source: issm/trunk/test/NightlyRun/test1302.m@ 5046

Last change on this file since 5046 was 5046, checked in by seroussi, 15 years ago

added thermal validation tests

  • Property svn:executable set to *
File size: 1.9 KB
RevLine 
[5046]1% This file can be run to check that the advection-diffusion is correctly modeled.
2% There is u=v=0 and w=cst everywhere the only thermal boundary conditions are an imposed temperature
3% at upper surface and an impose flux at its base.
4% Just run this file in Matlab, with a properly setup Ice code.
5
6md=model;
7md=mesh(md,'../Exp/Square.exp',100000);
8md=geography(md,'','');
9md=parameterize(md,'../Par/SquareThermal.par');
10md=extrude(md,30,1); %NB: the more one extrudes, the better (10-> relative~0.35%, 20->0.1%, 30->0.05%)
11md=setelementstype(md,'Pattyn','all');
12
13%Thermal boundary conditions
14pos1=find(md.elementonbed); md.spctemperature(md.elements(pos1,1:3),1)=1; md.spctemperature(md.elements(pos1,1:3),2)=10;
15pos2=find(md.elementonsurface); md.spctemperature(md.elements(pos2,4:6),1)=1; md.spctemperature(md.elements(pos2,4:6),2)=0;
16md.vz=0.1*ones(md.numberofgrids,1);
17md.vel=sqrt( md.vx.^2+ md.vy.^2+ md.vz.^2);
18md.pressure=zeros(md.numberofgrids,1);
19
20%analytical results
21%d2T/dz2-w*rho_ice*c/k*dT/dz=0 T(surface)=0 T(bed)=10 => T=A exp(alpha z)+B
22alpha=0.1/md.yts*md.rho_ice*md.heatcapacity/md.thermalconductivity; %alpha=w rho_ice c /k and w=0.1m/an
23A=10/(exp(alpha*(-1000))-1); %A=T(bed)/(exp(alpha*bed)-1) with bed=-1000 T(bed)=10
24B=-A;
25md.observed_temperature=A*exp(alpha*md.z)+B;
26
27%modeled results
28md=solve(md,'analysis_type',ThermalSolutionEnum);
29
30%plot results
31comp_temp=zeros(md.numberofgrids,1);
32comp_temp(md.results.ThermalSolution.Temperature.index)=md.results.ThermalSolution.Temperature.value;
33relative=abs((comp_temp-md.observed_temperature)./md.observed_temperature)*100;
34relative(find(comp_temp==md.observed_temperature))=0;
35plotmodel(md,'data',comp_temp,'title','modeled temperature','data','observed_temperature','view',3,'title','analytical temperature','view',3,'data',comp_temp-md.observed_temperature,'title','absolute error','view',3,'data',relative,'title','relative error [%]','view',3)
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