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