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annotate +multiblock/DiffOp.m @ 729:aa8cf3851de8 feature/poroelastic

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Update multiblock.DiffOp to work for systems.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 20 Apr 2018 16:56:49 -0700
parents c360bbecf260
children c3b460a7d7ac
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
186
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1 classdef DiffOp < scheme.Scheme
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2 properties
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3 grid
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4 order
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5 diffOps
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6 D
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7 H
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8
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9 blockmatrixDiv
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10 end
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11
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12 methods
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13 function obj = DiffOp(doHand, grid, order, doParam)
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14 % doHand -- may either be a function handle or a cell array of
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15 % function handles for each grid. The function handle(s)
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16 % should be on the form do = doHand(grid, order, ...)
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17 % Additional parameters for each doHand may be provided in
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18 % the doParam input.
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19 % grid -- a multiblock grid
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20 % order -- integer specifying the order of accuracy
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21 % doParam -- may either be a cell array or a cell array of cell arrays
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22 % for each block. If it is a cell array with length equal
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23 % to the number of blocks then each element is sent to the
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24 % corresponding function handle as extra parameters:
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25 % doHand(..., doParam{i}{:}) Otherwise doParam is sent as
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26 % extra parameters to all doHand: doHand(..., doParam{:})
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27 default_arg('doParam', [])
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28
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29 [getHand, getParam] = parseInput(doHand, grid, doParam);
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30
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31 nBlocks = grid.nBlocks();
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33 obj.order = order;
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34
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35 % Create the diffOps for each block
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36 obj.diffOps = cell(1, nBlocks);
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37 for i = 1:nBlocks
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38 h = getHand(i);
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39 p = getParam(i);
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40 if ~iscell(p)
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41 p = {p};
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42 end
201
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43 obj.diffOps{i} = h(grid.grids{i}, order, p{:});
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44 end
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45
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47 % Build the norm matrix
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48 H = cell(nBlocks, nBlocks);
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49 for i = 1:nBlocks
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50 H{i,i} = obj.diffOps{i}.H;
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51 end
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52 obj.H = blockmatrix.toMatrix(H);
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53
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54
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55 % Build the differentiation matrix
729
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56 Ns = zeros(nBlocks,1);
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57 for i = 1:nBlocks
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58 Ns(i) = length(obj.diffOps{i}.D);
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59 end
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60 obj.blockmatrixDiv = {Ns, Ns};
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61 D = blockmatrix.zero(obj.blockmatrixDiv);
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62 for i = 1:nBlocks
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63 D{i,i} = obj.diffOps{i}.D;
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64 end
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65
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66 for i = 1:nBlocks
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67 for j = 1:nBlocks
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68 intf = grid.connections{i,j};
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69 if isempty(intf)
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70 continue
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71 end
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72
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73
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74 [ii, ij] = obj.diffOps{i}.interface(intf{1}, obj.diffOps{j}, intf{2});
186
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75 D{i,i} = D{i,i} + ii;
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76 D{i,j} = D{i,j} + ij;
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77
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78 [jj, ji] = obj.diffOps{j}.interface(intf{2}, obj.diffOps{i}, intf{1});
186
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79 D{j,j} = D{j,j} + jj;
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80 D{j,i} = D{j,i} + ji;
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81 end
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82 end
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83 obj.D = blockmatrix.toMatrix(D);
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84
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85
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86 function [getHand, getParam] = parseInput(doHand, grid, doParam)
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87 if ~isa(grid, 'multiblock.Grid')
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88 error('multiblock:DiffOp:DiffOp:InvalidGrid', 'Requires a multiblock grid.');
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89 end
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90
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91 if iscell(doHand) && length(doHand) == grid.nBlocks()
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92 getHand = @(i)doHand{i};
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93 elseif isa(doHand, 'function_handle')
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94 getHand = @(i)doHand;
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95 else
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96 error('multiblock:DiffOp:DiffOp:InvalidGridDoHand', 'doHand must be a function handle or a cell array of length grid.nBlocks');
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97 end
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98
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99 if isempty(doParam)
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100 getParam = @(i){};
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101 return
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102 end
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103
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104 if ~iscell(doParam)
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105 getParam = @(i)doParam;
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106 return
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107 end
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108
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109 % doParam is a non-empty cell-array
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110
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111 if length(doParam) == grid.nBlocks() && all(cellfun(@iscell, doParam))
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112 % doParam is a cell-array of cell-arrays
186
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113 getParam = @(i)doParam{i};
392
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114 return
186
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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115 end
392
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116
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117 getParam = @(i)doParam;
186
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118 end
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119 end
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120
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121 function ops = splitOp(obj, op)
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122 % Splits a matrix operator into a cell-matrix of matrix operators for
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123 % each grid.
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124 ops = sparse2cell(op, obj.NNN);
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125 end
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126
532
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127 % Get a boundary operator specified by opName for the given boundary/BoundaryGroup
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128 function op = getBoundaryOperator(obj, opName, boundary)
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129 switch class(boundary)
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130 case 'cell'
532
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131 localOpName = [opName '_' boundary{2}];
529
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132 blockId = boundary{1};
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133 localOp = obj.diffOps{blockId}.(localOpName);
344
61b75d6d4899 Added get method for boundary operators on multiblock DiffOp
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134
529
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135 div = {obj.blockmatrixDiv{1}, size(localOp,2)};
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136 blockOp = blockmatrix.zero(div);
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137 blockOp{blockId,1} = localOp;
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138 op = blockmatrix.toMatrix(blockOp);
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139 return
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140 case 'multiblock.BoundaryGroup'
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diff changeset
141 op = sparse(size(obj.D,1),0);
532
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142 for i = 1:length(boundary)
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diff changeset
143 op = [op, obj.getBoundaryOperator(opName, boundary{i})];
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144 end
529
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145 otherwise
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146 error('Unknown boundary indentifier')
344
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147 end
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148 end
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149
335
2d48db7151cf Bug fix in boundary condition.
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150 % Creates the closure and penalty matrix for a given boundary condition,
346
33b2ef863519 Allowed muliple closure BCs in multiblock.DiffOp.
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151 % boundary -- the name of the boundary on the form {id,name} where
202
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152 % id is the number of a block and name is the name of a
529
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153 % boundary of that block example: {1,'s'} or {3,'w'}. It
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154 % can also be a boundary group
335
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diff changeset
155 function [closure, penalty] = boundary_condition(obj, boundary, type)
529
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156 switch class(boundary)
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157 case 'cell'
534
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158 [closure, penalty] = obj.singleBoundaryCondition(boundary, type);
529
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diff changeset
159 case 'multiblock.BoundaryGroup'
534
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160 [n,m] = size(obj.D);
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diff changeset
161 closure = sparse(n,m);
584
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diff changeset
162 penalty = sparse(n,0);
534
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diff changeset
163 for i = 1:length(boundary)
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diff changeset
164 [closurePart, penaltyPart] = obj.boundary_condition(boundary{i}, type);
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diff changeset
165 closure = closure + closurePart;
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166 penalty = [penalty, penaltyPart];
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167 end
529
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168 otherwise
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diff changeset
169 error('Unknown boundary indentifier')
346
33b2ef863519 Allowed muliple closure BCs in multiblock.DiffOp.
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diff changeset
170 end
210
39b7dcb2c724 multiblock: Implemented boundary conditions.
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
171
186
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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172 end
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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173
533
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174 function [closure, penalty] = singleBoundaryCondition(obj, boundary, type)
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175 I = boundary{1};
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176 name = boundary{2};
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177
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178 % Get the closure and penaly matrices
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diff changeset
179 [blockClosure, blockPenalty] = obj.diffOps{I}.boundary_condition(name, type);
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diff changeset
180
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diff changeset
181 % Expand to matrix for full domain.
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diff changeset
182 div = obj.blockmatrixDiv;
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diff changeset
183 if ~iscell(blockClosure)
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diff changeset
184 temp = blockmatrix.zero(div);
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diff changeset
185 temp{I,I} = blockClosure;
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diff changeset
186 closure = blockmatrix.toMatrix(temp);
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187 else
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188 for i = 1:length(blockClosure)
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diff changeset
189 temp = blockmatrix.zero(div);
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190 temp{I,I} = blockClosure{i};
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diff changeset
191 closure{i} = blockmatrix.toMatrix(temp);
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192 end
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diff changeset
193 end
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diff changeset
194
06d1606d6977 Factor out function for handling a single boundary condition
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diff changeset
195 if ~iscell(blockPenalty)
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diff changeset
196 div{2} = size(blockPenalty, 2); % Penalty is a column vector
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diff changeset
197 p = blockmatrix.zero(div);
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198 p{I} = blockPenalty;
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diff changeset
199 penalty = blockmatrix.toMatrix(p);
06d1606d6977 Factor out function for handling a single boundary condition
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diff changeset
200 else
618
c360bbecf260 Add some todos
Jonatan Werpers <jonatan@werpers.com>
parents: 584
diff changeset
201 % TODO: used by beam equation, should be eliminated. SHould only set one BC per call
533
06d1606d6977 Factor out function for handling a single boundary condition
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diff changeset
202 for i = 1:length(blockPenalty)
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diff changeset
203 div{2} = size(blockPenalty{i}, 2); % Penalty is a column vector
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diff changeset
204 p = blockmatrix.zero(div);
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diff changeset
205 p{I} = blockPenalty{i};
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diff changeset
206 penalty{i} = blockmatrix.toMatrix(p);
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diff changeset
207 end
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diff changeset
208 end
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diff changeset
209 end
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diff changeset
210
202
e2fefb6f0746 multiblock.DiffOp: Fleshed out boundary_condition() a bit more
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parents: 201
diff changeset
211 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
522
68178e013868 Add not-implemented-error for interface method in multiblock.DiffOp
Jonatan Werpers <jonatan@werpers.com>
parents: 438
diff changeset
212 error('not implemented')
186
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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213 end
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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214
201
38f203f00f3a Exeendend tests of multiblock.DiffOp.
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diff changeset
215 % Size returns the number of degrees of freedom
186
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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parents:
diff changeset
216 function N = size(obj)
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diff changeset
217 N = 0;
201
38f203f00f3a Exeendend tests of multiblock.DiffOp.
Jonatan Werpers <jonatan@werpers.com>
parents: 186
diff changeset
218 for i = 1:length(obj.diffOps)
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parents: 186
diff changeset
219 N = N + obj.diffOps{i}.size();
186
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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220 end
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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parents:
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221 end
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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222 end
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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223 end