| 1 | step=[1];
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| 2 |
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| 3 | if step==1 %Mesh Generation #1
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| 4 | %Mesh parameters
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| 5 | domain =['./DomainOutline.exp'];
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| 6 | hinit=10000; % element size for the initial mesh
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| 7 | hmax=40000; % maximum element size of the final mesh
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| 8 | hmin=5000; % minimum element size of the final mesh
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| 9 | gradation=1.7; % maximum size ratio between two neighboring elements
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| 10 | err=8; % maximum error between interpolated and control field
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| 11 |
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| 12 | % Generate an initial uniform mesh (resolution = hinit m)
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| 13 | md=bamg(model,'domain',domain,'hmax',hinit);
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| 14 |
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| 15 | %ploting
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| 16 | plotmodel(md,'data','mesh')
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| 17 | return;
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| 18 |
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| 19 | % Load Velocities
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| 20 | nsidc_vel='../Data/Antarctica_ice_velocity.nc';
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| 21 |
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| 22 | % Get necessary data to build up the velocity grid
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| 23 | xmin = ncreadatt(nsidc_vel,'/','xmin');
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| 24 | ymax = ncreadatt(nsidc_vel,'/','ymax');
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| 25 | spacing = ncreadatt(nsidc_vel,'/','spacing');
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| 26 | nx = double(ncreadatt(nsidc_vel,'/','nx'));
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| 27 | ny = double(ncreadatt(nsidc_vel,'/','ny'));
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| 28 | vx = double(ncread(nsidc_vel,'vx'));
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| 29 | vy = double(ncread(nsidc_vel,'vy'));
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| 30 |
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| 31 | % Read coordinates
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| 32 | xmin = strtrim(xmin);
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| 33 | xmin = str2num(xmin(1:end-2));
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| 34 | ymax = strtrim(ymax);
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| 35 | ymax = str2num(ymax(1:end-2));
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| 36 | spacing = strtrim(spacing);
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| 37 | spacing = str2num(spacing(1:end-2));
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| 38 |
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| 39 | % Build the coordinates
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| 40 | x=xmin+(0:1:nx)'*spacing;
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| 41 | y=(ymax-ny*spacing)+(0:1:ny)'*spacing;
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| 42 |
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| 43 | % Interpolate velocities onto coarse mesh
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| 44 | vx_obs=InterpFromGridToMesh(x,y,flipud(vx'),md.mesh.x,md.mesh.y,0);
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| 45 | vy_obs=InterpFromGridToMesh(x,y,flipud(vy'),md.mesh.x,md.mesh.y,0);
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| 46 | vel_obs=sqrt(vx_obs.^2+vy_obs.^2);
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| 47 | clear vx vy x y;
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| 48 |
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| 49 | % Adapt the mesh to minimize error in velocity interpolation
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| 50 | md=bamg(md,'hmax',hmax,'hmin',hmin,'gradation',gradation,'field',vel_obs,'err',err);
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| 51 |
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| 52 | %ploting
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| 53 | plotmodel(md,'data','mesh')
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| 54 |
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| 55 | % Save model
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| 56 | save ./Models/PIG_Mesh_generation md;
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| 57 | end
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| 58 |
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| 59 | if step==2 %Masks #2
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| 60 |
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| 61 | md = loadmodel('./Models/PIG_Mesh_generation');
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| 62 |
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| 63 | % Load SeaRISe dataset for Antarctica
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| 64 | % http://websrv.cs.umt.edu/isis/index.php/Present_Day_Antarctica
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| 65 | searise='../Data/Antarctica_5km_withshelves_v0.75.nc';
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| 66 |
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| 67 | %read thickness mask from SeaRISE
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| 68 | x1=double(ncread(searise,'x1'));
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| 69 | y1=double(ncread(searise,'y1'));
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| 70 | thkmask=double(ncread(searise,'thkmask'));
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| 71 |
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| 72 | %interpolate onto our mesh vertices
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| 73 | groundedice=double(InterpFromGridToMesh(x1,y1,thkmask',md.mesh.x,md.mesh.y,0));
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| 74 | groundedice(groundedice<=0)=-1;
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| 75 | clear thkmask;
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| 76 |
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| 77 | %fill in the md.mask structure
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| 78 | md.mask.groundedice_levelset=groundedice; %ice is grounded for mask equal one
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| 79 | md.mask.ice_levelset=-1*ones(md.mesh.numberofvertices,1);%ice is present when negatvie
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| 80 |
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| 81 | %ploting
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| 82 | plotmodel(md,'data',md.mask.groundedice_levelset,'title','grounded/floating','data',md.mask.ice_levelset,'title','ice/no-ice')
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| 83 |
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| 84 | % Save model
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| 85 | save ./Models/PIG_SetMask md;
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| 86 | end
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| 87 |
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| 88 | if step==3 %Parameterization #3
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| 89 |
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| 90 | md = loadmodel('./Models/PIG_SetMask');
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| 91 | md = parameterize(md,'./Pig.par');
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| 92 |
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| 93 | % Use a MacAyeal flow model
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| 94 | md = setflowequation(md,'SSA','all');
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| 95 |
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| 96 | % Save model
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| 97 | save ./Models/PIG_Parameterization md;
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| 98 | end
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| 99 |
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| 100 | if step==4 %Control Method #4
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| 101 |
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| 102 | md = loadmodel('./Models/PIG_Parameterization');
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| 103 |
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| 104 | % Control general
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| 105 | md.inversion.iscontrol=1;
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| 106 | md.inversion.maxsteps=20;
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| 107 | md.inversion.maxiter=40;
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| 108 | md.inversion.dxmin=0.1;
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| 109 | md.inversion.gttol=1.0e-4;
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| 110 | md.verbose=verbose('solution',true,'control',true);
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| 111 |
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| 112 | % Cost functions
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| 113 | md.inversion.cost_functions=[101 103 501];
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| 114 | md.inversion.cost_functions_coefficients=ones(md.mesh.numberofvertices,3);
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| 115 | md.inversion.cost_functions_coefficients(:,1)=1;
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| 116 | md.inversion.cost_functions_coefficients(:,2)=1;
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| 117 | md.inversion.cost_functions_coefficients(:,3)=8e-15;
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| 118 |
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| 119 | % Controls
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| 120 | md.inversion.control_parameters={'FrictionCoefficient'};
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| 121 | md.inversion.min_parameters=1*ones(md.mesh.numberofvertices,1);
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| 122 | md.inversion.max_parameters=200*ones(md.mesh.numberofvertices,1);
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| 123 |
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| 124 | % Additional parameters
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| 125 | md.stressbalance.restol=0.01;
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| 126 | md.stressbalance.reltol=0.1;
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| 127 | md.stressbalance.abstol=NaN;
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| 128 |
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| 129 | % Solve
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| 130 | md.toolkits=toolkits;
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| 131 | md.cluster=generic('name',oshostname,'np',2);
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| 132 | md=solve(md,StressbalanceSolutionEnum);
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| 133 |
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| 134 | % Update model friction fields accordingly
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| 135 | md.friction.coefficient=md.results.StressbalanceSolution.FrictionCoefficient;
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| 136 |
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| 137 | plotmodel(md,'data',md.friction.coefficient)
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| 138 |
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| 139 | % Save model
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| 140 | save ./Models/PIG_Control_drag md;
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| 141 | end
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| 142 |
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| 143 | if step==5 %Plot #5
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| 144 |
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| 145 | md = loadmodel('./Models/PIG_Control_drag');
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| 146 |
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| 147 | plotmodel(md,'axis#all','equal',...
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| 148 | 'xlim#all',[min(md.mesh.x) max(md.mesh.x)]/10^3,...
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| 149 | 'ylim#all',[min(md.mesh.y) max(md.mesh.y)]/10^3,...
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| 150 | 'FontSize#all',12,...
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| 151 | 'data',md.initialization.vel,'title','Observed velocity',...
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| 152 | 'data',md.results.StressbalanceSolution.Vel,'title','Modeled Velocity',...
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| 153 | 'data',md.geometry.base,'title','Bed elevation',...
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| 154 | 'data',md.results.StressbalanceSolution.FrictionCoefficient,'title','Friction Coefficient',...
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| 155 | 'colorbar#all','on','colorbartitle#1-2','[m/yr]',...
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| 156 | 'caxis#1-2',([1.5,4000]),...
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| 157 | 'colorbartitle#3','[m]', 'log#1-2',10);
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| 158 | end
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| 159 |
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| 160 | if step==6 %Higher-Order #6
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| 161 |
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| 162 | % Load Model
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| 163 |
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| 164 | % Disable inversion
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| 165 |
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| 166 | % Extrude Mesh
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| 167 |
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| 168 | % Set Flowequation
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| 169 |
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| 170 | % Solve
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| 171 |
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| 172 | % Save Model
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| 173 |
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| 174 | end
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| 175 |
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| 176 | if step==7 %Plot #7
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| 177 |
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| 178 | mdHO = loadmodel('./Models/PIG_ModelHO');
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| 179 | mdSSA = loadmodel('./Models/PIG_Control_drag');
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| 180 |
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| 181 | basal=find(mdHO.mesh.vertexonbase);
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| 182 | surf=find(mdHO.mesh.vertexonsurface);
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| 183 |
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| 184 | plotmodel(mdHO,'nlines',3,'ncols',2,'axis#all','equal',...
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| 185 | 'xlim#all',[min(mdHO.mesh.x) max(mdHO.mesh.x)]/10^3,...
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| 186 | 'ylim#all',[min(mdHO.mesh.y) max(mdHO.mesh.y)]/10^3,...
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| 187 | 'FontSize#all',12,...
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| 188 | 'data',mdHO.initialization.vel,'title','Observed velocity',...
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| 189 | 'data',(mdHO.results.StressbalanceSolution.Vel(surf)-mdHO.initialization.vel(surf)),'title','(HO-observed) velocities',...
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| 190 | 'data',mdSSA.results.StressbalanceSolution.Vel,'title','Modeled SSA Velocity',...
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| 191 | 'data',(mdHO.results.StressbalanceSolution.Vel(surf)-mdSSA.results.StressbalanceSolution.Vel),'title','(HO-SSA) velocities',...
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| 192 | 'data',mdHO.results.StressbalanceSolution.Vel,'title','Modeled HO surface Velocities',...
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| 193 | 'data',(mdHO.results.StressbalanceSolution.Vel(surf)-mdHO.results.StressbalanceSolution.Vel(basal)),'title','(HOsurf-HO base) velocities',...
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| 194 | 'caxis#1',([1.5,4000]),'caxis#3',([1.5,4000]),'caxis#5',([1.5,4000]),...
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| 195 | 'colorbar#all','on','view#all',2,...
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| 196 | 'colorbartitle#all','[m/yr]',...
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| 197 | 'layer#5',1, 'log#1', 10,'log#3', 10,'log#5', 10);
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| 198 | end
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