.66; + md.spcvelocity(pos,5)=-0.1967; + elseif(L==10000), + md.spcvelocity(pos,4)=16.04; + md.spcvelocity(pos,5)=-0.1977; + elseif(L==20000), + md.spcvelocity(pos,4)=16.53; + md.spcvelocity(pos,5)=-1.27; + elseif(L==40000), + md.spcvelocity(pos,4)=17.23; + md.spcvelocity(pos,5)=-3.17; + elseif(L==80000), + md.spcvelocity(pos,4)=16.68; + md.spcvelocity(pos,5)=-2.69; + elseif(L==160000), + md.spcvelocity(pos,4)=16.03; + md.spcvelocity(pos,5)=-1.27; + end + + %Spc the bed at zero for vz + pos=find(md.gridonbed); + md.spcvelocity(pos,3)=1; + + savemodel(org,md); +end %}}} +if perform(org,'DiagHO'),% {{{1 + + md=loadmodel(org,'SetupHO'); + + md=setcluster(md,cluster); + md.verbose=verbose('convergence',true,'solution',true); + md=solve(md,'analysis_type',DiagnosticSolutionEnum); + + savemodel(org,md); +end %}}} + +if perform(org,'SetupFS'),% {{{1 + + md=mesh(model,['./Exp/Square_' num2str(L) '.exp'],L/50); + md=geography(md,'',''); %ice sheet test + md=parameterize(md,'./Par/ISMIPC_stokes.par'); + md=extrude(md,15,1); + md=setelementstype(md,'stokes','all'); + + %Create MPCs to have periodic boundary conditions + md.spcvelocity=zeros(md.numberofgrids,6); + + %Add spc on the corners + pos=find((md.x==0 | md.x==max(md.x) | md.mesh.y==0 | md.mesh.y==max(md.mesh.y))); + md.spcvelocity(pos,1:3)=1; + if(L==5000), + md.spcvelocity(pos,4)=15.76; + md.spcvelocity(pos,5)=-0.1967; + elseif(L==10000), + md.spcvelocity(pos,4)=16.04; + md.spcvelocity(pos,5)=-0.1977; + elseif(L==20000), + md.spcvelocity(pos,4)=16.53; + md.spcvelocity(pos,5)=-1.27; + elseif(L==40000), + md.spcvelocity(pos,4)=17.23; + md.spcvelocity(pos,5)=-3.17; + elseif(L==80000), + md.spcvelocity(pos,4)=16.68; + md.spcvelocity(pos,5)=-2.69; + elseif(L==160000), + md.spcvelocity(pos,4)=16.03; + md.spcvelocity(pos,5)=-1.27; + end + + savemodel(org,md); +end %}}} +if perform(org,'DiagFS'),% {{{1 + + md=loadmodel(org,'SetupFS'); + + md.eps_res=10^-5; + md=setcluster(md,cluster); + md.verbose=verbose('convergence',true,'solution',true); + md=solve(md,'analysis_type',DiagnosticSolutionEnum); + + savemodel(org,md); +end %}}} + +if perform(org,'ExtractResults'),% {{{1 + + %There are 250 points + A=expread('./Exp/ISMIP5000.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_5000.DiagHO'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx5HO=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + A=expread('./Exp/ISMIP5000_large.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_5000.DiagFS'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx5FS=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + + A=expread('./Exp/ISMIP10000.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_10000.DiagHO'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx10HO=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + A=expread('./Exp/ISMIP10000_large.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_10000.DiagFS'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx10FS=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + + A=expread('./Exp/ISMIP20000.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_20000.DiagHO'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx20HO=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + A=expread('./Exp/ISMIP20000_large.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_20000.DiagFS'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx20FS=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + + A=expread('./Exp/ISMIP40000.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_40000.DiagHO'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx40HO=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + A=expread('./Exp/ISMIP40000_large.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_40000.DiagFS'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx40FS=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + + A=expread('./Exp/ISMIP80000.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_80000.DiagHO'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx80HO=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + A=expread('./Exp/ISMIP80000_large.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_80000.DiagFS'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx80FS=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + + A=expread('./Exp/ISMIP160000.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_160000.DiagHO'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx160HO=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + A=expread('./Exp/ISMIP160000_large.exp');X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPC_160000.DiagFS'); + vx=project2d(md,PatchToVec(md.results.DiagnosticSolution.Vx),md.numlayers); + md.x=md.x2d; md.mesh.y=md.mesh.y2d; md.elements=md.elements2d; md.dim=2; + vx160FS=InterpFromMeshToMesh2d(md.elements,md.x,md.mesh.y,vx,X,Y); + + S=linspace(0,1,250)'; + save ./Models/ISMIPC_results S vx5HO vx5FS vx10HO vx10FS vx20HO vx20FS vx40HO vx40FS vx80HO vx80FS vx160HO vx160FS; + clear vx* vy* + +end %}}} +if perform(org,'Plot'),% {{{1 + + %Pattyn's standard plot + disp('Load and plot Pattyn''s results'); + addpath([issmtier() '/test/IsmipHomResults/plotting_scripts/']); + plot_exp_c; + set(gcf,'Position',[500 500 1000 600],'color','w'); + drawnow; + + %We add our own contribution + disp('Load and plot ISSM''s results'); + load('./Models/ISMIPC_results'); + fsFillColor = [0.254 0.625 0.660]; + nfsFillColor = [0.422 0.688 0.367]; + subplot(2,3,1); set(gca,'Layer','top'); + plot(S,vx5FS,'Color',fsFillColor,'LineWidth',2,'LineStyle','-'); + plot(S,vx5HO,'Color',nfsFillColor,'LineWidth',2,'LineStyle','-'); + subplot(2,3,2); set(gca,'Layer','top'); + plot(S,vx10FS,'Color',fsFillColor,'LineWidth',2,'LineStyle','-'); + plot(S,vx10HO,'Color',nfsFillColor,'LineWidth',2,'LineStyle','-'); + subplot(2,3,3); set(gca,'Layer','top'); + plot(S,vx20FS,'Color',fsFillColor,'LineWidth',2,'LineStyle','-'); + plot(S,vx20HO,'Color',nfsFillColor,'LineWidth',2,'LineStyle','-'); + subplot(2,3,4); set(gca,'Layer','top'); + plot(S,vx40FS,'Color',fsFillColor,'LineWidth',2,'LineStyle','-'); + plot(S,vx40HO,'Color',nfsFillColor,'LineWidth',2,'LineStyle','-'); + subplot(2,3,5); set(gca,'Layer','top'); + plot(S,vx80FS,'Color',fsFillColor,'LineWidth',2,'LineStyle','-'); + plot(S,vx80HO,'Color',nfsFillColor,'LineWidth',2,'LineStyle','-'); + subplot(2,3,6); set(gca,'Layer','top'); + p1=plot(S,vx160FS,'Color',fsFillColor,'LineWidth',2,'LineStyle','-'); + p2=plot(S,vx160HO,'Color',nfsFillColor,'LineWidth',2,'LineStyle','-'); + legend([fh1 fh2 p1 p2],{'FS', 'NFS','FS ISSM','NFS ISSM'},'Location','West'); + + printingflag=true; + if printingflag, + addpath([issmtier() '/externalpackages/export_fig']); + export_fig('../Article/figures/IsmipC.pdf'); + end +end %}}} Index: /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPC_jgr.par =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPC_jgr.par (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPC_jgr.par (revision 14029) @@ -0,0 +1,25 @@ +%Ok, start defining model parameters here + +disp(' creating thickness'); +md.surface=-md.x*tan(0.1*pi/180); +md.bed=md.surface-1000; +md.thickness=md.surface-md.bed; +md.firn_layer=0*ones(md.numberofgrids,1); + +disp(' creating drag'); +md.drag_type=2; %0 none 1 plastic 2 viscous +%md.drag_coefficient=sqrt(md.yts.*(1000+1000*sin(md.x*2*pi/max(md.x/2)).*sin(md.y*2*pi/max(md.x/2)))./(md.g*(md.rho_ice*md.thickness+md.rho_water*md.bed))); +md.drag_coefficient=sqrt(md.yts.*(1000+1000*sin(md.x*2*pi/max(md.x)).*sin(md.y*2*pi/max(md.x)))); +%Take care of iceshelves: no basal drag +pos=find(md.elementoniceshelf); +md.drag_coefficient(md.elements(pos,:))=0; +md.drag_p=ones(md.numberofelements,1); +md.drag_q=zeros(md.numberofelements,1); + +disp(' creating flow law paramter'); +md.rheology_B=6.8067*10^7*ones(md.numberofgrids,1); +md.rheology_n=3*ones(md.numberofelements,1); + +disp(' boundary conditions for diagnostic model: '); +%Create grid on boundary fist (because wi can not use mesh) +md=SetIceSheetBC(md); Index: /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF.m =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF.m (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF.m (revision 14029) @@ -0,0 +1,41 @@ +%Create model +md=model; + +%Create mesh +L=100000; %in m +nx=20; %numberof nodes in x direction +ny=20; +md=squaremesh(md,L,L,nx,ny); + +md=setmask(md,'',''); %ice sheet test +md=parameterize(md,'./ISMIPF.par'); +md=extrude(md,5,1); +md=setflowequation(md,'pattyn','all'); + +%Boundary conditions +md.diagnostic.spcvx(:)=NaN; +md.diagnostic.spcvy(:)=NaN; +md.diagnostic.spcvz(:)=NaN; +%Create dirichlet on the bed if no slip +pos=find(md.mesh.vertexonbed); +md.diagnostic.spcvx(pos)=0; +md.diagnostic.spcvy(pos)=0; +md.diagnostic.spcvz(pos)=0; + +%Create MPCs to have periodic boundary conditions +posx=find(md.mesh.x==0); +posx2=find(md.mesh.x==max(md.mesh.x)); +posy=find(md.mesh.y==0); %Don't take the same grids two times +posy2=find(md.mesh.y==max(md.mesh.y)); +md.diagnostic.vertex_pairing=[posx,posx2;posy,posy2]; +md.prognostic.vertex_pairing=[posx,posx2;posy,posy2]; + +%Transient parameters +md.timestepping.time_step=4; +md.timestepping.final_time=4*20; +md.transient.isthermal=0; + +%Compute the diagnostic +md.cluster=generic('name',oshostname(),'np',2); +md.verbose=verbose('convergence',true,'solution',true); +md=solve(md,TransientSolutionEnum); Index: /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF.par =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF.par (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF.par (revision 14029) @@ -0,0 +1,24 @@ +disp(' creating geometry'); +L=100000; +alpha=3*pi/180; +md.geometry.surface=-md.mesh.x*tan(alpha); +md.geometry.bed=md.geometry.surface-1000+100*exp(-((md.mesh.x-L/2).^2+(md.mesh.y-L/2).^2)/(10000^2)); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; + +disp(' creating drag'); +md.friction.coefficient=sqrt(365.25*24*3600/(1000*2.140373*10^-7))*ones(md.mesh.numberofvertices,1); +md.friction.p=ones(md.mesh.numberofelements,1); +md.friction.q=zeros(md.mesh.numberofelements,1); + +disp(' creating flow law paramter'); +md.materials.rheology_B=(1/(2.140373*10^-7/(365.25*24*3600)))*ones(md.mesh.numberofvertices,1); +md.materials.rheology_n=1*ones(md.mesh.numberofelements,1); + +disp(' boundary conditions for diagnostic model'); +md=SetIceSheetBC(md); + +%Field initialization +md.initialization.vx=zeros(md.mesh.numberofvertices,1); +md.initialization.vy=zeros(md.mesh.numberofvertices,1); +md.initialization.vz=zeros(md.mesh.numberofvertices,1); +md.initialization.pressure=zeros(md.mesh.numberofvertices,1); Index: /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF_jgr.m =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF_jgr.m (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF_jgr.m (revision 14029) @@ -0,0 +1,309 @@ +steps=[4]; + +%Hard coded parameters +clustername='pfe'; +interactive=1; +printingflag=false; +%Cluster parameters{{{1 +if strcmpi(clustername,'pfe'); + cluster=pfe; + cluster.numnodes=30; + cluster.cpuspernode=6; + cluster.time=12*60; + cluster.interactive=interactive; + cluster.port=1024; + cluster.processor='wes'; +elseif strcmpi(clustername,'cosmos') + cluster=cosmos('np',100,'queue','shortq','time',1*60,'login','morlighe'); +elseif strcmpi(clustername,oshostname()), + cluster=eval([ oshostname() '(''np'',8);']); +else + error('cluster not supported yet'); +end%}}} + +org=organizer('repository','./Models','prefix','ISMIPF.','steps',steps); +if perform(org,'Pattyn_frozen'),% {{{1 + +L=100000; %in m +nx=50; %numberof nodes in x direction +ny=50; +md=model; +md=squaremesh(md,L,L,nx,ny); +%md=meshconvert(md); +md=setmask(md,'',''); %ice sheet test +md=parameterize(md,'./Par/ISMIPF.par'); +md=extrude(md,20,1); + +md=setflowequation(md,'pattyn','all'); +%md=setflowequation(md,'pattyn','all','stokes','all'); + +md.diagnostic.spcvx(:)=NaN; +md.diagnostic.spcvy(:)=NaN; +md.diagnostic.spcvz(:)=NaN; +%Create dirichlet on the bed if no slip +pos=find(md.mesh.vertexonbed); +md.diagnostic.spcvx(pos)=0; +md.diagnostic.spcvy(pos)=0; +md.diagnostic.spcvz(pos)=0; +md.thermal.spctemperature(:)=255; + +%Create MPCs to have periodic boundary conditions +posx=find(md.mesh.x==0); +posx2=find(md.mesh.x==max(md.mesh.x)); + +posy=find(md.mesh.y==0); %Don't take the same grids two times +posy2=find(md.mesh.y==max(md.mesh.y)); + +md.diagnostic.vertex_pairing=[posx,posx2;posy,posy2]; +md.prognostic.vertex_pairing=[posx,posx2;posy,posy2]; + +md.timestepping.time_step=3; +md.timestepping.final_time=3*800; +md.settings.output_frequency=50; +md.prognostic.stabilization=1; +md.diagnostic.maxiter=1; +md.settings.results_on_vertices=1; +md.transient.isthermal=0; +md.transient.requested_outputs=IceVolumeEnum; + +md.initialization.vx(:)=100; +md.initialization.vy(:)=100; +%Compute the diagnostic +md=setcluster(md,cluster); +md.verbose=verbose('convergence',true,'solution',true); +md=solve(md,TransientSolutionEnum); +plotmodel(md,'data',md.results.TransientSolution(end).Vx,'layer',md.mesh.numberoflayers,'sectionvalue',[issmtier() '/test/Exp/ISMIP100000.exp'],'figure',1) +plotmodel(md,'data',md.results.TransientSolution(end).Surface-md.geometry.surface,'layer',md.mesh.numberoflayers,'sectionvalue',[issmtier() '/test/Exp/ISMIP100000.exp'],'figure',2); + +savemodel(org,md); +end +%}}} +if perform(org,'Pattyn_sliding'),% {{{1 +L=100000; %in m +nx=60; %numberof nodes in x direction +ny=60; +md=model; +md=squaremesh(md,L,L,nx,ny); +%md=meshconvert(md); +md=setmask(md,'',''); %ice sheet test +md=parameterize(md,'./Par/ISMIPF.par'); +md=extrude(md,10,1); + +md=setflowequation(md,'pattyn','all'); +%md=setflowequation(md,'pattyn','all','stokes','all'); + +md.spcvelocity(:,:)=0; +%Create dirichlet on the bed if no slip +pos=find(md.gridonbed & (md.mesh.x==0 | md.mesh.x==max(md.mesh.x)) & (md.mesh.y==0 | md.mesh.y==max(md.mesh.y))); +md.spcvelocity(pos,1:3)=1; +md.spcvelocity(pos,4)=100; %because we need a dirichlet somewhere +md.spcvelocity(pos,6)=0; %because we need a dirichlet somewhere +md.spctemperature(:,2)=255; +md.spctemperature(:,1)=1; + +%Create MPCs to have periodic boundary conditions +posx=find(md.mesh.x==0); +posx2=find(md.mesh.x==max(md.mesh.x)); + +posy=find(md.mesh.y==0); %Don't take the same grids two times +posy2=find(md.mesh.y==max(md.mesh.y)); + +md.penalties=[posx,posx2;posy,posy2]; + +md.dt=1; +md.ndt=1*600; +md.output_frequency=200; +md.prognostic_DG=0; +md.max_nonlinear_iterations=1; + +md.initialization.vx(:)=100; +md.initialization.vy(:)=100; +%Compute the diagnostic +md=setcluster(md,cluster); +md.verbose=verbose('convergence',true,'solution',true); +md=solve(md,'analysis_type',Transient3DSolutionEnum); +plotmodel(md,'data',PatchToVec(md.results.Transient3DSolution(end).Vx),'layer',md.numlayers,'sectionvalue',[issmtier() '/test/Exp/ISMIP100000.exp'],'figure',1) +plotmodel(md,'data',PatchToVec(md.results.Transient3DSolution(end).Surface)-md.geometry.surface,'layer',md.numlayers,'sectionvalue',[issmtier() '/test/Exp/ISMIP100000.exp'],'figure',2); + +savemodel(org,md); +end +%}}} +if perform(org,'Stokes_frozen'),% {{{1 +L=100000; %in m +nx=60; %numberof nodes in x direction +ny=60; +md=model; +md=squaremesh(md,L,L,nx,ny); +%md=meshconvert(md); +md=setmask(md,'',''); %ice sheet test +md=parameterize(md,'./Par/ISMIPF.par'); +md=extrude(md,20,1); + +md=setflowequation(md,'stokes','all'); +%md=setflowequation(md,'pattyn','all','stokes','all'); + +md.spcvelocity(:,:)=0; +%Create dirichlet on the bed if no slip +pos=find(md.gridonbed); +md.spcvelocity(pos,1:3)=1; +md.spctemperature(:,2)=255; +md.spctemperature(:,1)=1; + +%Create MPCs to have periodic boundary conditions +posx=find(md.mesh.x==0); +posx2=find(md.mesh.x==max(md.mesh.x)); + +posy=find(md.mesh.y==0); %Don't take the same grids two times +posy2=find(md.mesh.y==max(md.mesh.y)); + +md.penalties=[posx,posx2;posy,posy2]; + +md.dt=2; +md.ndt=2*800; +md.output_frequency=50; +md.prognostic_DG=0; +md.max_nonlinear_iterations=1; + +md.initialization.vx(:)=100; +md.initialization.vy(:)=100; +%Compute the diagnostic +md=setcluster(md,cluster); +md.verbose=verbose('convergence',true,'solution',true); +md=solve(md,'analysis_type',Transient3DSolutionEnum); +plotmodel(md,'data',PatchToVec(md.results.Transient3DSolution(end).Vx),'layer',md.numlayers,'sectionvalue',[issmtier() '/test/Exp/ISMIP100000.exp'],'figure',1,'grid','on') +plotmodel(md,'data',PatchToVec(md.results.Transient3DSolution(end).Surface)-md.geometry.surface,'layer',md.numlayers,'sectionvalue',[issmtier() '/test/Exp/ISMIP100000.exp'],'figure',2,'grid','on'); + +savemodel(org,md); +end +%}}} +if perform(org,'Stokes_sliding'),% {{{1 +L=100000; %in m +nx=60; %numberof nodes in x direction +ny=60; +md=model; +md=squaremesh(md,L,L,nx,ny); +%md=meshconvert(md); +md=setmask(md,'',''); %ice sheet test +md=parameterize(md,'./Par/ISMIPF.par'); +md=extrude(md,4,1); + +md=setflowequation(md,'stokes','all'); + +md.diagnostic.spcvx(:)=NaN; +md.diagnostic.spcvy(:)=NaN; +md.diagnostic.spcvz(:)=NaN; +%Create dirichlet on the bed if no slip +pos=find(md.mesh.vertexonbed & (md.mesh.x==0 | md.mesh.x==max(md.mesh.x)) & (md.mesh.y==0 | md.mesh.y==max(md.mesh.y))); +md.diagnostic.spcvx(pos)=100; %because we need a dirichlet somewhere +md.diagnostic.spcvy(pos)=0; +md.diagnostic.spcvz(pos)=0; +md.thermal.spctemperature(:)=255; + +%Create MPCs to have periodic boundary conditions +posx=find(md.mesh.x==0); +posx2=find(md.mesh.x==max(md.mesh.x)); + +posy=find(md.mesh.y==0); %Don't take the same grids two times +posy2=find(md.mesh.y==max(md.mesh.y)); + +md.diagnostic.vertex_pairing=[posx,posx2;posy,posy2]; +md.prognostic.vertex_pairing=[posx,posx2;posy,posy2]; + +md.timestepping.time_step=1; +md.timestepping.final_time=1*800; +md.settings.output_frequency=100; +md.prognostic.stabilization=1; +md.diagnostic.maxiter=1; +md.settings.results_on_vertices=1; +md.transient.isthermal=0; +md.transient.requested_outputs=IceVolumeEnum; + +md.initialization.vx(:)=100; +md.initialization.vy(:)=100; +%Compute the diagnostic +md=setcluster(md,cluster); +md.settings.results_on_vertices=1; +md.transient.isthermal=0; +md.verbose=verbose('convergence',true,'solution',true); +md.diagnostic.stokes_basal_penalty=0; +md=solve(md,TransientSolutionEnum); +plotmodel(md,'data',(md.results.TransientSolution(end).Vx),'layer',md.numlayers,'sectionvalue',[issmtier() '/test/Exp/ISMIP100000.exp'],'figure',1) +plotmodel(md,'data',(md.results.TransientSolution(end).Surface)-md.geometry.surface,'layer',md.numlayers,'sectionvalue',[issmtier() '/test/Exp/ISMIP100000.exp'],'figure',2); + +savemodel(org,md); +end +%}}} + +if perform(org,'ExtractResults'),% {{{1 + + %There are 250 points + A=expread([issmtier() '/test/Exp/ISMIP100000.exp']);X=linspace(A.x(1),A.x(2),250)';Y=linspace(A.y(1),A.y(2),250)'; + md=loadmodel('./Models/ISMIPF.Pattyn_frozen'); + vx=project2d(md,PatchToVec(md.results.Transient3DSolution(end).Vx),md.numlayers); + sf=project2d(md,PatchToVec(md.results.Transient3DSolution(end).Surface)-md.geometry.surface,md.numlayers); + md.mesh.x=md.mesh.x2d; md.mesh.y=md.mesh.y2d; md.mesh.elements=md.mesh.elements2d; md.dim=2; + vxHOf=InterpFromMeshToMesh2d(md.mesh.elements,md.mesh.x,md.mesh.y,vx,X,Y); + sfHOf=InterpFromMeshToMesh2d(md.mesh.elements,md.mesh.x,md.mesh.y,sf,X,Y); + + md=loadmodel('./Models/ISMIPF.Pattyn_sliding'); + vx=project2d(md,PatchToVec(md.results.Transient3DSolution(end).Vx),md.numlayers); + sf=project2d(md,PatchToVec(md.results.Transient3DSolution(end).Surface)-md.geometry.surface,md.numlayers); + md.mesh.x=md.mesh.x2d; md.mesh.y=md.mesh.y2d; md.mesh.elements=md.mesh.elements2d; md.dim=2; + vxHOs=InterpFromMeshToMesh2d(md.mesh.elements,md.mesh.x,md.mesh.y,vx,X,Y); + sfHOs=InterpFromMeshToMesh2d(md.mesh.elements,md.mesh.x,md.mesh.y,sf,X,Y); + + md=loadmodel('./Models/ISMIPF.Stokes_frozen'); + vx=project2d(md,PatchToVec(md.results.Transient3DSolution(end).Vx),md.numlayers); + sf=project2d(md,PatchToVec(md.results.Transient3DSolution(end).Surface)-md.geometry.surface,md.numlayers); + md.mesh.x=md.mesh.x2d; md.mesh.y=md.mesh.y2d; md.mesh.elements=md.mesh.elements2d; md.dim=2; + vxFSf=InterpFromMeshToMesh2d(md.mesh.elements,md.mesh.x,md.mesh.y,vx,X,Y); + sfFSf=InterpFromMeshToMesh2d(md.mesh.elements,md.mesh.x,md.mesh.y,sf,X,Y); + + md=loadmodel('./Models/ISMIPF.Stokes_sliding'); + vx=project2d(md,(md.results.TransientSolution(end).Vx),md.mesh.numberoflayers); + sf=project2d(md,(md.results.TransientSolution(end).Surface)-md.geometry.surface,md.mesh.numberoflayers); + md.mesh.x=md.mesh.x2d; md.mesh.y=md.mesh.y2d; md.mesh.elements=md.mesh.elements2d; md.mesh.dimension=2; + vxFSs=InterpFromMeshToMesh2d(md.mesh.elements,md.mesh.x,md.mesh.y,vx,X,Y); + sfFSs=InterpFromMeshToMesh2d(md.mesh.elements,md.mesh.x,md.mesh.y,sf,X,Y); + + S=linspace(-50,50,250)'; + save ./Models/ISMIPF_results S vxHOf sfHOf vxHOs sfHOs vxFSf sfFSf vxFSs sfFSs; + clear vx* sf* + +end %}}} +if perform(org,'Plot'),% {{{1 + + %Pattyn's standard plot + disp('Load and plot Pattyn''s results'); + addpath([issmtier() '/test/IsmipHomResults/plotting_scripts/']); + plot_exp_f; + plot_exp_fs; + set(gcf,'Position',[500 500 700 700],'color','w'); + drawnow; + + %We add our own contribution + disp('Load and plot ISSM''s results'); + load('./Models/ISMIPF_results'); + fsFillColor = [0.254 0.625 0.660]; + nfsFillColor = [0.422 0.688 0.367]; + disp('display ISSM''s results'); + subplot(2,2,1); set(gca,'Layer','top'); + plot(S,vxFSf,'Color',fsFillColor,'LineWidth',2,'LineStyle','-'); + plot(S,vxHOf,'Color',nfsFillColor,'LineWidth',2,'LineStyle','-'); + subplot(2,2,3); set(gca,'Layer','top'); + plot(S,vxFSs,'Color',fsFillColor,'LineWidth',2,'LineStyle','-'); + plot(S,vxHOs,'Color',nfsFillColor,'LineWidth',2,'LineStyle','-'); + subplot(2,2,2); set(gca,'Layer','top'); + plot(S,sfFSf,'Color',fsFillColor,'LineWidth',2,'LineStyle','-'); + plot(S,sfHOf,'Color',nfsFillColor,'LineWidth',2,'LineStyle','-'); + subplot(2,2,4);set(gca,'Layer','top'); + p1=plot(S,sfFSs,'Color',fsFillColor,'LineWidth',2,'LineStyle','-'); + p2=plot(S,sfHOs,'Color',nfsFillColor,'LineWidth',2,'LineStyle','-'); + + legend([fh1 fh2 p1 p2],{'FS', 'NFS','FS ISSM','NFS ISSM'},2); + + if true, + addpath([issmtier() '/externalpackages/export_fig']); + export_fig('../Article/figures/IsmipF.pdf'); + end +end %}}} Index: /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF_jgr.par =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF_jgr.par (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Files/ISMIPF_jgr.par (revision 14029) @@ -0,0 +1,41 @@ +%Ok, start defining model parameters here +disp(' creating geometry'); +alpha=3*pi/180; +md.geometry.surface=-md.mesh.x*tan(alpha); +md.geometry.bed=md.geometry.surface-1000+100*exp(-((md.mesh.x-max(md.mesh.x)/2).^2+(md.mesh.y-max(md.mesh.y)/2).^2)/(10000^2)); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; + +disp(' creating drag'); +md.friction.coefficient=sqrt(365.25*24*3600/(1000*2.140373*10^-7))*ones(md.mesh.numberofvertices,1); +md.friction.p=ones(md.mesh.numberofelements,1); +md.friction.q=zeros(md.mesh.numberofelements,1); + +disp(' creating flow law paramter'); +md.materials.rheology_B=(1/(2.140373*10^-7/(365.25*24*3600)))*ones(md.mesh.numberofvertices,1); +md.materials.rheology_n=1*ones(md.mesh.numberofelements,1); +md.materials.rheology_law='None'; + +disp(' boundary conditions for diagnostic model'); +%Create grid on boundary fist (because we cannot use mesh) +md=SetIceSheetBC(md); +%md.spcvelocity(:,4)=100*ones(md.mesh.numberofvertices,1); +md.initialization.vx=zeros(md.mesh.numberofvertices,1); +md.initialization.vy=zeros(md.mesh.numberofvertices,1); +md.initialization.vz=zeros(md.mesh.numberofvertices,1); +md.initialization.vel=zeros(md.mesh.numberofvertices,1); +md.initialization.pressure=zeros(md.mesh.numberofvertices,1); +md.initialization.temperature=255*ones(md.mesh.numberofvertices,1); +pos=find(md.mesh.x==min(md.mesh.x) | md.mesh.x==max(md.mesh.x) | md.mesh.y==min(md.mesh.y) | md.mesh.y==max(md.mesh.y)); +%md.balancethickness.spcthickness(pos,1)=1; +%md.balancethickness.spcthickness(pos,2)=md.geometry.thickness(pos); +md.thermal.spctemperature=[ones(md.mesh.numberofvertices,1) 255*ones(md.mesh.numberofvertices,1)]; +md.basalforcings.geothermalflux=0.4*ones(md.mesh.numberofvertices,1); + +%Parallel options +md.mesh.average_vertex_connectivity=200; + +%Transient options +md.timestepping.time_step=1; +md.timestepping.final_time=10; +md.prognostic.stabilization=1; +md.transient.isthermal=0; Index: /issm/workshop/2012/Talks/11_ISMIP/Files/Profile.exp =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Files/Profile.exp (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Files/Profile.exp (revision 14029) @@ -0,0 +1,7 @@ +## Name:icefront +## Icon:0 +# Points Count Value +2 1. +# X pos Y pos +0 50000 +100000 50000 Index: /issm/workshop/2012/Talks/11_ISMIP/Makefile =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/Makefile (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/Makefile (revision 14029) @@ -0,0 +1,40 @@ +#Makefile for beamer +TARGET=16_ISMIP + +#export TEXINPUTS=$(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena//: + +all: one + +one: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +complete: + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + #bibtex $(TARGET) + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +bib: + bibtex $(TARGET) + +links: + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/general/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/subtheme/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/ML/*.sty . + ln -s $(ISSM_DIR)/publications/templates/beamer/Theme/Pasadena/graphics/JPL/*.pdf . + +unlinks: + find . -maxdepth 1 -type l -print | xargs rm + +open: + open -a /Applications/Adobe\ Reader\ 9/Adobe\ Reader.app/ $(TARGET).pdf + +clean: + rm -f ${TARGET}.{dvi,ps,pdf,toc,log,aux,out,nav,snm,bbl,blg,vrb} + +allclean: + make clean + make unlinks Index: /issm/workshop/2012/Talks/11_ISMIP/mcode.sty =================================================================== --- /issm/workshop/2012/Talks/11_ISMIP/mcode.sty (revision 14029) +++ /issm/workshop/2012/Talks/11_ISMIP/mcode.sty (revision 14029) @@ -0,0 +1,280 @@ +%% +%% This is file `mcode.sty' +%% +%% It is supposed to help you easily include MATLAB source code +%% into LaTeX document, but have it nicely highlighted, using +%% the great listings package. +%% +%% PLEASE NOTE that this package does nothing but save you from +%% figuring out some configurations in setting up the LISTINGS +%% package. ALL the work is done by that package! Thus, please +%% refer your questions to the listings package documentation. +%% +%% Usage: You have three ways of including your MATLAB code. As +%% environment, as inline object and directly from an external +%% file. +%% +%% 1) Environment: +%% +%% \begin{lstlisting} +%% YOUR CODE HERE +%% \end{lstlisting} +%% +%% +%% 2) Inline object: +%% +%% Bla bla \mcode{CODEFRAGMENT} bla bla. +%% +%% +%% 3) Include external file (in environment form) +%% +%% \lstinputlisting{YOUR-FILE.m} +%% +%% +%% For your convenience this package has the following options: +%% +%% - bw if you intend to print the document (highlighting done +%% via text formatting (bold, italic) and shades of gray) +%% +%% - numbered if you want line numbers +%% +%% - autolinebreaks if you want the package to automatically +%% wrap your code. This is buggy as it may well break +%% break syntax and it doesn't work well with comments. +%% You REALLY should wrap your code manually. +%% +%% - useliterate if you want some characters / relations in +%% your code to be replace with something more readable. +%% Example: ~= becomes $\neq$, >= becomes $\geq$, delta +%% becomes $\delta$ and so on. +%% +%% - framed if you want a frame around the source code blocks +%% +%% - final if you have ``gloablly'' set the draft option, the +%% listings package will not output the code at all. to +%% force it to do so anyway, load this package with the +%% final option (passes the ``final'' on to listings). +%% +%% For example, you may use \usepackage[numbered,framed]{mcode} +%% in your document preamble. +%% +%% Note: Inside code blocks you can escape to LaTeX text mode +%% using §...§. For ex. §text and some math: $x^2$§, which is +%% especially useful in comments for putting nicely typeset +%% equations etc. To get the same colour/style as in the rest +%% of the comment use \mcommentfont, i.e. §\mcommentfont $x^2$§ +%% +%% To change the font used, edit the first line in the "custo- +%% mise below" section. And feel free to edit other things as +%% well. Refer to the documentation of the listings package to +%% see what else you could do. If an extra small font is re- +%% quired, use {\fontfamily{pcr}\fontsize{3}{4.6}\selectfont} +%% in the definition of \lstbasicfont. +%% +%% Author: +%% Florian Knorn | florian@knorn.org | www.florian-knorn.com +%% +%% Version history: +%% 2.2 -- Bugfix (thanks Willi Gerbig!) +%% 2.1 -- Finally automatic detection between end and end +%% 2.0 -- New options for line breaking and literate prog. +%% 1.8 -- Fixed typo in documentation regarding §...§ +%% 1.7 -- Added MATLAB block comment syntax %{ ...... %} +%% 1.6 -- Added some infos, dealing with keyword ``end'' +%% 1.5 -- Tweaked check to see wether textcomp is loaded +%% 1.4 -- Fixed misconfig (mathescape now set to false) +%% 1.3 -- Purely cosmetic (tabs replaced by spaces) +%% 1.2 -- Added \lstset{showstringspaces=false} +%% 1.1 -- Added \mcode command and [final] option +%% 1.0 -- Release + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% D O N ' T T O U C H T H I S % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\fileversion{2.2} +\def\filedate{2011/08/26} + +\typeout{-- Package: `mcode' \fileversion\space <\filedate> --} +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mcode}[\filedate\space\fileversion] + +% for bw-option +\newif\ifbw +\DeclareOption{bw}{\bwtrue} + +% numbered option +\newif\ifnumbered +\DeclareOption{numbered}{\numberedtrue} + +% final option +\newif\iffinal +\DeclareOption{final}{\finaltrue} + +% autolinebreaks option +\newif\ifautolinebreaks +\DeclareOption{autolinebreaks}{\autolinebreakstrue} + +% literate programming (replace certain characters/relations +\newif\ifuseliterate +\DeclareOption{useliterate}{\useliteratetrue} + +% framed option +\newif\ifframed +\DeclareOption{framed}{\framedtrue} + +\DeclareOption*{% default + \PackageWarning{mcode}{Unknown option `\CurrentOption' !}% +} +\ProcessOptions + +\ifbw\typeout{ - settings optimized for printing (bw formating)} +\else\typeout{ - settings optimized for display (colour formating)}\fi +\ifnumbered\typeout{ - line numbering enabled}\else\fi +\ifuseliterate\typeout{ - literate programming (character replacements) enabled}\else\fi +\ifautolinebreaks\typeout{ - automatic line breaking enabled (careful, buggy!)}\else\fi +\ifframed\typeout{ - framed listings}\else\fi + +% This command allows you to typeset syntax highlighted Matlab +% code ``inline''. The font size \small seems to look best... +\newcommand{\mcode}[1]{\lstinline[basicstyle=\lstbasicfont\small]|#1|} + +% check if color command exists +\ifx\color\undefined% + \RequirePackage{xcolor}% +\fi + +% check if listings has been loaded +\ifx\lstset\undefined% + \iffinal + \RequirePackage[final]{listings} + \else + \RequirePackage{listings} + \fi +\fi + +% Check if textcomp has been loaded (this package is needed for +% upright quotes '' (instead of typographic ones `´)... +\ifx\textquotesingle\undefined% + \RequirePackage{textcomp}% +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% C U S T O M I S E B E L O W % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% --------------------------------------------------------------------------------- +% default font +\def\lstbasicfont{\fontfamily{pcr}\selectfont\footnotesize} + +% --------------------------------------------------------------------------------- +% matlat languate definition +\lstdefinelanguage{matlabfloz}{% + alsoletter={...},% + morekeywords={% % keywords + break,case,catch,continue,elseif,else,end,for,function,global,% + if,otherwise,persistent,return,switch,try,while,...},% + comment=[l]\%, % comments + morecomment=[l]..., % comments + morecomment=[s]{\%\{}{\%\}}, % block comments + morestring=[m]' % strings +}[keywords,comments,strings]% + +% --------------------------------------------------------------------------------- +% general definitions +\lstset{% + basicstyle={\lstbasicfont}, % set font + showstringspaces=false, % do not emphasize spaces in strings + tabsize=3, % number of spaces of a TAB + mathescape=false,escapechar=§, % escape to latex with §...§ + upquote=true, % upright quotes + aboveskip={1.5\baselineskip}, % a bit of space above listings + columns=fixed % nice spacing +} + +% --------------------------------------------------------------------------------- +% define colours and styles +\ifbw % use font formating and gray 'colors' + \def\mcommentfont{\color[gray]{.75}\itshape} %comments light gray and italic + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\bfseries, % keywords in bold + commentstyle=\mcommentfont, % comments + stringstyle=\color[gray]{0.5} % strings darker gray + } +\else% notbw => use colors : ) + \def\mcommentfont{\color[rgb]{.133,.545,.133}} %comments in green + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\color[rgb]{0,0,1}, % keywords in blue + commentstyle=\mcommentfont, % comments + stringstyle=\color[rgb]{.627,.126,.941} % strings in purple + } +\fi%bw + +% --------------------------------------------------------------------------------- +% automatic line breaking --- warning, this is buggy and +% doesn't break comments correctly! +\ifautolinebreaks + \newsavebox{\lbreakdots}\sbox{\lbreakdots}{\lstbasicfont\mcommentfont...} + \lstset{breaklines=true,breakatwhitespace=true,prebreak=\usebox{\lbreakdots}} +\fi + +% --------------------------------------------------------------------------------- +% literate replacements +% the following is for replacing some matlab relations like >= or ~= +% by the corresponding LaTeX symbols, which are much easier to read ... +\ifuseliterate + \lstset{% + literate=% + {~}{{$\neg$}}1 % \neg + {<=}{{\tiny$\leq$}}1 % \leq + {>=}{{\tiny$\geq$}}1 % \geq + {~=}{{\tiny$\neq$}}1 % \neq + {delta}{{\tiny$\Delta$}}1 % \Delta + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\else + \lstset{% + literate=% + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\fi%literates + +% --------------------------------------------------------------------------------- +% line numbering +\ifnumbered% numbered option + \lstset{% + numbersep=3mm, numbers=left, numberstyle=\tiny, % number style + } +\fi + +\ifframed% framed option + \lstset{% + frame=single, % frame + } + \ifnumbered% + \lstset{% + framexleftmargin=6mm, xleftmargin=6mm % tweak margins + } + \fi +\fi + +\endinput +%% End of file `mcode.sty'. Index: /issm/workshop/2012/Talks/12_SeaRISE/12_SeaRISE.tex =================================================================== --- /issm/workshop/2012/Talks/12_SeaRISE/12_SeaRISE.tex (revision 14029) +++ /issm/workshop/2012/Talks/12_SeaRISE/12_SeaRISE.tex (revision 14029) @@ -0,0 +1,324 @@ +%Preamble {{{1 +\documentclass[9pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[jpl,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{booktabs} %nice tables (toprule, bottomrule,...) +\graphicspath{ % directories where the pictures are located +{Images/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen + +\setbeamercovered{transparent} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{1 +%%Automatically insert outline slide at the begining of each new section (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{1 +%between brackets []: shown on headers and footers of every slide (must be short) +%between parenthesis (): shown on title page only (long) +\title[Application SeaRISE]{Ice Sheet System model} +\subtitle{Application to SeaRISE dataset, Greenland Ice Sheet} +\author[Larour et al.]{ +Eric \textsc{Larour}\inst{1}, +Eric \textsc{Rignot}\inst{1,2}, +Mathieu \textsc{Morlighem}\inst{2}, +H\'el\`ene \textsc{Seroussi}\inst{1} +\textbf{Nicole \textsc{Schlegel}}\inst{1}, +Chris \textsc{Borstad}\inst{1}, +Feras \textsc{Habbal}\inst{1,2}, +Daria \textsc{Halkides}\inst{1,3}, +Gilberto \textsc{Perez}\inst{1}, +John \textsc{Schiermeier}\inst{1}, +Michiel \textsc{Helsen}\inst{2} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}University of California, Irvine\\ +\inst{3}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2012]{ISSM Workshop 2012} +\date[]{\hspace{-15em}December 2012\hspace{3em}\copyright Copyright 2012. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} + +\begin{document} + +%Title slide %{{{1 +\begin{frame}[plain] %No headers or footers + %Do not change, this page is automatically generated + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Overview}%{{{1 + \tableofcontents +\end{frame}%}}} + +\section{Introduction} + +\begin{frame}{Goals}%{{{1 + + Use your new ISSM skills to run a very coarse Greenland + model. Initialize your domain with a given exp file and parameterize it with the + SeaRISE netcdf dataset. + \vspace{1em} + + Steps: + \small{ + \begin{itemize} + \item Mesh Greenland with given exp + \item Adapt mesh using SeaRISE velocities and thickness data + \item Parameterize (as the Jks model), but specify velocity of at least one point to ensure non-sigularity. + \item Diagnostic: run inverse method to control drag (50 steps recommended) + \item Transient: 20 year run + \begin{itemize} + \item Use an appropriate time step for your resolution + \item Force SeaRISE surface mass balance for 10 years + \item For the next 10 years, simulate a warming scenario: decrease the surface mass balance linearly, reaching a decrease of 1.0 m/y by year 20 + \end{itemize} + \item Plot transient results + \end{itemize} + } + \vspace{2em} + +\end{frame}%}}} + +\section{Mesh} + +\begin{frame}{First Run Step: Mesh}%{{{1 + + The domain file \alert{DomainOutline.exp} resides in directory \alert{Exp\_Par}. First we mesh using the bamg method as follows: + + \lstinputlisting[firstnumber=11,firstline=11,lastline=20,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + + This creates a new model named \alert{md} and meshes the model domain at a resolution of 80000 m. + + +\end{frame} + +\begin{frame}{Mesh, 2/3}{Adapt} + + Next, adapt your mesh to SeaRISE velocities and thickness. The data resides in: + + \lstinputlisting[firstnumber=5,firstline=5,lastline=5,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + Adapt: + \small { + \begin{itemize} + + \item Fill \alert{md.inversion.vx\_obs}, \alert{md.inversion.vy\_obs}, and \alert{md.inversion.vel\_obs} with interpolated velocities + \item Fill \alert{md.geometry.thickness} with interpolated thickness + \item Mesh adapt your model (bamg) + \begin{itemize} + \item Use the fields \alert{md.inversion.vel\_obs} and \alert{md.geometry.thickness} + \item Set hmax=400000m and hmin=80000m + \end {itemize} + + \item Set model lat/long using SeaRISE projection information (see + projection information in \alert{Greenland\_5km\_dev1.2.nc} - Hint: in matlab you can use ndisp) + \item Save your model to a file + \end {itemize} + } + +\end{frame} + +\begin{frame}{Mesh, 3/3}{Check Your Work} + \vspace{1em} + Solution: + \lstinputlisting[firstnumber=39,firstline=39,lastline=45,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + Plot your mesh. It should look like: + + \center{ + \includegraphics[width=0.4\textwidth]{Mesh} + } + +\end{frame}%}}} + +\begin{frame}{Mesh}{ Full Solution}%{{{1 + + \lstinputlisting[firstnumber=22,firstline=22,lastline=45,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + +\end{frame}%}}} + +\section{Parameterization} + +\begin{frame}{Parameterization}%{{{1 + + Call the \alert{setmask} function with empty arguments and then parameterize your mesh with file \alert{Exp\_Par/Greenland.par}. + + \vspace{1em} + Read though the parameter file \alert{Exp\_Par/Greenland.par}, similar to your Jks par file. + \vspace{1em} + + NB: No function is called to define boundary conditions. Instead, set \alert{spc} velocities + explicitly to zero, ensuring non-singularity. + + \lstinputlisting[firstnumber=95,firstline=95,lastline=103,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{Exp_Par/Greenland.par} + +\end{frame}%}}} +\begin{frame}{Parameterization}{Solution}%{{{1 + \lstinputlisting[firstnumber=52,firstline=52,lastline=56,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + Plot thickness and velocity. + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/plotparam.m} + \vspace{1em} + They should look like: + + \center{ + \includegraphics[width=0.4\textwidth]{Init_thickness}\includegraphics[width=0.4\textwidth]{Init_vel} + } +\end{frame}%}}} + +\section{Control Method Solution} + +\begin{frame}\frametitle{Diagnostic}%{{{1 + \vspace{1em} + Use control methods to inversely solve for Greenland \alert{FrictionCoefficient} + \vspace{1em} + + Steps: + \begin{itemize} + + \item Set \alert{cost functions} + \begin{itemize} + \item log of surface velocity + \item drag coefficient gradient + \end{itemize} + \item Set \alert{cost functions coefficient} to 8*10\textsuperscript{-15} + \item Specify \alert{max inversion parameter} = 200, \alert{min inversion parameter} = 1 + \item Solve a 50-step Diagnostic in 2D, Macayeal + \item Copy result \alert{Vx}, \alert{Vy}, and \alert{Friction Coefficient} to model values + \item Save your model + \end{itemize} + \vspace{1em} + Startoff Code: + \lstinputlisting[firstnumber=62,firstline=62,lastline=69,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + NB: Remember that \alert{md.inversion} can be called for help! + +\end{frame}%}}} + +\begin{frame}{Diagnostic}{Solution}%{{{1 + \lstinputlisting[firstnumber=71,firstline=71,lastline=91,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + +\end{frame}%}}} + +\section{Transient Solution} + +\begin{frame}{Transient}{Forcing}%{{{1 + + You are ready to run a transient! + + \vspace{1em} + Simulate Greenland warming by forcing a temporal decrease in \alert{md.surfaceforcings.mass\_balance}: + + \includegraphics[width=0.9\textwidth]{Forcing_smb} + + \vspace{1em} + + Specify a transient forcing by adding a time value to the end (in the \alert{end+1} position) of the column of forcing variable values. For example, let \alert{smb} be the initial values of surface mass balance. To impose the forcing above: + + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/smb.m} + + \small{ + NB: Prior to first and after last imposed time, forcing values remain constant. Between imposed times, forcings are linearly interpolated. + } +\end{frame}%}}} + +\begin{frame}{Transient}{Solve}%{{{1 + Set up your transient + + \vspace{1em} + Steps: + \begin{itemize} + \item Set zero \alert{basal melting rate} + \item Interpolate surface mass balance from SeaRISE dataset + \item Impose SeaRise surface mass balance for 10 years then linearly decrease to 1 m/yr by year 20 + \item Set \alert{time step} to 0.2 and \alert{output frequency} to 1 + \item Solve a 20 year Transient in 2D, Macayeal + \item Save your model + \end{itemize} + \vspace{1em} + NB: Save the \alert{IceVolume} in your transient results for plotting later: + \lstinputlisting[firstnumber=118,firstline=118,lastline=118,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} +\end{frame}%}}} + +\begin{frame}{Transient}{Solution Setup}%{{{1 + \lstinputlisting[firstnumber=98,firstline=98,lastline=126,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + +\end{frame}%}}} + + +\section{Plot Results} + +\begin{frame}{Transient Results}{Plot Plan}%{{{1 + + \vspace{1em} + + Your results are located in \alert{md.results.TransientSolution}. Plot your results. + + \vspace{1em} + First, plot the initial plan view of velocity, surface mass balance, thickness, and surface in one row of three subplots. + + \vspace{1em} + They should look like: + + \center{ + \includegraphics[width=1.0\textwidth]{Transient_plan} + } +\end{frame} +%}}} +\begin{frame}{Plot}{Solution}%{{{1 + \lstinputlisting[firstnumber=134,firstline=134,lastline=142,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + \vspace{1em} + + Next, plot a timeseries of mean surface mass balance, mean velocity, and ice volume. Hint to plot mean surface mass balance results: + + \lstinputlisting[firstnumber=145,firstline=145,lastline=150,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} +\end{frame} +\begin{frame} + + \vspace{1em} + Your results should look like: + + \center{ + \includegraphics[width=0.9\textwidth]{Transient_line} + } +\end{frame} +%}}} + + +%Thanks slide{{{ +\usebackgroundtemplate{\includegraphics[width=\paperwidth,height=\paperheight]{Thanksbg}} +\begin{frame}[plain] + \ghostframe + \begin{center} + \vspace*{-0.1\paperheight} + \hspace*{-0.15\paperwidth}\Huge{Thanks!} + \end{center} + \note{Thank you very much for your attention} +\end{frame} +\usebackgroundtemplate{} +%}}} +\end{document} Index: /issm/workshop/2012/Talks/12_SeaRISE/Code/ex1.m =================================================================== --- /issm/workshop/2012/Talks/12_SeaRISE/Code/ex1.m (revision 14029) +++ /issm/workshop/2012/Talks/12_SeaRISE/Code/ex1.m (revision 14029) @@ -0,0 +1,3 @@ +md=model; +md=triangle(md,'Square.exp',50000); +plotmodel(md,'data','mesh'); Index: /issm/workshop/2012/Talks/12_SeaRISE/Code/plotparam.m =================================================================== --- /issm/workshop/2012/Talks/12_SeaRISE/Code/plotparam.m (revision 14029) +++ /issm/workshop/2012/Talks/12_SeaRISE/Code/plotparam.m (revision 14029) @@ -0,0 +1,2 @@ +>> plotmodel(md,'data',md.initialization.thickness); +>> plotmodel(md,'data',md.initialization.vel,'caxis',[1e-1 1e4],'log',10); Index: /issm/workshop/2012/Talks/12_SeaRISE/Code/smb.m =================================================================== --- /issm/workshop/2012/Talks/12_SeaRISE/Code/smb.m (revision 14029) +++ /issm/workshop/2012/Talks/12_SeaRISE/Code/smb.m (revision 14029) @@ -0,0 +1,2 @@ +>> md.surfaceforcings.mass_balance = [ smb smb-1]; +>> md.surfaceforcings.mass_balance = [ md.surfaceforcings.mass_balance; [10 20]]; Index: 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-2603641.2179629998 +97537.3791130000 -2587111.7405229998 +88380.7194580000 -2573587.6226180000 +74743.1412490000 -2567076.0102940002 +61105.5630390000 -2577093.8754090001 +66950.2394150000 -2594124.2461040001 +57598.7572140000 -2581101.0214539999 +53117.8386600000 -2598131.3921500002 +41818.1310010000 -2586610.8472679998 +30810.6571600000 -2599133.1786610000 +44253.4128240000 -2608650.1505200001 +47662.8073760000 -2621047.2585999998 + Index: /issm/workshop/2012/Talks/12_SeaRISE/Exp_Par/Greenland.par =================================================================== --- /issm/workshop/2012/Talks/12_SeaRISE/Exp_Par/Greenland.par (revision 14029) +++ /issm/workshop/2012/Talks/12_SeaRISE/Exp_Par/Greenland.par (revision 14029) @@ -0,0 +1,81 @@ +%Name and hemisphere +md.miscellaneous.name='SeaRISEgreenland'; +md.mesh.hemisphere='n'; + +disp(' Loading SeaRISE data from NetCDF'); +ncdata='Data/Greenland_5km_dev1.2.nc'; +x1 = ncread(ncdata,'x1'); +y1 = ncread(ncdata,'y1'); +usrf = ncread(ncdata,'usrf')'; +topg = ncread(ncdata,'topg')'; +velx = ncread(ncdata,'surfvelx')'; +vely = ncread(ncdata,'surfvely')'; +temp = ncread(ncdata,'airtemp2m')'; +smb = ncread(ncdata,'smb')'; +gflux = ncread(ncdata,'bheatflx')'; + +disp(' Interpolating surface and bedrock'); +md.geometry.bed = InterpFromGridToMesh(x1,y1,topg,md.mesh.x,md.mesh.y,0); +md.geometry.surface = InterpFromGridToMesh(x1,y1,usrf,md.mesh.x,md.mesh.y,0); + +disp(' Constructing thickness'); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; + +%Set min thickness to 1 meter +pos0=find(md.geometry.thickness<=0); +md.geometry.thickness(pos0)=1; +md.geometry.surface=md.geometry.thickness+md.geometry.bed; + +disp(' Interpolating velocities '); +md.inversion.vx_obs = InterpFromGridToMesh(x1,y1,velx,md.mesh.x,md.mesh.y,0); +md.inversion.vy_obs = InterpFromGridToMesh(x1,y1,vely,md.mesh.x,md.mesh.y,0); +md.inversion.vel_obs = sqrt(md.inversion.vx_obs.^2+md.inversion.vy_obs.^2); +md.initialization.vx = md.inversion.vx_obs; +md.initialization.vy = md.inversion.vy_obs; +md.initialization.vz = zeros(md.mesh.numberofvertices,1); +md.initialization.vel= md.inversion.vel_obs; + +disp(' Interpolating temperatures'); +md.initialization.temperature=InterpFromGridToMesh(x1,y1,temp,md.mesh.x,md.mesh.y,0)+273.15; + +disp(' Interpolating surface mass balance'); +md.surfaceforcings.mass_balance=InterpFromGridToMesh(x1,y1,smb,md.mesh.x,md.mesh.y,0); +md.surfaceforcings.mass_balance=md.surfaceforcings.mass_balance*md.materials.rho_water/md.materials.rho_ice; + +disp(' Construct basal friction parameters'); +md.friction.coefficient=30*ones(md.mesh.numberofvertices,1); +pos=find(md.mask.vertexonfloatingice); +md.friction.coefficient(pos)=0; %no friction applied on floating ice +md.friction.p=ones(md.mesh.numberofelements,1); +md.friction.q=ones(md.mesh.numberofelements,1); + +disp(' Construct ice rheological properties'); +md.materials.rheology_n=3*ones(md.mesh.numberofelements,1); +md.materials.rheology_B=paterson(md.initialization.temperature); +md.friction.q=ones(md.mesh.numberofelements,1); +md.friction.p=ones(md.mesh.numberofelements,1); + +disp(' Set other boundary conditions'); +md.diagnostic.icefront = [md.mesh.segments 1*ones(size(md.mesh.segments,1),1)]; +md.basalforcings.melting_rate = zeros(md.mesh.numberofvertices,1); +md.thermal.spctemperature = [md.initialization.temperature;1]; %impose observed temperature on surface +md.prognostic.spcthickness = NaN*ones(md.mesh.numberofvertices,1); + +disp(' Set geothermal heat flux'); +md.basalforcings.geothermalflux=InterpFromGridToMesh(x1,y1,gflux,md.mesh.x,md.mesh.y,0); + +disp(' Set Pressure'); +md.initialization.pressure=md.materials.rho_ice*md.constants.g*(md.geometry.surface-md.mesh.z); + +disp(' Single point constraint for continental model'); +%Set at least one vertex to velocity 0 so as to not get a singular problem (point on the wet peninsula) +md.diagnostic.referential=NaN*ones(md.mesh.numberofvertices,6); +md.diagnostic.spcvx = NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvy = NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvz = NaN*ones(md.mesh.numberofvertices,1); +location = 1.0e+06 *[.32011 -2.2039]; +[dist pos]=min(sqrt((md.mesh.x - location(1)).^2 + (md.mesh.y - location(2)).^2)); +md.diagnostic.spcvx(pos) = 0; +md.diagnostic.spcvy(pos) = 0; +md.diagnostic.spcvz(pos) = 0; + Index: /issm/workshop/2012/Talks/12_SeaRISE/Exp_Par/Jak_grounded.exp =================================================================== --- /issm/workshop/2012/Talks/12_SeaRISE/Exp_Par/Jak_grounded.exp (revision 14029) +++ /issm/workshop/2012/Talks/12_SeaRISE/Exp_Par/Jak_grounded.exp (revision 14029) @@ -0,0 +1,19 @@ +## Name:Jak_grouded +## Icon:0 +# Points Count Value +13 1.000000 +# X pos Y pos +-414397.6663804040 -2243466.6708395295 +-421486.9037621063 -2215731.3059818177 +-342860.8164377716 -2178965.8223332223 +-275835.2993744044 -2209281.2211311869 +-226210.6377024883 -2262816.9253914217 +-228144.0660793162 -2295067.3496445753 +-333193.6745536321 -2328607.7908678548 +-379595.9555975018 -2325382.7484425395 +-422775.8560133249 -2285392.2223686292 +-427287.1888925899 -2265396.9593316740 +-411819.7618779668 -2254431.8150856020 +-413108.7141291854 -2243466.6708395295 +-414397.6663804040 -2243466.6708395295 + Index: /issm/workshop/2012/Talks/12_SeaRISE/Exp_Par/Jak_outline.exp =================================================================== --- /issm/workshop/2012/Talks/12_SeaRISE/Exp_Par/Jak_outline.exp (revision 14029) +++ /issm/workshop/2012/Talks/12_SeaRISE/Exp_Par/Jak_outline.exp (revision 14029) @@ -0,0 +1,17 @@ +## Name:Jak +## Icon:0 +# Points Count Value +11 1.000000 +# X pos Y pos +-421561.7247949215 -2216716.3488182197 +-386019.6416099078 -2203459.4896082953 +-351446.8879663036 -2185999.2360147359 +-289086.6874689616 -2214129.6445821370 +-255160.1535196303 -2282353.9688088228 +-340138.0433165266 -2317597.8140254519 +-383306.1449952667 -2302506.6581698526 +-416391.9672407377 -2279120.5885137189 +-448056.7322601135 -2246463.4475331730 +-429126.8716234095 -2231167.6696134652 +-421561.7247949215 -2216716.3488182197 + Index: /issm/workshop/2012/Talks/12_SeaRISE/Makefile =================================================================== --- /issm/workshop/2012/Talks/12_SeaRISE/Makefile (revision 14029) +++ /issm/workshop/2012/Talks/12_SeaRISE/Makefile (revision 14029) @@ -0,0 +1,36 @@ +#Makefile for beamer +TARGET=12_SeaRISE + +export TEXINPUTS=$(JPL_SVN)/publications/templates/beamer/Theme/Pasadena//: +all: one + +one: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +complete: + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + #bibtex $(TARGET) + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +bib: + bibtex $(TARGET) + +links: + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/general/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/subtheme/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/ML/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/graphics/JPL/*.pdf . + +unlinks: + find . -maxdepth 1 -type l -print | xargs rm + +clean: + rm -f ${TARGET}.{dvi,ps,pdf,toc,log,aux,out,nav,snm,bbl,blg,vrb} + +allclean: + make clean + make unlinks Index: /issm/workshop/2012/Talks/12_SeaRISE/mcode.sty =================================================================== --- /issm/workshop/2012/Talks/12_SeaRISE/mcode.sty (revision 14029) +++ /issm/workshop/2012/Talks/12_SeaRISE/mcode.sty (revision 14029) @@ -0,0 +1,280 @@ +%% +%% This is file `mcode.sty' +%% +%% It is supposed to help you easily include MATLAB source code +%% into LaTeX document, but have it nicely highlighted, using +%% the great listings package. +%% +%% PLEASE NOTE that this package does nothing but save you from +%% figuring out some configurations in setting up the LISTINGS +%% package. ALL the work is done by that package! Thus, please +%% refer your questions to the listings package documentation. +%% +%% Usage: You have three ways of including your MATLAB code. As +%% environment, as inline object and directly from an external +%% file. +%% +%% 1) Environment: +%% +%% \begin{lstlisting} +%% YOUR CODE HERE +%% \end{lstlisting} +%% +%% +%% 2) Inline object: +%% +%% Bla bla \mcode{CODEFRAGMENT} bla bla. +%% +%% +%% 3) Include external file (in environment form) +%% +%% \lstinputlisting{YOUR-FILE.m} +%% +%% +%% For your convenience this package has the following options: +%% +%% - bw if you intend to print the document (highlighting done +%% via text formatting (bold, italic) and shades of gray) +%% +%% - numbered if you want line numbers +%% +%% - autolinebreaks if you want the package to automatically +%% wrap your code. This is buggy as it may well break +%% break syntax and it doesn't work well with comments. +%% You REALLY should wrap your code manually. +%% +%% - useliterate if you want some characters / relations in +%% your code to be replace with something more readable. +%% Example: ~= becomes $\neq$, >= becomes $\geq$, delta +%% becomes $\delta$ and so on. +%% +%% - framed if you want a frame around the source code blocks +%% +%% - final if you have ``gloablly'' set the draft option, the +%% listings package will not output the code at all. to +%% force it to do so anyway, load this package with the +%% final option (passes the ``final'' on to listings). +%% +%% For example, you may use \usepackage[numbered,framed]{mcode} +%% in your document preamble. +%% +%% Note: Inside code blocks you can escape to LaTeX text mode +%% using §...§. For ex. §text and some math: $x^2$§, which is +%% especially useful in comments for putting nicely typeset +%% equations etc. To get the same colour/style as in the rest +%% of the comment use \mcommentfont, i.e. §\mcommentfont $x^2$§ +%% +%% To change the font used, edit the first line in the "custo- +%% mise below" section. And feel free to edit other things as +%% well. Refer to the documentation of the listings package to +%% see what else you could do. If an extra small font is re- +%% quired, use {\fontfamily{pcr}\fontsize{3}{4.6}\selectfont} +%% in the definition of \lstbasicfont. +%% +%% Author: +%% Florian Knorn | florian@knorn.org | www.florian-knorn.com +%% +%% Version history: +%% 2.2 -- Bugfix (thanks Willi Gerbig!) +%% 2.1 -- Finally automatic detection between end and end +%% 2.0 -- New options for line breaking and literate prog. +%% 1.8 -- Fixed typo in documentation regarding §...§ +%% 1.7 -- Added MATLAB block comment syntax %{ ...... %} +%% 1.6 -- Added some infos, dealing with keyword ``end'' +%% 1.5 -- Tweaked check to see wether textcomp is loaded +%% 1.4 -- Fixed misconfig (mathescape now set to false) +%% 1.3 -- Purely cosmetic (tabs replaced by spaces) +%% 1.2 -- Added \lstset{showstringspaces=false} +%% 1.1 -- Added \mcode command and [final] option +%% 1.0 -- Release + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% D O N ' T T O U C H T H I S % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\fileversion{2.2} +\def\filedate{2011/08/26} + +\typeout{-- Package: `mcode' \fileversion\space <\filedate> --} +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mcode}[\filedate\space\fileversion] + +% for bw-option +\newif\ifbw +\DeclareOption{bw}{\bwtrue} + +% numbered option +\newif\ifnumbered +\DeclareOption{numbered}{\numberedtrue} + +% final option +\newif\iffinal +\DeclareOption{final}{\finaltrue} + +% autolinebreaks option +\newif\ifautolinebreaks +\DeclareOption{autolinebreaks}{\autolinebreakstrue} + +% literate programming (replace certain characters/relations +\newif\ifuseliterate +\DeclareOption{useliterate}{\useliteratetrue} + +% framed option +\newif\ifframed +\DeclareOption{framed}{\framedtrue} + +\DeclareOption*{% default + \PackageWarning{mcode}{Unknown option `\CurrentOption' !}% +} +\ProcessOptions + +\ifbw\typeout{ - settings optimized for printing (bw formating)} +\else\typeout{ - settings optimized for display (colour formating)}\fi +\ifnumbered\typeout{ - line numbering enabled}\else\fi +\ifuseliterate\typeout{ - literate programming (character replacements) enabled}\else\fi +\ifautolinebreaks\typeout{ - automatic line breaking enabled (careful, buggy!)}\else\fi +\ifframed\typeout{ - framed listings}\else\fi + +% This command allows you to typeset syntax highlighted Matlab +% code ``inline''. The font size \small seems to look best... +\newcommand{\mcode}[1]{\lstinline[basicstyle=\lstbasicfont\small]|#1|} + +% check if color command exists +\ifx\color\undefined% + \RequirePackage{xcolor}% +\fi + +% check if listings has been loaded +\ifx\lstset\undefined% + \iffinal + \RequirePackage[final]{listings} + \else + \RequirePackage{listings} + \fi +\fi + +% Check if textcomp has been loaded (this package is needed for +% upright quotes '' (instead of typographic ones `´)... +\ifx\textquotesingle\undefined% + \RequirePackage{textcomp}% +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% C U S T O M I S E B E L O W % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% --------------------------------------------------------------------------------- +% default font +\def\lstbasicfont{\fontfamily{pcr}\selectfont\footnotesize} + +% --------------------------------------------------------------------------------- +% matlat languate definition +\lstdefinelanguage{matlabfloz}{% + alsoletter={...},% + morekeywords={% % keywords + break,case,catch,continue,elseif,else,end,for,function,global,% + if,otherwise,persistent,return,switch,try,while,...},% + comment=[l]\%, % comments + morecomment=[l]..., % comments + morecomment=[s]{\%\{}{\%\}}, % block comments + morestring=[m]' % strings +}[keywords,comments,strings]% + +% --------------------------------------------------------------------------------- +% general definitions +\lstset{% + basicstyle={\lstbasicfont}, % set font + showstringspaces=false, % do not emphasize spaces in strings + tabsize=3, % number of spaces of a TAB + mathescape=false,escapechar=§, % escape to latex with §...§ + upquote=true, % upright quotes + aboveskip={1.5\baselineskip}, % a bit of space above listings + columns=fixed % nice spacing +} + +% --------------------------------------------------------------------------------- +% define colours and styles +\ifbw % use font formating and gray 'colors' + \def\mcommentfont{\color[gray]{.75}\itshape} %comments light gray and italic + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\bfseries, % keywords in bold + commentstyle=\mcommentfont, % comments + stringstyle=\color[gray]{0.5} % strings darker gray + } +\else% notbw => use colors : ) + \def\mcommentfont{\color[rgb]{.133,.545,.133}} %comments in green + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\color[rgb]{0,0,1}, % keywords in blue + commentstyle=\mcommentfont, % comments + stringstyle=\color[rgb]{.627,.126,.941} % strings in purple + } +\fi%bw + +% --------------------------------------------------------------------------------- +% automatic line breaking --- warning, this is buggy and +% doesn't break comments correctly! +\ifautolinebreaks + \newsavebox{\lbreakdots}\sbox{\lbreakdots}{\lstbasicfont\mcommentfont...} + \lstset{breaklines=true,breakatwhitespace=true,prebreak=\usebox{\lbreakdots}} +\fi + +% --------------------------------------------------------------------------------- +% literate replacements +% the following is for replacing some matlab relations like >= or ~= +% by the corresponding LaTeX symbols, which are much easier to read ... +\ifuseliterate + \lstset{% + literate=% + {~}{{$\neg$}}1 % \neg + {<=}{{\tiny$\leq$}}1 % \leq + {>=}{{\tiny$\geq$}}1 % \geq + {~=}{{\tiny$\neq$}}1 % \neq + {delta}{{\tiny$\Delta$}}1 % \Delta + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\else + \lstset{% + literate=% + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\fi%literates + +% --------------------------------------------------------------------------------- +% line numbering +\ifnumbered% numbered option + \lstset{% + numbersep=3mm, numbers=left, numberstyle=\tiny, % number style + } +\fi + +\ifframed% framed option + \lstset{% + frame=single, % frame + } + \ifnumbered% + \lstset{% + framexleftmargin=6mm, xleftmargin=6mm % tweak margins + } + \fi +\fi + +\endinput +%% End of file `mcode.sty'. Index: /issm/workshop/2012/Talks/12_SeaRISE/runme.m =================================================================== --- /issm/workshop/2012/Talks/12_SeaRISE/runme.m (revision 14029) +++ /issm/workshop/2012/Talks/12_SeaRISE/runme.m (revision 14029) @@ -0,0 +1,144 @@ +clear all; +steps=[1:5]; + +%Location of SeaRISE dataset +ncdata='./Data/Greenland_5km_dev1.2.nc'; + +if any(steps==1) + disp(' Step 1: Mesh creation'); + + %Generate initial uniform mesh (resolution = 20000 m) + md=triangle(model,'./Exp_Par/DomainOutline.exp',20000); + + % Get velocities (Note: You can use ncdisp('file') to see an ncdump) + x1 = ncread(ncdata,'x1'); + y1 = ncread(ncdata,'y1'); + velx = ncread(ncdata,'surfvelx'); + vely = ncread(ncdata,'surfvely'); + vx = InterpFromGridToMesh(x1,y1,velx',md.mesh.x,md.mesh.y,0); + vy = InterpFromGridToMesh(x1,y1,vely',md.mesh.x,md.mesh.y,0); + vel = sqrt(vx.^2+vy.^2); + + %Mesh Greenland + md=bamg(md,'hmax',400000,'hmin',5000,'gradation',1.7,'field',vel,'err',8); + plotmodel (md,'data','mesh'); + + %convert x,y coordinates (Polar stereo) to lat/lon + [md.mesh.lat,md.mesh.long]=xy2ll(md.mesh.x,md.mesh.y,+1,39,71); + + save ./Models/Greenland.Mesh_generation md; +end + +if any(steps==2) + disp(' Step 2: Parameterization'); + md = loadmodel('./Models/Greenland.Mesh_generation'); + + md = setmask(md,'',''); + md = parameterize(md,'./Exp_Par/Greenland.par'); + md = setflowequation(md,'macayeal','all'); + + save ./Models/Greenland.Parameterization md; +end + +if any(steps==3) + disp(' Step 3: Control method friction'); + md = loadmodel('./Models/Greenland.Parameterization'); + + %Control general + md.inversion.iscontrol=1; + md.inversion.nsteps=30; + md.inversion.step_threshold=0.99*ones(md.inversion.nsteps,1); + md.inversion.maxiter_per_step=5*ones(md.inversion.nsteps,1); + md.verbose=verbose('solution',true,'control',true); + + %Cost functions + md.inversion.cost_functions=[101*ones(md.inversion.nsteps,1) 103*ones(md.inversion.nsteps,1) 501*ones(md.inversion.nsteps,1)]; + md.inversion.cost_functions_coefficients=ones(md.mesh.numberofvertices,3); + md.inversion.cost_functions_coefficients(:,1)=350; + md.inversion.cost_functions_coefficients(:,2)=0.6; + md.inversion.cost_functions_coefficients(:,3)=2e-6; + + %Controls + md.inversion.control_parameters={'FrictionCoefficient'}; + md.inversion.gradient_scaling(1:md.inversion.nsteps)=50; + md.inversion.min_parameters=1*ones(md.mesh.numberofvertices,1); + md.inversion.max_parameters=200*ones(md.mesh.numberofvertices,1); + + %Additional parameters + md.diagnostic.restol=0.01; + md.diagnostic.reltol=0.1; + md.diagnostic.abstol=NaN; + + %Go solve + md.cluster=generic('name',oshostname,'np',2); + md.solver=addoptions(md.solver,NoneAnalysisEnum,asmoptions); + md.solver=addoptions(md.solver,DiagnosticVertAnalysisEnum,jacobiasmoptions); + md.verbose=verbose('solution',true,'control',true); + md=solve(md,DiagnosticSolutionEnum); + + %Update model friction fields accordingly + md.friction.coefficient=md.results.DiagnosticSolution.FrictionCoefficient; + + save ./Models/Greenland.Control_drag md; +end + +if any(steps==4) + disp(' Step 4: Transient run'); + md = loadmodel('./Models/Greenland.Control_drag'); + + %Set surface mass balance + x1 = ncread(ncdata,'x1'); + y1 = ncread(ncdata,'y1'); + smb = ncread(ncdata,'smb'); + smb = InterpFromGridToMesh(x1,y1,smb',md.mesh.x,md.mesh.y,0)*1000/md.materials.rho_ice; + smb = [smb smb smb-1.0]; + md.surfaceforcings.mass_balance = [smb;1 10 20]; + + %Set transient options, run for 20 years, saving every year + md.timestepping.time_step=0.2; + md.timestepping.final_time=20; + md.settings.output_frequency=1; + + %Additional options + md.inversion.iscontrol=0; + md.transient.requested_outputs=IceVolumeEnum(); + md.verbose=verbose('solution',true,'module',true,'convergence',true); + + %Go solve + md.cluster=generic('name',oshostname,'np',2); + md=solve(md,TransientSolutionEnum); + + save ./Models/Greenland.Transient md; +end + +if any(steps==5) + disp(' Step 5: Plotting'); + md = loadmodel('./Models/Greenland.Transient'); + + %Planview plots + plotmodel(md,'data',md.results.TransientSolution(end).Vel,'caxis',[1e-1 6000],... + 'log', 10, 'title', 'Velocity (m/y)','gridded',1, ... + 'data', md.results.TransientSolution(1).SurfaceforcingsMassBalance, ... + 'title', 'Surface mass balance (m/y)', 'gridded',1,... + 'data',md.results.TransientSolution(end).Thickness,... + 'title','Thickness (m)', 'gridded',1, ... + 'data',md.results.TransientSolution(end).Surface, ... + 'title', 'Surface (m)', 'gridded',1); + + %Line Plots + figure + + %Plot surface mass balance + surfmb=[]; for i=1:100; surfmb=[surfmb ... + md.results.TransientSolution(i).SurfaceforcingsMassBalance]; end + subplot(3,1,1); plot([0.2:0.2:20],mean(surfmb)); title('Mean Surface mass balance'); + + %Plot velocity + vel=[]; for i=1:100; vel=[vel md.results.TransientSolution(i).Vel]; end + subplot(3,1,2); plot([0.2:0.2:20],mean(vel)); title('Mean Velocity'); + + %Plot Volume + volume=[]; for i=1:100; volume=[volume md.results.TransientSolution(i).IceVolume]; end + subplot(3,1,3); plot([0.2:0.2:20],volume); title('Ice Volume'); + xlabel('years') +end Index: /issm/workshop/2012/Talks/13_IceBridge/13_IceBridge.tex =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/13_IceBridge.tex (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/13_IceBridge.tex (revision 14029) @@ -0,0 +1,307 @@ +%Preamble {{{ +\documentclass[9pt,notes=hide]{beamer} % Document class: beamer %8 pts is also a good option +\usetheme[jpl,headstyle=institute,fnolabel=,sidebar=.15\paperwidth,footstyle=low,footsep={ $\cdot$ },TPomitframeno]{Pasadena} +\useinnertheme{MLHacks} % ISSM bonuses (ghostframes for example) +\usepackage[T1]{fontenc} % T1 encoding is better for foreign langages +\usepackage{aeguill,aecompl} % Virtual fonts +\usepackage{amsmath,amssymb,amsfonts}% Mathematical symbols (useful for equations) +\usepackage{bm} % maths letters, real = IR +\usepackage{xcolor} % We can define new colors +\usepackage{graphicx} % Include pictures +\usepackage{times} % Use Times Font instead of default +\usepackage{appendixnumberbeamer} +\usepackage[framed,numbered,autolinebreaks,useliterate]{mcode} +\usepackage{booktabs} %nice tables (toprule, bottomrule,...) +\graphicspath{ % directories where the pictures are located +{Images/} +} +\hypersetup{pdfstartview={Fit}} % Acrobat reader: open fit to screen + +\setbeamercovered{transparent} %invisible, transparent, dynamic, highly dynamic +%}}} +%Newcommands {{{ +%%Automatically insert outline slide at the begining of each new section (very nice!) +%\AtBeginSection[]{ +%\begin{frame} +% \ghostframe %do not count slide +% \frametitle{Outline} % title of the slide +% \tableofcontents[currentsection] +%\end{frame} +%} +%}}} +%Presentation properties{{{ +%between brackets []: shown on headers and footers of every slide (must be short) +%between parenthesis (): shown on title page only (long) +\title[Application IceBridge]{Ice Sheet System model} +\subtitle{Application to IceBridge dataset, Greenland Ice Sheet} +\author[Larour et al.]{ +Eric \textsc{Larour}\inst{1}, +Eric \textsc{Rignot}\inst{1,2}, +Mathieu \textsc{Morlighem}\inst{2}, +H\'el\`ene \textsc{Seroussi}\inst{1} +Nicole \textsc{Schlegel}\inst{1}, +Chris \textsc{Borstad}\inst{1}, +Feras \textsc{Habbal}\inst{1,2}, +Daria \textsc{Halkides}\inst{1,3}, +Gilberto \textsc{Perez}\inst{1}, +John \textsc{Schiermeier}\inst{1}, +\textbf{Michiel \textsc{Helsen}}\inst{2} +\vspace{1em} +} +\institute[Jet Propulsion Laboratory]{ +\inst{1}Jet Propulsion Laboratory - California Institute of Technology\\ +\inst{2}University of California, Irvine\\ +\inst{3}Joint Institute for Regional Earth System Science \& Engineering, UCLA +} +\conference[ISSM Workshop 2012]{ISSM Workshop 2012} +\date[]{\hspace{-15em}December 2012\hspace{3em}\copyright Copyright 2012. All rights reserved} +\logo{\includegraphics[width=8em]{ISSMlogo}} +%}}} + +\begin{document} + +%Title slide %{{{ +\begin{frame}[plain] %No headers or footers + %Do not change, this page is automatically generated + \ghostframe + \titlepage +\end{frame} %}}} +\begin{frame}{Overview}%{{{ + \tableofcontents +\end{frame}%}}} + +\section{Introduction} + +%Everything that follows is an example talk... Nicole's from last year + +\begin{frame}{Goals}%{{{ + + Use your new ISSM skills to adjust a coarse Greenland model by adding IceBridge data. + + We refine the mesh in the Jakobshavn basin and add higher resolution bedrock and surface + elevation data from IceBridge in this area. + \vspace{1em} + + Steps: + \small{ + \begin{itemize} + \item Refine Greenland mesh using given Jakobshavn outline + \item Parameterize, include the IceBridge/CReSIS bedrock and surface data + \item Plot bedrock and surface data + \item Diagnostic: run 2 inverse method runs to solve for control drag (20 steps recommended) + \item Transient: run 20 year runs, with coarse and refined bedrock and surface elevation data + \item Plot transient results + \end{itemize} + } + \vspace{2em} + +\end{frame}%}}} + +\section{Mesh} + +\begin{frame}{First Run Step: Mesh}%{{{ + We modify the experiment from the Greenland SeaRISE talk, and improve from there. + First, run the first step in \alert{runme.m} in directory \alert{13\_IceBridge} to mesh the Greenland + domain as done in the previous talk, and plot the result. + \vspace{1em} + + Step 1 is interrupted after making the default mesh. + \vspace{1em} + + We want to refine the mesh in the Jakobshavn area. An outline of this area + \alert{Jak\_outline.exp} can be found in directory \alert{Exp\_Par}. + \vspace{1em} + + Try using \alert{exptool} to view this outline: + + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/exptool.m} +\end{frame}%}}} + +\begin{frame}{Mesh, 2/6}{Adapt}%{{{ + It should look like this: + \center{ + \includegraphics[width=0.4\textwidth]{13_Mesh1.pdf} + } +\end{frame}%}}} + +\begin{frame}{Mesh, 3/6}{Adapt}%{{{ + Next, modify the bamg command by imposing a 1 km resolution within the Jakobshavn area: use \alert{hmaxVertices}. + \vspace{1em} + + Note that you need to deactivate the previous \alert{bamg} command. + \vspace{1em} + + Check your results using \alert{plotmodel}. +\end{frame}%}}} + +\begin{frame}{Mesh, 4/6}{Check your work}%{{{ + Solution: + + \lstinputlisting[firstnumber=27,firstline=27,lastline=36,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} +\end{frame}%}}} + +\begin{frame}{Mesh, 5/6}{Adapt}%{{{ + Solution: + \center{ + \includegraphics[width=0.4\textwidth]{13_Mesh2.pdf} + } + \vspace{1em} + + Try \alert{zoom} to make a close-up of the Jakobshavn domain. +\end{frame}%}}} + +\begin{frame}{Mesh, 6/6}{ Full Solution}%{{{ + + \lstinputlisting[firstnumber=22,firstline=22,lastline=42,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + +\end{frame}%}}} + +\section{Parameterization} + +\begin{frame}{Parameterization}%{{{ + + We want to include high-resolution bedrock and surface elevation data acquired in the IceBridge + mission. Accessible on: + \vspace{1em} + + https://data.cresis.ku.edu/data/grids/ + \alert{Jakobshavn\_2008\_2011\_Composite\_XYZGrid.txt} + \vspace{1em} + + \includegraphics[width=0.6\textwidth]{Jakobshavn_2008_2011_Composite_Bottom_Preview.png} +\end{frame}%}}} + +\begin{frame}{Parameterization, 2/6}%{{{ + Bedrock data is read, transformed into a usable grid, and interpolated to the mesh in the parameter + file \alert{Exp\_Par/Greenland.par}: + \lstinputlisting[firstnumber=30,firstline=30,lastline=47,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{Exp_Par/Greenland.par} + + Modify \alert{Greenland.par} such that the surface elevation data is also included for the + Jakobshavn area. + +\end{frame}%}}} + +\begin{frame}{Parameterization, 3/6}{Solution}%{{{ + \lstinputlisting[firstnumber=30,firstline=30,lastline=52,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{Exp_Par/Greenland_solution.par} + Plot surface elevation, thickness and bedrock. +\end{frame}%}}} + +\begin{frame}{Parameterization, 4/6}{Solution}%{{{ + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/plotparam.m} + They should look like: + + \center{ + \includegraphics[width=0.3\textwidth]{13_init_surface.pdf}\includegraphics[width=0.3\textwidth]{13_init_thickness.pdf}\includegraphics[width=0.3\textwidth]{13_init_bed.pdf} + } +\end{frame}%}}} + +\begin{frame}{Parameterization, 5/6}{Solution}%{{{ + To plot the difference in bed topography between the SeaRISE and IceBridge datasets: + modify the parameterization step in your runme and save the model under a different name. + + a difference in fields can be plotted using: + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/plotdifbed.m} + + +\end{frame}%}}} + +\begin{frame}{Parameterization, 6/6}{Solution}%{{{ + + a difference in fields can be plotted using: + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/plotdifbed.m} + + \includegraphics[width=0.4\textwidth]{13_Jakdifbed.pdf} + +\end{frame}%}}} + +\section{Control Method Solution} + +\begin{frame}\frametitle{Diagnostic}%{{{ + \vspace{1em} + Use control methods to inversely solve for Greenland friction coefficient + \vspace{1em} + Comparable to 12\_SeaRISE experiment + + \includegraphics[width=0.4\textwidth]{13_vel_obs.pdf} + + The observed velocity map contains some gaps; exclude these from the inversion by creating + a new exp file that outlines the gaps in the velocity data, using \alert{exptool}: + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/exptool2.m} +\end{frame}%}}} + +\begin{frame}\frametitle{Diagnostic, 2/3}%{{{ + \lstinputlisting[firstnumber=78,firstline=78,lastline=80,basicstyle=\lstbasicfont\scriptsize,numberstyle=\tiny,tabsize=1]{runme.m} + + Next, run the model and plot the resulting friction coefficient and velocity pattern + + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/plotinversion.m} + +\end{frame}%}}} + +\begin{frame}\frametitle{Diagnostic, 3/3}%{{{ + \lstinputlisting[basicstyle=\lstbasicfont\scriptsize]{Code/plotinversion.m} + \includegraphics[width=0.4\textwidth]{13_FrictCoef.pdf}\includegraphics[width=0.4\textwidth]{13_Vel.pdf} + +\end{frame}%}}} + +\section{Transient Solution} + +\begin{frame}{Transient}{Forcing}%{{{ + + Do a transient run.. + + \vspace{1em} + +% \includegraphics[width=0.9\textwidth]{Forcing_smb} + +\end{frame}%}}} + +\section{Plot Results} + +\begin{frame}{Transient Results}{Plot Plan}%{{{ + + \vspace{1em} + + Your results are located in \alert{md.results.TransientSolution}. Plot your results. + + \vspace{1em} + First, plot the initial plan view of velocity, surface mass balance, thickness, and surface. + + They should look like: + + \includegraphics[width=0.6\textwidth]{13_Transient_plan.pdf} +\end{frame} +%}}} + +\begin{frame}{Transient Results}{Plot time series}%{{{ + They should look like: + \includegraphics[width=0.8\textwidth]{13_time_series.pdf} +\end{frame} +%}}} + +\begin{frame}{Transient Results}{}%{{{ + Some suggestions what to explore further: + \begin{itemize} + \item How would you make a plot of time series of results from the SeaRISE and + IceBridge experiments? + \item How would you make a plot of the difference between final and initial ice thickness? + \item ... + \end{itemize} + We can help you to implement your own ideas in the code. +\end{frame} +%}}} + +%Thanks slide{{{ +\usebackgroundtemplate{\includegraphics[width=\paperwidth,height=\paperheight]{Thanksbg}} +\begin{frame}[plain] + \ghostframe + \begin{center} + \vspace*{-0.1\paperheight} + \hspace*{-0.15\paperwidth}\Huge{Thanks!} + \end{center} + \note{Thank you very much for your attention} +\end{frame} +\usebackgroundtemplate{} +%}}} + +\end{document} Index: /issm/workshop/2012/Talks/13_IceBridge/Code/ex1.m =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Code/ex1.m (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Code/ex1.m (revision 14029) @@ -0,0 +1,3 @@ +md=model; +md=triangle(md,'Square.exp',50000); +plotmodel(md,'data','mesh'); Index: /issm/workshop/2012/Talks/13_IceBridge/Code/exptool.m =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Code/exptool.m (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Code/exptool.m (revision 14029) @@ -0,0 +1,1 @@ +>> exptool('Exp_Par/Jak_outline.exp'); Index: /issm/workshop/2012/Talks/13_IceBridge/Code/exptool2.m =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Code/exptool2.m (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Code/exptool2.m (revision 14029) @@ -0,0 +1,1 @@ +>> exptool('Exp_Par/data_gaps.exp'); Index: /issm/workshop/2012/Talks/13_IceBridge/Code/plotdifbed.m =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Code/plotdifbed.m (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Code/plotdifbed.m (revision 14029) @@ -0,0 +1,3 @@ +>> md2=loadmodel('Models/Greenland.parameterization2'); +>> md=loadmodel('Models/Greenland.parameterization'); +>> plotmodel(md,'data',md.geometry.bed-md2.geometry.bed); Index: /issm/workshop/2012/Talks/13_IceBridge/Code/plotinversion.m =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Code/plotinversion.m (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Code/plotinversion.m (revision 14029) @@ -0,0 +1,3 @@ +>> plotmodel(md,'data',md.results.DiagnosticSolution.FrictionCoefficient); +>> plotmodel(md,'data',md.results.DiagnosticSolution.Vel,... + 'log',10,'caxis',[0.5 5000]); Index: /issm/workshop/2012/Talks/13_IceBridge/Code/plotparam.m =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Code/plotparam.m (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Code/plotparam.m (revision 14029) @@ -0,0 +1,3 @@ +>> plotmodel(md,'data',md.geometry.surface); +>> plotmodel(md,'data',md.geometry.thickness); +>> plotmodel(md,'data',md.geometry.bed); Index: /issm/workshop/2012/Talks/13_IceBridge/Code/smb.m =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Code/smb.m (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Code/smb.m (revision 14029) @@ -0,0 +1,2 @@ +>> md.surfaceforcings.mass_balance = [ smb smb-1]; +>> md.surfaceforcings.mass_balance = [ md.surfaceforcings.mass_balance; [10 20]]; Index: /issm/workshop/2012/Talks/13_IceBridge/Data/Jakobshavn_2008_2011_Composite_XYZGrid.txt =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Data/Jakobshavn_2008_2011_Composite_XYZGrid.txt (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Data/Jakobshavn_2008_2011_Composite_XYZGrid.txt (revision 14029) @@ -0,0 +1,266400 @@ +-2170250.000000,-229750.000000,-9999.00,-9999.00,-9999.00 +-2170750.000000,-229750.000000,-9999.00,-9999.00,-9999.00 +-2171250.000000,-229750.000000,-9999.00,-9999.00,-9999.00 +-2171750.000000,-229750.000000,-9999.00,-9999.00,-9999.00 +-2172250.000000,-229750.000000,-9999.00,-9999.00,-9999.00 +-2172750.000000,-229750.000000,-9999.00,-9999.00,-9999.00 +-2173250.000000,-229750.000000,-9999.00,-9999.00,-9999.00 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+92277.1703750000 -2603641.2179629998 +97537.3791130000 -2587111.7405229998 +88380.7194580000 -2573587.6226180000 +74743.1412490000 -2567076.0102940002 +61105.5630390000 -2577093.8754090001 +66950.2394150000 -2594124.2461040001 +57598.7572140000 -2581101.0214539999 +53117.8386600000 -2598131.3921500002 +41818.1310010000 -2586610.8472679998 +30810.6571600000 -2599133.1786610000 +44253.4128240000 -2608650.1505200001 +47662.8073760000 -2621047.2585999998 + Index: /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Greenland.par =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Greenland.par (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Greenland.par (revision 14029) @@ -0,0 +1,103 @@ +%Name and hemisphere +md.miscellaneous.name='SeaRISEgreenland'; +md.mesh.hemisphere='n'; + +disp(' Loading SeaRISE data from NetCDF'); +ncdata='Data/Greenland_5km_dev1.2.nc'; +x1 = ncread(ncdata,'x1'); +y1 = ncread(ncdata,'y1'); +usrf = ncread(ncdata,'usrf')'; +topg = ncread(ncdata,'topg')'; +velx = ncread(ncdata,'surfvelx')'; +vely = ncread(ncdata,'surfvely')'; +temp = ncread(ncdata,'airtemp2m')'; +smb = ncread(ncdata,'smb')'; +gflux = ncread(ncdata,'bheatflx')'; + +disp(' Interpolating surface and bedrock'); +md.geometry.bed = InterpFromGridToMesh(x1,y1,topg,md.mesh.x,md.mesh.y,0); +md.geometry.surface = InterpFromGridToMesh(x1,y1,usrf,md.mesh.x,md.mesh.y,0); + +disp(' Constructing thickness'); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; + +%Set min thickness to 1 meter +pos0=find(md.geometry.thickness<=0); +md.geometry.thickness(pos0)=1; +md.geometry.surface=md.geometry.thickness+md.geometry.bed; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%Reading IceBridge data for Jakobshavn +disp(' reading IceBridge Jakobshavn bedrock'); +fid = fopen('Data/Jakobshavn_2008_2011_Composite_XYZGrid.txt'); +data = fscanf(fid,'%g,%g,%g,%g,%g',[5 266400])'; +fclose(fid); + +[xi,yi]= ll2xy(md.mesh.lat,md.mesh.long,+1,45,70); +bed = flipud(reshape(data(:,5),[360 740])); bed(find(bed==-9999))=NaN; +bedy = flipud(reshape(data(:,1),[360 740])); +bedx = flipud(reshape(data(:,2),[360 740])); + +%Insert Icebridge bed and recalculate thickness +bed_jks=InterpFromGridToMesh(bedx(1,:)',bedy(:,1),bed,xi,yi,NaN); +in=ContourToMesh(md.mesh.elements,md.mesh.x,md.mesh.y,... + './Exp_Par/Jak_grounded.exp','node',1); +bed_jks(~in)=NaN; +pos=find(~isnan(bed_jks)); +md.geometry.bed(pos)=bed_jks(pos); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +disp(' Interpolating velocities '); +md.inversion.vx_obs = InterpFromGridToMesh(x1,y1,velx,md.mesh.x,md.mesh.y,0); +md.inversion.vy_obs = InterpFromGridToMesh(x1,y1,vely,md.mesh.x,md.mesh.y,0); +md.inversion.vel_obs = sqrt(md.inversion.vx_obs.^2+md.inversion.vy_obs.^2); +md.initialization.vx = md.inversion.vx_obs; +md.initialization.vy = md.inversion.vy_obs; +md.initialization.vz = zeros(md.mesh.numberofvertices,1); +md.initialization.vel= md.inversion.vel_obs; + +disp(' Interpolating temperatures'); +md.initialization.temperature=InterpFromGridToMesh(x1,y1,temp,md.mesh.x,md.mesh.y,0)+273.15; + +disp(' Interpolating surface mass balance'); +md.surfaceforcings.mass_balance=InterpFromGridToMesh(x1,y1,smb,md.mesh.x,md.mesh.y,0); +md.surfaceforcings.mass_balance=md.surfaceforcings.mass_balance*md.materials.rho_water/md.materials.rho_ice; + +disp(' Construct basal friction parameters'); +md.friction.coefficient=30*ones(md.mesh.numberofvertices,1); +pos=find(md.mask.vertexonfloatingice); +md.friction.coefficient(pos)=0; %no friction applied on floating ice +md.friction.p=ones(md.mesh.numberofelements,1); +md.friction.q=ones(md.mesh.numberofelements,1); + +disp(' Construct ice rheological properties'); +md.materials.rheology_n=3*ones(md.mesh.numberofelements,1); +md.materials.rheology_B=paterson(md.initialization.temperature); +md.friction.q=ones(md.mesh.numberofelements,1); +md.friction.p=ones(md.mesh.numberofelements,1); + +disp(' Set other boundary conditions'); +md.diagnostic.icefront = [md.mesh.segments 1*ones(size(md.mesh.segments,1),1)]; +md.basalforcings.melting_rate = zeros(md.mesh.numberofvertices,1); +md.thermal.spctemperature = [md.initialization.temperature;1]; %impose observed temperature on surface +md.prognostic.spcthickness = NaN*ones(md.mesh.numberofvertices,1); + +disp(' Set geothermal heat flux'); +md.basalforcings.geothermalflux=InterpFromGridToMesh(x1,y1,gflux,md.mesh.x,md.mesh.y,0); + +disp(' Set Pressure'); +md.initialization.pressure=md.materials.rho_ice*md.constants.g*(md.geometry.surface-md.mesh.z); + +disp(' Single point constraint for continental model'); +%Set at least one vertex to velocity 0 so as to not get a singular problem (point on the wet peninsula) +md.diagnostic.referential=NaN*ones(md.mesh.numberofvertices,6); +md.diagnostic.spcvx = NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvy = NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvz = NaN*ones(md.mesh.numberofvertices,1); +location = 1.0e+06 *[.32011 -2.2039]; +[dist pos]=min(sqrt((md.mesh.x - location(1)).^2 + (md.mesh.y - location(2)).^2)); +md.diagnostic.spcvx(pos) = 0; +md.diagnostic.spcvy(pos) = 0; +md.diagnostic.spcvz(pos) = 0; + Index: /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Greenland_solution.par =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Greenland_solution.par (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Greenland_solution.par (revision 14029) @@ -0,0 +1,107 @@ +%Name and hemisphere +md.miscellaneous.name='SeaRISEgreenland'; +md.mesh.hemisphere='n'; + +disp(' Loading SeaRISE data from NetCDF'); +ncdata='Data/Greenland_5km_dev1.2.nc'; +x1 = ncread(ncdata,'x1'); +y1 = ncread(ncdata,'y1'); +usrf = ncread(ncdata,'usrf')'; +topg = ncread(ncdata,'topg')'; +velx = ncread(ncdata,'surfvelx')'; +vely = ncread(ncdata,'surfvely')'; +temp = ncread(ncdata,'airtemp2m')'; +smb = ncread(ncdata,'smb')'; +gflux = ncread(ncdata,'bheatflx')'; + +disp(' Interpolating surface and bedrock'); +md.geometry.bed = InterpFromGridToMesh(x1,y1,topg,md.mesh.x,md.mesh.y,0); +md.geometry.surface = InterpFromGridToMesh(x1,y1,usrf,md.mesh.x,md.mesh.y,0); + +disp(' Constructing thickness'); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; + +%Set min thickness to 1 meter +pos0=find(md.geometry.thickness<=0); +md.geometry.thickness(pos0)=1; +md.geometry.surface=md.geometry.thickness+md.geometry.bed; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%Reading IceBridge data for Jakobshavn +disp(' reading IceBridge Jakobshavn bedrock'); +fid = fopen('Data/Jakobshavn_2008_2011_Composite_XYZGrid.txt'); +data = fscanf(fid,'%g,%g,%g,%g,%g',[5 266400])'; +fclose(fid); + +[xi,yi]= ll2xy(md.mesh.lat,md.mesh.long,+1,45,70); +bed = flipud(reshape(data(:,5),[360 740])); bed(find(bed==-9999))=NaN; +surf = flipud(reshape(data(:,4),[360 740])); surf(find(surf==-9999))=NaN; +bedy = flipud(reshape(data(:,1),[360 740])); +bedx = flipud(reshape(data(:,2),[360 740])); + +%Insert Icebridge bed and recalculate thickness +bed_jks=InterpFromGridToMesh(bedx(1,:)',bedy(:,1),bed,xi,yi,NaN); +surf_jks=InterpFromGridToMesh(bedx(1,:)',bedy(:,1),surf,xi,yi,NaN); +in=ContourToMesh(md.mesh.elements,md.mesh.x,md.mesh.y,... + './Exp_Par/Jak_grounded.exp','node',1); +bed_jks(~in)=NaN; +surf_jks(~in)=NaN; +pos=find(~isnan(bed_jks)); +md.geometry.bed(pos)=bed_jks(pos); +md.geometry.surface(pos)=surf_jks(pos); +md.geometry.thickness=md.geometry.surface-md.geometry.bed; +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +disp(' Interpolating velocities '); +md.inversion.vx_obs = InterpFromGridToMesh(x1,y1,velx,md.mesh.x,md.mesh.y,0); +md.inversion.vy_obs = InterpFromGridToMesh(x1,y1,vely,md.mesh.x,md.mesh.y,0); +md.inversion.vel_obs = sqrt(md.inversion.vx_obs.^2+md.inversion.vy_obs.^2); +md.initialization.vx = md.inversion.vx_obs; +md.initialization.vy = md.inversion.vy_obs; +md.initialization.vz = zeros(md.mesh.numberofvertices,1); +md.initialization.vel= md.inversion.vel_obs; + +disp(' Interpolating temperatures'); +md.initialization.temperature=InterpFromGridToMesh(x1,y1,temp,md.mesh.x,md.mesh.y,0)+273.15; + +disp(' Interpolating surface mass balance'); +md.surfaceforcings.mass_balance=InterpFromGridToMesh(x1,y1,smb,md.mesh.x,md.mesh.y,0); +md.surfaceforcings.mass_balance=md.surfaceforcings.mass_balance*md.materials.rho_water/md.materials.rho_ice; + +disp(' Construct basal friction parameters'); +md.friction.coefficient=30*ones(md.mesh.numberofvertices,1); +pos=find(md.mask.vertexonfloatingice); +md.friction.coefficient(pos)=0; %no friction applied on floating ice +md.friction.p=ones(md.mesh.numberofelements,1); +md.friction.q=ones(md.mesh.numberofelements,1); + +disp(' Construct ice rheological properties'); +md.materials.rheology_n=3*ones(md.mesh.numberofelements,1); +md.materials.rheology_B=paterson(md.initialization.temperature); +md.friction.q=ones(md.mesh.numberofelements,1); +md.friction.p=ones(md.mesh.numberofelements,1); + +disp(' Set other boundary conditions'); +md.diagnostic.icefront = [md.mesh.segments 1*ones(size(md.mesh.segments,1),1)]; +md.basalforcings.melting_rate = zeros(md.mesh.numberofvertices,1); +md.thermal.spctemperature = [md.initialization.temperature;1]; %impose observed temperature on surface +md.prognostic.spcthickness = NaN*ones(md.mesh.numberofvertices,1); + +disp(' Set geothermal heat flux'); +md.basalforcings.geothermalflux=InterpFromGridToMesh(x1,y1,gflux,md.mesh.x,md.mesh.y,0); + +disp(' Set Pressure'); +md.initialization.pressure=md.materials.rho_ice*md.constants.g*(md.geometry.surface-md.mesh.z); + +disp(' Single point constraint for continental model'); +%Set at least one vertex to velocity 0 so as to not get a singular problem (point on the wet peninsula) +md.diagnostic.referential=NaN*ones(md.mesh.numberofvertices,6); +md.diagnostic.spcvx = NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvy = NaN*ones(md.mesh.numberofvertices,1); +md.diagnostic.spcvz = NaN*ones(md.mesh.numberofvertices,1); +location = 1.0e+06 *[.32011 -2.2039]; +[dist pos]=min(sqrt((md.mesh.x - location(1)).^2 + (md.mesh.y - location(2)).^2)); +md.diagnostic.spcvx(pos) = 0; +md.diagnostic.spcvy(pos) = 0; +md.diagnostic.spcvz(pos) = 0; + Index: /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Jak_grounded.exp =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Jak_grounded.exp (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Jak_grounded.exp (revision 14029) @@ -0,0 +1,19 @@ +## Name:Jak_grouded +## Icon:0 +# Points Count Value +13 1.000000 +# X pos Y pos +-414397.6663804040 -2243466.6708395295 +-421486.9037621063 -2215731.3059818177 +-342860.8164377716 -2178965.8223332223 +-275835.2993744044 -2209281.2211311869 +-226210.6377024883 -2262816.9253914217 +-228144.0660793162 -2295067.3496445753 +-333193.6745536321 -2328607.7908678548 +-379595.9555975018 -2325382.7484425395 +-422775.8560133249 -2285392.2223686292 +-427287.1888925899 -2265396.9593316740 +-411819.7618779668 -2254431.8150856020 +-413108.7141291854 -2243466.6708395295 +-414397.6663804040 -2243466.6708395295 + Index: /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Jak_outline.exp =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Jak_outline.exp (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/Jak_outline.exp (revision 14029) @@ -0,0 +1,17 @@ +## Name:Jak +## Icon:0 +# Points Count Value +11 1.000000 +# X pos Y pos +-421561.7247949215 -2216716.3488182197 +-386019.6416099078 -2203459.4896082953 +-351446.8879663036 -2185999.2360147359 +-289086.6874689616 -2214129.6445821370 +-255160.1535196303 -2282353.9688088228 +-340138.0433165266 -2317597.8140254519 +-383306.1449952667 -2302506.6581698526 +-416391.9672407377 -2279120.5885137189 +-448056.7322601135 -2246463.4475331730 +-429126.8716234095 -2231167.6696134652 +-421561.7247949215 -2216716.3488182197 + Index: /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/data_gaps.exp =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/data_gaps.exp (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Exp_Par/data_gaps.exp (revision 14029) @@ -0,0 +1,70 @@ +## Name:data_gaps +## Icon:0 +# Points Count Value +13 1.000000 +# X pos Y pos +-183076.0390091268 -1794119.5324780210 +-233886.6983670916 -1838953.5447257366 +-239864.4229974404 -2006333.8571172084 +-299641.6693009282 -2081057.2108634012 +-269753.0461491842 -2116924.4206615738 +-257797.5968884868 -2185669.9061080711 +-278719.6330947075 -2248437.5232548732 +-254808.7345733123 -2266371.1281539593 +-224920.1114215683 -2167736.3012089850 +-198020.3505849990 -2093012.9474627920 +-123298.7927056390 -1967477.7131691882 +-180087.1766939524 -1797108.4666278686 +-183076.0390091268 -1794119.5324780210 + +## Name:data_gaps +## Icon:0 +# Points Count Value +12 1.000000 +# X pos Y pos +-90421.3072387208 -1824008.8739764981 +-117321.0680752902 -1946555.1741202541 +-156176.2781725575 -2075079.3425637058 +-177098.3143787782 -2203603.5110071572 +-174109.4520636038 -2314194.0745515227 +-72488.1333476745 -2293271.5355025884 +-93410.1695538952 -2203603.5110071572 +-30644.0609352330 -2206592.4451570050 +-6733.1624138379 -2081057.2108634012 +44077.4969441269 -1967477.7131691882 +-93410.1695538952 -1824008.8739764981 +-90421.3072387208 -1824008.8739764981 + +## Name:data_gaps +## Icon:0 +# Points Count Value +15 1.000000 +# X pos Y pos +-87432.4449235464 -2365005.9550989335 +-287686.2200402305 -2639987.8968849229 +-284697.3577250564 -2879102.6288727401 +-470006.8212658686 -2983715.3241174100 +-538750.6545148797 -3157073.5048085772 +-356430.0532892416 -3267664.0683529424 +-189053.7636394757 -3270653.0025027902 +-272741.9084643587 -3243752.5951541606 +-218942.3867912197 -3076372.2827626891 +-236875.5606822660 -3019582.5339155826 +-117321.0680752902 -2834268.6166250245 +20166.5984227317 -2669877.2383834003 +-12710.8870441865 -2469618.6503436035 +-87432.4449235464 -2367994.8892487814 +-87432.4449235464 -2365005.9550989335 + +## Name:data_gaps +## Icon:0 +# Points Count Value +6 1.000000 +# X pos Y pos +-186064.9013243013 -1555004.8004902040 +-177098.3143787782 -1695484.7055330465 +-81454.7202931975 -1698473.6396828941 +-36621.7855655816 -1513159.7223923360 +-186064.9013243013 -1552015.8663403564 +-186064.9013243013 -1555004.8004902040 + Index: /issm/workshop/2012/Talks/13_IceBridge/Makefile =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/Makefile (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/Makefile (revision 14029) @@ -0,0 +1,36 @@ +#Makefile for beamer +TARGET=13_IceBridge + +export TEXINPUTS=$(JPL_SVN)/publications/templates/beamer/Theme/Pasadena//: +all: one + +one: + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +complete: + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + #bibtex $(TARGET) + pdflatex -halt-on-error -file-line-error -draftmode $(TARGET).tex + pdflatex -halt-on-error -file-line-error $(TARGET).tex + open $(TARGET).pdf + +bib: + bibtex $(TARGET) + +links: + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/general/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/subtheme/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/ML/*.sty . + ln -s $(JPL_SVN)/publications/templates/beamer/Theme/Pasadena/graphics/JPL/*.pdf . + +unlinks: + find . -maxdepth 1 -type l -print | xargs rm + +clean: + rm -f ${TARGET}.{dvi,ps,pdf,toc,log,aux,out,nav,snm,bbl,blg,vrb} + +allclean: + make clean + make unlinks Index: /issm/workshop/2012/Talks/13_IceBridge/mcode.sty =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/mcode.sty (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/mcode.sty (revision 14029) @@ -0,0 +1,280 @@ +%% +%% This is file `mcode.sty' +%% +%% It is supposed to help you easily include MATLAB source code +%% into LaTeX document, but have it nicely highlighted, using +%% the great listings package. +%% +%% PLEASE NOTE that this package does nothing but save you from +%% figuring out some configurations in setting up the LISTINGS +%% package. ALL the work is done by that package! Thus, please +%% refer your questions to the listings package documentation. +%% +%% Usage: You have three ways of including your MATLAB code. As +%% environment, as inline object and directly from an external +%% file. +%% +%% 1) Environment: +%% +%% \begin{lstlisting} +%% YOUR CODE HERE +%% \end{lstlisting} +%% +%% +%% 2) Inline object: +%% +%% Bla bla \mcode{CODEFRAGMENT} bla bla. +%% +%% +%% 3) Include external file (in environment form) +%% +%% \lstinputlisting{YOUR-FILE.m} +%% +%% +%% For your convenience this package has the following options: +%% +%% - bw if you intend to print the document (highlighting done +%% via text formatting (bold, italic) and shades of gray) +%% +%% - numbered if you want line numbers +%% +%% - autolinebreaks if you want the package to automatically +%% wrap your code. This is buggy as it may well break +%% break syntax and it doesn't work well with comments. +%% You REALLY should wrap your code manually. +%% +%% - useliterate if you want some characters / relations in +%% your code to be replace with something more readable. +%% Example: ~= becomes $\neq$, >= becomes $\geq$, delta +%% becomes $\delta$ and so on. +%% +%% - framed if you want a frame around the source code blocks +%% +%% - final if you have ``gloablly'' set the draft option, the +%% listings package will not output the code at all. to +%% force it to do so anyway, load this package with the +%% final option (passes the ``final'' on to listings). +%% +%% For example, you may use \usepackage[numbered,framed]{mcode} +%% in your document preamble. +%% +%% Note: Inside code blocks you can escape to LaTeX text mode +%% using §...§. For ex. §text and some math: $x^2$§, which is +%% especially useful in comments for putting nicely typeset +%% equations etc. To get the same colour/style as in the rest +%% of the comment use \mcommentfont, i.e. §\mcommentfont $x^2$§ +%% +%% To change the font used, edit the first line in the "custo- +%% mise below" section. And feel free to edit other things as +%% well. Refer to the documentation of the listings package to +%% see what else you could do. If an extra small font is re- +%% quired, use {\fontfamily{pcr}\fontsize{3}{4.6}\selectfont} +%% in the definition of \lstbasicfont. +%% +%% Author: +%% Florian Knorn | florian@knorn.org | www.florian-knorn.com +%% +%% Version history: +%% 2.2 -- Bugfix (thanks Willi Gerbig!) +%% 2.1 -- Finally automatic detection between end and end +%% 2.0 -- New options for line breaking and literate prog. +%% 1.8 -- Fixed typo in documentation regarding §...§ +%% 1.7 -- Added MATLAB block comment syntax %{ ...... %} +%% 1.6 -- Added some infos, dealing with keyword ``end'' +%% 1.5 -- Tweaked check to see wether textcomp is loaded +%% 1.4 -- Fixed misconfig (mathescape now set to false) +%% 1.3 -- Purely cosmetic (tabs replaced by spaces) +%% 1.2 -- Added \lstset{showstringspaces=false} +%% 1.1 -- Added \mcode command and [final] option +%% 1.0 -- Release + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% D O N ' T T O U C H T H I S % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\fileversion{2.2} +\def\filedate{2011/08/26} + +\typeout{-- Package: `mcode' \fileversion\space <\filedate> --} +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{mcode}[\filedate\space\fileversion] + +% for bw-option +\newif\ifbw +\DeclareOption{bw}{\bwtrue} + +% numbered option +\newif\ifnumbered +\DeclareOption{numbered}{\numberedtrue} + +% final option +\newif\iffinal +\DeclareOption{final}{\finaltrue} + +% autolinebreaks option +\newif\ifautolinebreaks +\DeclareOption{autolinebreaks}{\autolinebreakstrue} + +% literate programming (replace certain characters/relations +\newif\ifuseliterate +\DeclareOption{useliterate}{\useliteratetrue} + +% framed option +\newif\ifframed +\DeclareOption{framed}{\framedtrue} + +\DeclareOption*{% default + \PackageWarning{mcode}{Unknown option `\CurrentOption' !}% +} +\ProcessOptions + +\ifbw\typeout{ - settings optimized for printing (bw formating)} +\else\typeout{ - settings optimized for display (colour formating)}\fi +\ifnumbered\typeout{ - line numbering enabled}\else\fi +\ifuseliterate\typeout{ - literate programming (character replacements) enabled}\else\fi +\ifautolinebreaks\typeout{ - automatic line breaking enabled (careful, buggy!)}\else\fi +\ifframed\typeout{ - framed listings}\else\fi + +% This command allows you to typeset syntax highlighted Matlab +% code ``inline''. The font size \small seems to look best... +\newcommand{\mcode}[1]{\lstinline[basicstyle=\lstbasicfont\small]|#1|} + +% check if color command exists +\ifx\color\undefined% + \RequirePackage{xcolor}% +\fi + +% check if listings has been loaded +\ifx\lstset\undefined% + \iffinal + \RequirePackage[final]{listings} + \else + \RequirePackage{listings} + \fi +\fi + +% Check if textcomp has been loaded (this package is needed for +% upright quotes '' (instead of typographic ones `´)... +\ifx\textquotesingle\undefined% + \RequirePackage{textcomp}% +\fi + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% C U S T O M I S E B E L O W % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% --------------------------------------------------------------------------------- +% default font +\def\lstbasicfont{\fontfamily{pcr}\selectfont\footnotesize} + +% --------------------------------------------------------------------------------- +% matlat languate definition +\lstdefinelanguage{matlabfloz}{% + alsoletter={...},% + morekeywords={% % keywords + break,case,catch,continue,elseif,else,end,for,function,global,% + if,otherwise,persistent,return,switch,try,while,...},% + comment=[l]\%, % comments + morecomment=[l]..., % comments + morecomment=[s]{\%\{}{\%\}}, % block comments + morestring=[m]' % strings +}[keywords,comments,strings]% + +% --------------------------------------------------------------------------------- +% general definitions +\lstset{% + basicstyle={\lstbasicfont}, % set font + showstringspaces=false, % do not emphasize spaces in strings + tabsize=3, % number of spaces of a TAB + mathescape=false,escapechar=§, % escape to latex with §...§ + upquote=true, % upright quotes + aboveskip={1.5\baselineskip}, % a bit of space above listings + columns=fixed % nice spacing +} + +% --------------------------------------------------------------------------------- +% define colours and styles +\ifbw % use font formating and gray 'colors' + \def\mcommentfont{\color[gray]{.75}\itshape} %comments light gray and italic + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\bfseries, % keywords in bold + commentstyle=\mcommentfont, % comments + stringstyle=\color[gray]{0.5} % strings darker gray + } +\else% notbw => use colors : ) + \def\mcommentfont{\color[rgb]{.133,.545,.133}} %comments in green + \lstset{language=matlabfloz, % use our version of highlighting + keywordstyle=\color[rgb]{0,0,1}, % keywords in blue + commentstyle=\mcommentfont, % comments + stringstyle=\color[rgb]{.627,.126,.941} % strings in purple + } +\fi%bw + +% --------------------------------------------------------------------------------- +% automatic line breaking --- warning, this is buggy and +% doesn't break comments correctly! +\ifautolinebreaks + \newsavebox{\lbreakdots}\sbox{\lbreakdots}{\lstbasicfont\mcommentfont...} + \lstset{breaklines=true,breakatwhitespace=true,prebreak=\usebox{\lbreakdots}} +\fi + +% --------------------------------------------------------------------------------- +% literate replacements +% the following is for replacing some matlab relations like >= or ~= +% by the corresponding LaTeX symbols, which are much easier to read ... +\ifuseliterate + \lstset{% + literate=% + {~}{{$\neg$}}1 % \neg + {<=}{{\tiny$\leq$}}1 % \leq + {>=}{{\tiny$\geq$}}1 % \geq + {~=}{{\tiny$\neq$}}1 % \neq + {delta}{{\tiny$\Delta$}}1 % \Delta + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\else + \lstset{% + literate=% + {(end)}{\lstbasicfont (end)}{5} % black ``end'' when indexing last vector element + {({ }end)}{\lstbasicfont ({ }end)}{6} + {(end{ })}{\lstbasicfont (end{ })}{6} + {({ }end{ })}{\lstbasicfont ({ }end{ })}{7} + {:end}{\lstbasicfont :end}{4} + {:{ }end}{\lstbasicfont :{ }end}{5} + {end:}{\lstbasicfont end:}{4} + {end{ }:}{\lstbasicfont end{ }:}{5} + {,end}{\lstbasicfont ,end}{4} + {,{ }end}{\lstbasicfont ,{ }end}{5} + } +\fi%literates + +% --------------------------------------------------------------------------------- +% line numbering +\ifnumbered% numbered option + \lstset{% + numbersep=3mm, numbers=left, numberstyle=\tiny, % number style + } +\fi + +\ifframed% framed option + \lstset{% + frame=single, % frame + } + \ifnumbered% + \lstset{% + framexleftmargin=6mm, xleftmargin=6mm % tweak margins + } + \fi +\fi + +\endinput +%% End of file `mcode.sty'. Index: /issm/workshop/2012/Talks/13_IceBridge/runme.m =================================================================== --- /issm/workshop/2012/Talks/13_IceBridge/runme.m (revision 14029) +++ /issm/workshop/2012/Talks/13_IceBridge/runme.m (revision 14029) @@ -0,0 +1,159 @@ +clear all; +steps=[1:5]; + +%Location of SeaRISE dataset +ncdata='./Data/Greenland_5km_dev1.2.nc'; + +if any(steps==1) + disp(' Step 1: Mesh creation'); + + %Generate initial uniform mesh (resolution = 20000 m) + md=triangle(model,'./Exp_Par/DomainOutline.exp',20000); + + % Get velocities (Note: You can use ncdisp('file') to see an ncdump) + x1 = ncread(ncdata,'x1'); + y1 = ncread(ncdata,'y1'); + velx = ncread(ncdata,'surfvelx'); + vely = ncread(ncdata,'surfvely'); + vx = InterpFromGridToMesh(x1,y1,velx',md.mesh.x,md.mesh.y,0); + vy = InterpFromGridToMesh(x1,y1,vely',md.mesh.x,md.mesh.y,0); + vel = sqrt(vx.^2+vy.^2); + + %Mesh greenland without refinement in Jak basin + %md=bamg(md,'hmax',400000,'hmin',5000,'gradation',1.7,'field',vel,'err',8); + %plotmodel (md,'data','mesh'); + %return + + %Refine mesh in the region of Jakobshavn (resolution = 1000 m) + hmaxVertices=NaN*ones(md.mesh.numberofvertices,1); + in=ContourToMesh(md.mesh.elements,md.mesh.x,md.mesh.y,... + './Exp_Par/Jak_outline.exp','node',1); + hmaxVertices(find(in))=1000; + + %Adapt the mesh to minimize error in velocity interpolation + md=bamg(md,'hmax',400000,'hmin',5000,'gradation',1.7,'field',vel,... + 'err',8,'hmaxVertices',hmaxVertices); + plotmodel (md,'data','mesh'); + + %convert x,y coordinates (Polar stereo) to lat/lon + [md.mesh.lat,md.mesh.long]=xy2ll(md.mesh.x,md.mesh.y,+1,39,71); + + save ./Models/Greenland.Mesh_generation md; +end + +if any(steps==2) + disp(' Step 2: Parameterization'); + md = loadmodel('./Models/Greenland.Mesh_generation'); + + md = setmask(md,'',''); + md = parameterize(md,'./Exp_Par/Greenland_solution.par'); + md = setflowequation(md,'macayeal','all'); + + save ./Models/Greenland.Parameterization md; +end + +if any(steps==3) + disp(' Step 3: Control method friction'); + md = loadmodel('./Models/Greenland.Parameterization'); + + %Control general + md.inversion.iscontrol=1; + md.inversion.nsteps=30; + md.inversion.step_threshold=0.99*ones(md.inversion.nsteps,1); + md.inversion.maxiter_per_step=5*ones(md.inversion.nsteps,1); + md.verbose=verbose('solution',true,'control',true); + + %Cost functions + md.inversion.cost_functions=[101*ones(md.inversion.nsteps,1) 103*ones(md.inversion.nsteps,1) 501*ones(md.inversion.nsteps,1)]; + md.inversion.cost_functions_coefficients=ones(md.mesh.numberofvertices,3); + md.inversion.cost_functions_coefficients(:,1)=350; + md.inversion.cost_functions_coefficients(:,2)=0.6; + md.inversion.cost_functions_coefficients(:,3)=2e-6; + + %Controls + md.inversion.control_parameters={'FrictionCoefficient'}; + md.inversion.gradient_scaling(1:md.inversion.nsteps)=50; + md.inversion.min_parameters=1*ones(md.mesh.numberofvertices,1); + md.inversion.max_parameters=200*ones(md.mesh.numberofvertices,1); + in=ContourToMesh(md.mesh.elements,md.mesh.x,md.mesh.y,'./Exp_Par/data_gaps.exp','node',1); + md.inversion.cost_functions_coefficients(find(in),1)=0.0; + md.inversion.cost_functions_coefficients(find(in),2)=0.0; + + %Additional parameters + md.diagnostic.restol=0.01; + md.diagnostic.reltol=0.1; + md.diagnostic.abstol=NaN; + + %Go solve + md.cluster=generic('name',oshostname,'np',2); + md.solver=addoptions(md.solver,NoneAnalysisEnum,asmoptions); + md.solver=addoptions(md.solver,DiagnosticVertAnalysisEnum,jacobiasmoptions); + md.verbose=verbose('solution',true,'control',true); + md=solve(md,DiagnosticSolutionEnum); + + %Update model friction fields accordingly + md.friction.coefficient=md.results.DiagnosticSolution.FrictionCoefficient; + + save ./Models/Greenland.Control_drag md; +end + +if any(steps==4) + disp(' Step 4: Transient run'); + md = loadmodel('./Models/Greenland.Control_drag'); + + %Set surface mass balance + x1 = ncread(ncdata,'x1'); + y1 = ncread(ncdata,'y1'); + smb = ncread(ncdata,'smb'); + smb = InterpFromGridToMesh(x1,y1,smb',md.mesh.x,md.mesh.y,0)*1000/md.materials.rho_ice; + smb = [smb smb smb-1.0]; + md.surfaceforcings.mass_balance = [smb;1 10 20]; + + %Set transient options, run for 20 years, saving every year + md.timestepping.time_step=0.2; + md.timestepping.final_time=20; + md.settings.output_frequency=1; + + %Additional options + md.inversion.iscontrol=0; + md.transient.requested_outputs=IceVolumeEnum(); + md.verbose=verbose('solution',true,'module',true,'convergence',true); + + %Go solve + md.cluster=generic('name',oshostname,'np',2); + md=solve(md,TransientSolutionEnum); + + save ./Models/Greenland.Transient md; +end + +if any(steps==5) + disp(' Step 5: Plotting'); + md = loadmodel('./Models/Greenland.Transient'); + + %Planview plots + plotmodel(md,'data',md.results.TransientSolution(end).Vel,'caxis',[1e-1 6000],... + 'log', 10, 'title', 'Velocity (m/y)','gridded',1, ... + 'data', md.results.TransientSolution(1).SurfaceforcingsMassBalance, ... + 'title', 'Surface mass balance (m/y)','gridded',1, ... + 'data',md.results.TransientSolution(end).Thickness,... + 'title','Thickness (m)','gridded',1, ... + 'data',md.results.TransientSolution(end).Surface, ... + 'title', 'Surface (m)','gridded',1); + + %Line Plots + figure + + %Plot surface mass balance + surfmb=[]; for i=1:100; surfmb=[surfmb ... + md.results.TransientSolution(i).SurfaceforcingsMassBalance]; end + subplot(3,1,1); plot([0.2:0.2:20],mean(surfmb)); title('Mean Surface mass balance'); + + %Plot velocity + vel=[]; for i=1:100; vel=[vel md.results.TransientSolution(i).Vel]; end + subplot(3,1,2); plot([0.2:0.2:20],mean(vel)); title('Mean Velocity'); + + %Plot Volume + volume=[]; for i=1:100; volume=[volume md.results.TransientSolution(i).IceVolume]; end + subplot(3,1,3); plot([0.2:0.2:20],volume); title('Ice Volume'); + xlabel('years') +end