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annotate +multiblock/DiffOp.m @ 344:61b75d6d4899 feature/beams

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Added get method for boundary operators on multiblock DiffOp
author Jonatan Werpers <jonatan@werpers.com>
date Mon, 14 Nov 2016 14:54:53 -0800
parents ac30761d7bdb
children 33b2ef863519
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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)
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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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32
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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
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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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54
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55 % Build the differentiation matrix
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56 obj.blockmatrixDiv = {grid.Ns, grid.Ns};
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57 D = blockmatrix.zero(obj.blockmatrixDiv);
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58 for i = 1:nBlocks
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59 D{i,i} = obj.diffOps{i}.D;
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60 end
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61
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62 for i = 1:nBlocks
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63 for j = 1:nBlocks
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64 intf = grid.connections{i,j};
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65 if isempty(intf)
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66 continue
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67 end
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68
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69
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70 [ii, ij] = obj.diffOps{i}.interface(intf{1}, obj.diffOps{j}, intf{2});
186
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71 D{i,i} = D{i,i} + ii;
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72 D{i,j} = D{i,j} + ij;
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73
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74 [jj, ji] = obj.diffOps{j}.interface(intf{2}, obj.diffOps{i}, intf{1});
186
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75 D{j,j} = D{j,j} + jj;
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76 D{j,i} = D{j,i} + ji;
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77 end
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78 end
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79 obj.D = blockmatrix.toMatrix(D);
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81
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82 function [getHand, getParam] = parseInput(doHand, grid, doParam)
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83 if ~isa(grid, 'multiblock.Grid')
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84 error('multiblock:DiffOp:DiffOp:InvalidGrid', 'Requires a multiblock grid.');
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85 end
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86
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87 if iscell(doHand) && length(doHand) == grid.nBlocks()
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88 getHand = @(i)doHand{i};
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89 elseif isa(doHand, 'function_handle')
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90 getHand = @(i)doHand;
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91 else
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92 error('multiblock:DiffOp:DiffOp:InvalidGridDoHand', 'doHand must be a function handle or a cell array of length grid.nBlocks');
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93 end
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94
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95 if isempty(doParam)
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96 getParam = @(i){};
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97 elseif iscell(doParam) && length(doParam) == grid.nBlocks()
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98 getParam = @(i)doParam{i};
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99 else
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100 getParam = @(i)doParam;
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101 end
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102 end
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103 end
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105 function ops = splitOp(obj, op)
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106 % Splits a matrix operator into a cell-matrix of matrix operators for
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107 % each grid.
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108 ops = sparse2cell(op, obj.NNN);
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109 end
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110
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111 function op = getBoundaryOperator(obj, op, boundary)
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112 if iscell(boundary)
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113 localOpName = [op '_' boundary{2}];
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114 blockId = boundary{1};
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115 localOp = obj.diffOps{blockId}.(localOpName);
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116
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117 div = {obj.blockmatrixDiv{1}, size(localOp,2)};
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118 blockOp = blockmatrix.zero(div);
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119 blockOp{blockId,1} = localOp;
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120 op = blockmatrix.toMatrix(blockOp);
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121 return
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122 else
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123 % Boundary är en sträng med en boundary group i.
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124 end
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125 end
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126
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127 % Creates the closure and penalty matrix for a given boundary condition,
202
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128 % boundary -- the name of the boundary on the form [id][name] where
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129 % id is the number of a block and name is the name of a
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130 % boundary of that block example: 1s or 3w
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131 function [closure, penalty] = boundary_condition(obj, boundary, type)
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132 I = boundary{1};
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133 name = boundary{2};
186
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134
210
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135 % Get the closure and penaly matrices
216
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136 [blockClosure, blockPenalty] = obj.diffOps{I}.boundary_condition(name, type);
210
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137
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138 % Expand to matrix for full domain.
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139 div = obj.blockmatrixDiv;
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140 closure = blockmatrix.zero(div);
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141 closure{I,I} = blockClosure;
220
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142 closure = blockmatrix.toMatrix(closure);
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143
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144 div{2} = size(blockPenalty, 2); % Penalty is a column vector
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145 if ~iscell(blockPenalty)
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146 p = blockmatrix.zero(div);
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147 p{I} = blockPenalty;
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148 penalty = blockmatrix.toMatrix(p);
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149 else
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150 for i = 1:length(blockPenalty)
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151 p = blockmatrix.zero(div);
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152 p{I} = blockPenalty{i};
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153 penalty{i} = blockmatrix.toMatrix(p);
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154 end
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155 end
186
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156 end
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157
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158 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
186
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159
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160 end
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161
201
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162 % Size returns the number of degrees of freedom
186
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163 function N = size(obj)
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164 N = 0;
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165 for i = 1:length(obj.diffOps)
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166 N = N + obj.diffOps{i}.size();
186
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167 end
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168 end
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169 end
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170 end