| 1 | function md=collapse(md)
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| 2 | %COLLAPSE - collapses a 3d mesh into a 2d mesh
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| 3 | %
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| 4 | %   This routine collapses a 3d model into a 2d model
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| 5 | %   and collapses all the fileds of the 3d model by
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| 6 | %   taking their depth-averaged values
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| 7 | %
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| 8 | %   Usage:
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| 9 | %      md=collapse(md)
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| 10 | %
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| 11 | %   See also: EXTRUDE, MODELEXTRACT
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| 12 | 
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| 13 | %Check that the model is really a 3d model
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| 14 | if ~md.dim==3,
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| 15 |         error('collapse error message: only 3d mesh can be collapsed')
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| 16 | end
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| 17 | 
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| 18 | %Start with changing alle the fields from the 3d mesh 
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| 19 | 
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| 20 | %drag is limited to nodes that are on the bedrock.
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| 21 | md.friction.coefficient=project2d(md,md.friction.coefficient,1);
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| 22 | 
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| 23 | %p and q (same deal, except for element that are on the bedrock: )
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| 24 | md.friction.p=project2d(md,md.friction.p,1);
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| 25 | md.friction.q=project2d(md,md.friction.q,1);
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| 26 | 
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| 27 | %observations
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| 28 | if ~isnan(md.vx_obs), md.vx_obs=project2d(md,md.vx_obs,md.numlayers); end;
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| 29 | if ~isnan(md.vy_obs), md.vy_obs=project2d(md,md.vy_obs,md.numlayers); end;
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| 30 | if ~isnan(md.vel_obs), md.vel_obs=project2d(md,md.vel_obs,md.numlayers); end;
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| 31 | if ~isnan(md.surfaceforcings.mass_balance),
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| 32 |         md.surfaceforcings.mass_balance=project2d(md,md.surfaceforcings.mass_balance,md.numlayers); 
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| 33 | end;
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| 34 | if ~isnan(md.balancethickness.thickening_rate), md.balancethickness.thickening_rate=project2d(md,md.balancethickness.thickening_rate,md.numlayers); end;
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| 35 | 
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| 36 | %results
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| 37 | if ~isnan(md.vx),md.vx=DepthAverage(md,md.vx);end;
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| 38 | if ~isnan(md.vy),md.vy=DepthAverage(md,md.vy);end;
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| 39 | if ~isnan(md.vz),md.vz=DepthAverage(md,md.vz);end;
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| 40 | if ~isnan(md.vel),md.vel=DepthAverage(md,md.vel);end;
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| 41 | 
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| 42 | %bedinfo and surface info
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| 43 | md.elementonbed=ones(md.numberofelements2d,1);
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| 44 | md.elementonsurface=ones(md.numberofelements2d,1);
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| 45 | md.nodeonbed=ones(md.numberofnodes2d,1);
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| 46 | md.nodeonsurface=ones(md.numberofnodes2d,1);
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| 47 | 
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| 48 | %elementstype
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| 49 | if ~isnan(md.elements_type)
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| 50 |         md.elements_type=project2d(md,md.elements_type,1);
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| 51 | end     
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| 52 | md.nodeonhutter=project2d(md,md.nodeonhutter,1);
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| 53 | md.nodeonmacayeal=project2d(md,md.nodeonmacayeal,1);
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| 54 | md.nodeonpattyn=project2d(md,md.nodeonpattyn,1);
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| 55 | md.nodeonstokes=project2d(md,md.nodeonstokes,1);
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| 56 | 
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| 57 | %boundary conditions
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| 58 | md.spcvx=project2d(md,md.spcvx,md.numlayers);
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| 59 | md.spcvy=project2d(md,md.spcvy,md.numlayers);
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| 60 | md.spcvz=project2d(md,md.spcvz,md.numlayers);
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| 61 | md.prognostic.spcthickness=project2d(md,md.prognostic.spcthickness,md.numlayers);
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| 62 | md.thermal.spctemperature=project2d(md,md.thermal.spctemperature,md.numlayers);
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| 63 | 
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| 64 | %Extrusion of Neumann BC
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| 65 | if ~isnan(md.pressureload),
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| 66 |         numberofneumann2d=size(md.pressureload,1)/md.numlayers;
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| 67 |         md.pressureload=[md.pressureload(1:numberofneumann2d,1:2) md.pressureload(1:numberofneumann2d,5:6)]; %Add two columns on the first layer 
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| 68 | end
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| 69 | 
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| 70 | %materials
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| 71 | md.materials.rheology_B=DepthAverage(md,md.materials.rheology_B);
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| 72 | md.materials.rheology_n=project2d(md,md.materials.rheology_n,1);
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| 73 | 
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| 74 | %special for thermal modeling:
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| 75 | md.basalforcings.melting_rate=project2d(md,md.basalforcings.melting_rate,1); 
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| 76 | md.basalforcings.geothermalflux=project2d(md,md.basalforcings.geothermalflux,1); %bedrock only gets geothermal flux
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| 77 | 
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| 78 | %update of connectivity matrix
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| 79 | md.connectivity=25;
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| 80 | 
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| 81 | %Collapse the mesh
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| 82 | nodes2d=md.numberofnodes2d;
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| 83 | elements2d=md.numberofelements2d;
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| 84 | 
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| 85 | %parameters
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| 86 | md.surface=project2d(md,md.surface,1);
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| 87 | md.thickness=project2d(md,md.thickness,1);
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| 88 | md.bed=project2d(md,md.bed,1);
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| 89 | md.nodeonboundary=project2d(md,md.nodeonboundary,1);
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| 90 | md.mask.elementonfloatingice=project2d(md,md.mask.elementonfloatingice,1);
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| 91 | md.mask.vertexonfloatingice=project2d(md,md.mask.vertexonfloatingice,1);
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| 92 | md.mask.elementongroundedice=project2d(md,md.mask.elementongroundedice,1);
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| 93 | md.mask.vertexongroundedice=project2d(md,md.mask.vertexongroundedice,1);
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| 94 | 
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| 95 | %Initialize with the 2d mesh
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| 96 | md.x=md.x2d;
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| 97 | md.y=md.y2d;
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| 98 | md.z=zeros(size(md.x2d));
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| 99 | md.numberofnodes=md.numberofnodes2d;
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| 100 | md.numberofelements=md.numberofelements2d;
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| 101 | md.elements=md.elements2d;
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| 102 | 
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| 103 | %Keep a trace of lower and upper nodes
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| 104 | md.lowernodes=NaN;
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| 105 | md.uppernodes=NaN;
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| 106 | 
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| 107 | %Remove old mesh 
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| 108 | md.x2d=NaN;
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| 109 | md.y2d=NaN;
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| 110 | md.elements2d=NaN;
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| 111 | md.numberofelements2d=md.numberofelements;
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| 112 | md.numberofnodes2d=md.numberofnodes;
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| 113 | md.numlayers=0;
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| 114 | 
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| 115 | %Update mesh type
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| 116 | md.dim=2;
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