Mercurial > repos > public > sbplib
annotate +multiblock/DiffOp.m @ 928:1c61d8fa9903 feature/utux2D
Replace opts by type everywhere
author | Martin Almquist <malmquist@stanford.edu> |
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date | Mon, 03 Dec 2018 15:01:24 -0800 |
parents | d232483eb72f |
children | 21394c78c72e |
rev | line source |
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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, intfTypes) |
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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 % |
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28 % intfTypes (optional) -- nBlocks x nBlocks cell array of types for |
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29 % every interface. |
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30 default_arg('doParam', []) |
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31 default_arg('intfTypes', cell(grid.nBlocks(), grid.nBlocks()) ); |
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32 |
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33 [getHand, getParam] = parseInput(doHand, grid, doParam); |
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34 |
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35 obj.order = order; |
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36 nBlocks = grid.nBlocks(); |
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37 |
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38 % Create the diffOps for each block |
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39 obj.diffOps = cell(1, nBlocks); |
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40 for i = 1:nBlocks |
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41 h = getHand(i); |
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42 p = getParam(i); |
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43 if ~iscell(p) |
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44 p = {p}; |
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45 end |
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46 obj.diffOps{i} = h(grid.grids{i}, order, p{:}); |
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47 end |
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48 |
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49 |
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50 % Build the norm matrix |
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51 H = cell(nBlocks, nBlocks); |
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52 for i = 1:nBlocks |
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53 H{i,i} = obj.diffOps{i}.H; |
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54 end |
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55 obj.H = blockmatrix.toMatrix(H); |
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56 |
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57 |
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58 % Build the differentiation matrix |
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59 obj.blockmatrixDiv = {grid.Ns, grid.Ns}; |
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60 D = blockmatrix.zero(obj.blockmatrixDiv); |
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61 for i = 1:nBlocks |
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62 D{i,i} = obj.diffOps{i}.D; |
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63 end |
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64 |
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65 for i = 1:nBlocks |
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66 for j = 1:nBlocks |
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67 intf = grid.connections{i,j}; |
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68 if isempty(intf) |
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69 continue |
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70 end |
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71 |
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72 [ii, ij] = obj.diffOps{i}.interface(intf{1}, obj.diffOps{j}, intf{2}, intfTypes{i,j}); |
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73 D{i,i} = D{i,i} + ii; |
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74 D{i,j} = D{i,j} + ij; |
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75 |
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76 [jj, ji] = obj.diffOps{j}.interface(intf{2}, obj.diffOps{i}, intf{1}, intfTypes{i,j}); |
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77 D{j,j} = D{j,j} + jj; |
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78 D{j,i} = D{j,i} + ji; |
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79 end |
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80 end |
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81 obj.D = blockmatrix.toMatrix(D); |
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82 |
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83 |
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84 function [getHand, getParam] = parseInput(doHand, grid, doParam) |
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85 if ~isa(grid, 'multiblock.Grid') |
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86 error('multiblock:DiffOp:DiffOp:InvalidGrid', 'Requires a multiblock grid.'); |
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87 end |
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88 |
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89 if iscell(doHand) && length(doHand) == grid.nBlocks() |
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90 getHand = @(i)doHand{i}; |
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91 elseif isa(doHand, 'function_handle') |
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92 getHand = @(i)doHand; |
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93 else |
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94 error('multiblock:DiffOp:DiffOp:InvalidGridDoHand', 'doHand must be a function handle or a cell array of length grid.nBlocks'); |
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95 end |
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96 |
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97 if isempty(doParam) |
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98 getParam = @(i){}; |
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99 return |
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100 end |
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101 |
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102 if ~iscell(doParam) |
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103 getParam = @(i)doParam; |
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104 return |
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105 end |
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106 |
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107 % doParam is a non-empty cell-array |
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108 |
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109 if length(doParam) == grid.nBlocks() && all(cellfun(@iscell, doParam)) |
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110 % doParam is a cell-array of cell-arrays |
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111 getParam = @(i)doParam{i}; |
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112 return |
186
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113 end |
392
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114 |
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115 getParam = @(i)doParam; |
186
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116 end |
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117 end |
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118 |
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119 function ops = splitOp(obj, op) |
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120 % Splits a matrix operator into a cell-matrix of matrix operators for |
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121 % each grid. |
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122 ops = sparse2cell(op, obj.NNN); |
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123 end |
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124 |
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125 % Get a boundary operator specified by opName for the given boundary/BoundaryGroup |
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126 function op = getBoundaryOperator(obj, opName, boundary) |
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127 switch class(boundary) |
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128 case 'cell' |
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129 localOpName = [opName '_' boundary{2}]; |
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130 blockId = boundary{1}; |
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131 localOp = obj.diffOps{blockId}.(localOpName); |
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132 |
529
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133 div = {obj.blockmatrixDiv{1}, size(localOp,2)}; |
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134 blockOp = blockmatrix.zero(div); |
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135 blockOp{blockId,1} = localOp; |
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136 op = blockmatrix.toMatrix(blockOp); |
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137 return |
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138 case 'multiblock.BoundaryGroup' |
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139 op = sparse(size(obj.D,1),0); |
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140 for i = 1:length(boundary) |
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141 op = [op, obj.getBoundaryOperator(opName, boundary{i})]; |
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142 end |
529
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143 otherwise |
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144 error('Unknown boundary indentifier') |
344
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145 end |
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146 end |
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147 |
335
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148 % Creates the closure and penalty matrix for a given boundary condition, |
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149 % boundary -- the name of the boundary on the form {id,name} where |
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150 % id is the number of a block and name is the name of a |
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151 % boundary of that block example: {1,'s'} or {3,'w'}. It |
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152 % can also be a boundary group |
335
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153 function [closure, penalty] = boundary_condition(obj, boundary, type) |
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154 switch class(boundary) |
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155 case 'cell' |
534
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156 [closure, penalty] = obj.singleBoundaryCondition(boundary, type); |
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157 case 'multiblock.BoundaryGroup' |
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158 [n,m] = size(obj.D); |
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159 closure = sparse(n,m); |
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160 penalty = sparse(n,0); |
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161 for i = 1:length(boundary) |
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162 [closurePart, penaltyPart] = obj.boundary_condition(boundary{i}, type); |
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163 closure = closure + closurePart; |
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164 penalty = [penalty, penaltyPart]; |
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165 end |
529
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166 otherwise |
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167 error('Unknown boundary indentifier') |
346
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|
168 end |
210
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202
diff
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169 |
186
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170 end |
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171 |
533
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172 function [closure, penalty] = singleBoundaryCondition(obj, boundary, type) |
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173 I = boundary{1}; |
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174 name = boundary{2}; |
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175 |
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176 % Get the closure and penaly matrices |
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177 [blockClosure, blockPenalty] = obj.diffOps{I}.boundary_condition(name, type); |
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178 |
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179 % Expand to matrix for full domain. |
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180 div = obj.blockmatrixDiv; |
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181 if ~iscell(blockClosure) |
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182 temp = blockmatrix.zero(div); |
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183 temp{I,I} = blockClosure; |
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184 closure = blockmatrix.toMatrix(temp); |
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185 else |
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186 for i = 1:length(blockClosure) |
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187 temp = blockmatrix.zero(div); |
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188 temp{I,I} = blockClosure{i}; |
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189 closure{i} = blockmatrix.toMatrix(temp); |
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190 end |
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191 end |
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192 |
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193 if ~iscell(blockPenalty) |
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194 div{2} = size(blockPenalty, 2); % Penalty is a column vector |
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195 p = blockmatrix.zero(div); |
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196 p{I} = blockPenalty; |
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197 penalty = blockmatrix.toMatrix(p); |
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198 else |
618 | 199 % TODO: used by beam equation, should be eliminated. SHould only set one BC per call |
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200 for i = 1:length(blockPenalty) |
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201 div{2} = size(blockPenalty{i}, 2); % Penalty is a column vector |
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202 p = blockmatrix.zero(div); |
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203 p{I} = blockPenalty{i}; |
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204 penalty{i} = blockmatrix.toMatrix(p); |
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205 end |
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206 end |
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207 end |
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208 |
202
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209 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary) |
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210 error('not implemented') |
186
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211 end |
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212 |
201
38f203f00f3a
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diff
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|
213 % Size returns the number of degrees of freedom |
186
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214 function N = size(obj) |
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215 N = 0; |
201
38f203f00f3a
Exeendend tests of multiblock.DiffOp.
Jonatan Werpers <jonatan@werpers.com>
parents:
186
diff
changeset
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216 for i = 1:length(obj.diffOps) |
38f203f00f3a
Exeendend tests of multiblock.DiffOp.
Jonatan Werpers <jonatan@werpers.com>
parents:
186
diff
changeset
|
217 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.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff
changeset
|
218 end |
1fc2eeb4f4e6
Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff
changeset
|
219 end |
1fc2eeb4f4e6
Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff
changeset
|
220 end |
1fc2eeb4f4e6
Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff
changeset
|
221 end |