annotate +multiblock/DiffOp.m @ 335:2d48db7151cf feature/beams

Bug fix in boundary condition.
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 21 Oct 2016 11:31:06 +0200
parents 0fc1de5cd85b
children ac30761d7bdb
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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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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 obj.diffOps{i} = h(grid.grids{i}, order, p{:});
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41 end
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44 % Build the norm matrix
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45 H = cell(nBlocks, nBlocks);
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46 for i = 1:nBlocks
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47 H{i,i} = obj.diffOps{i}.H;
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48 end
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49 obj.H = blockmatrix.toMatrix(H);
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52 % Build the differentiation matrix
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53 obj.blockmatrixDiv = {grid.Ns, grid.Ns};
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54 D = blockmatrix.zero(obj.blockmatrixDiv);
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55 for i = 1:nBlocks
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56 D{i,i} = obj.diffOps{i}.D;
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57 end
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58
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59 for i = 1:nBlocks
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60 for j = 1:nBlocks
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61 intf = grid.connections{i,j};
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62 if isempty(intf)
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63 continue
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64 end
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65
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66
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67 [ii, ij] = obj.diffOps{i}.interface(intf{1}, obj.diffOps{j}, intf{2});
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68 D{i,i} = D{i,i} + ii;
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69 D{i,j} = D{i,j} + ij;
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70
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71 [jj, ji] = obj.diffOps{j}.interface(intf{2}, obj.diffOps{i}, intf{1});
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72 D{j,j} = D{j,j} + jj;
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73 D{j,i} = D{j,i} + ji;
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74 end
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75 end
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76 obj.D = blockmatrix.toMatrix(D);
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78
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79 function [getHand, getParam] = parseInput(doHand, grid, doParam)
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80 if ~isa(grid, 'multiblock.Grid')
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81 error('multiblock:DiffOp:DiffOp:InvalidGrid', 'Requires a multiblock grid.');
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82 end
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83
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84 if iscell(doHand) && length(doHand) == grid.nBlocks()
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85 getHand = @(i)doHand{i};
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86 elseif isa(doHand, 'function_handle')
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87 getHand = @(i)doHand;
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88 else
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89 error('multiblock:DiffOp:DiffOp:InvalidGridDoHand', 'doHand must be a function handle or a cell array of length grid.nBlocks');
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90 end
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91
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92 if isempty(doParam)
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93 getParam = @(i){};
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94 elseif iscell(doParam) && length(doParam) == grid.nBlocks()
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95 getParam = @(i)doParam{i};
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96 else
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97 getParam = @(i)doParam;
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98 end
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99 end
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100 end
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101
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102 function ops = splitOp(obj, op)
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103 % Splits a matrix operator into a cell-matrix of matrix operators for
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104 % each grid.
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105 ops = sparse2cell(op, obj.NNN);
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106 end
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107
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108 % Creates the closure and penalty matrix for a given boundary condition,
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109 % boundary -- the name of the boundary on the form [id][name] where
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110 % id is the number of a block and name is the name of a
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111 % boundary of that block example: 1s or 3w
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112 function [closure, penalty] = boundary_condition(obj, boundary, type)
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113 I = boundary{1};
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114 name = boundary{2};
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115
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116 % Get the closure and penaly matrices
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117 [blockClosure, blockPenalty] = obj.diffOps{I}.boundary_condition(name, type);
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118
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119 % Expand to matrix for full domain.
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120 div = obj.blockmatrixDiv;
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121 closure = blockmatrix.zero(div);
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122 closure{I,I} = blockClosure;
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123 closure = blockmatrix.toMatrix(closure);
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124
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125 div{2} = size(blockPenalty, 2); % Penalty is a column vector
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126 if ~iscell(blockPenalty)
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127 p = blockmatrix.zero(div);
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128 p{I} = blockPenalty;
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129 penalty = blockmatrix.toMatrix(p);
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130 else
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131 for i = 1:length(blockPenalty)
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132 p = blockmatrix.zero(div);
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133 p{I} = blockPenalty{i};
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134 penalty{i} = blockmatrix.toMatrix(p);
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135 end
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136 end
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137 end
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138
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139 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
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140
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141 end
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142
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143 % Size returns the number of degrees of freedom
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144 function N = size(obj)
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145 N = 0;
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146 for i = 1:length(obj.diffOps)
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147 N = N + obj.diffOps{i}.size();
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148 end
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149 end
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150 end
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151 end