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annotate +multiblock/DiffOp.m @ 577:e45c9b56d50d feature/grids

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Add an Empty grid class The need turned up for the flexural code when we may or may not have a grid for the open water and want to plot that solution. In case there is no open water we need an empty grid to plot the empty gridfunction against to avoid errors.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 07 Sep 2017 09:16:12 +0200
parents 55a7777dfcd0
children b0386d2c180d
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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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
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43 obj.diffOps{i} = h(grid.grids{i}, order, p{:});
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44 end
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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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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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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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69
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70 [ii, ij] = obj.diffOps{i}.interface(intf{1}, obj.diffOps{j}, intf{2});
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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});
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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 return
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98 end
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99
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100 if ~iscell(doParam)
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101 getParam = @(i)doParam;
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102 return
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103 end
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104
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105 % doParam is a non-empty cell-array
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106
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107 if length(doParam) == grid.nBlocks() && all(cellfun(@iscell, doParam))
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108 % doParam is a cell-array of cell-arrays
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109 getParam = @(i)doParam{i};
392
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110 return
186
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111 end
392
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112
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113 getParam = @(i)doParam;
186
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114 end
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115 end
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116
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117 function ops = splitOp(obj, op)
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118 % Splits a matrix operator into a cell-matrix of matrix operators for
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119 % each grid.
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120 ops = sparse2cell(op, obj.NNN);
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121 end
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122
532
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123 % Get a boundary operator specified by opName for the given boundary/BoundaryGroup
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124 function op = getBoundaryOperator(obj, opName, boundary)
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125 switch class(boundary)
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126 case 'cell'
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127 localOpName = [opName '_' boundary{2}];
529
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128 blockId = boundary{1};
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129 localOp = obj.diffOps{blockId}.(localOpName);
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130
529
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131 div = {obj.blockmatrixDiv{1}, size(localOp,2)};
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132 blockOp = blockmatrix.zero(div);
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133 blockOp{blockId,1} = localOp;
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134 op = blockmatrix.toMatrix(blockOp);
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135 return
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136 case 'multiblock.BoundaryGroup'
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137 op = [];
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138 for i = 1:length(boundary)
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139 op = [op, obj.getBoundaryOperator(opName, boundary{i})];
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140 end
529
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141 otherwise
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142 error('Unknown boundary indentifier')
344
61b75d6d4899 Added get method for boundary operators on multiblock DiffOp
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143 end
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144 end
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145
335
2d48db7151cf Bug fix in boundary condition.
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146 % Creates the closure and penalty matrix for a given boundary condition,
346
33b2ef863519 Allowed muliple closure BCs in multiblock.DiffOp.
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147 % boundary -- the name of the boundary on the form {id,name} where
202
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148 % id is the number of a block and name is the name of a
529
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149 % boundary of that block example: {1,'s'} or {3,'w'}. It
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150 % can also be a boundary group
335
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151 function [closure, penalty] = boundary_condition(obj, boundary, type)
529
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152 switch class(boundary)
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153 case 'cell'
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154 [closure, penalty] = obj.singleBoundaryCondition(boundary, type);
529
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155 case 'multiblock.BoundaryGroup'
534
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156 [n,m] = size(obj.D);
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157 closure = sparse(n,m);
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158 penalty = [];
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159 for i = 1:length(boundary)
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160 [closurePart, penaltyPart] = obj.boundary_condition(boundary{i}, type);
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161 closure = closure + closurePart;
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162 penalty = [penalty, penaltyPart];
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163 end
529
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164 otherwise
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165 error('Unknown boundary indentifier')
346
33b2ef863519 Allowed muliple closure BCs in multiblock.DiffOp.
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166 end
210
39b7dcb2c724 multiblock: Implemented boundary conditions.
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167
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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168 end
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169
533
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170 function [closure, penalty] = singleBoundaryCondition(obj, boundary, type)
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171 I = boundary{1};
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172 name = boundary{2};
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173
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174 % Get the closure and penaly matrices
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175 [blockClosure, blockPenalty] = obj.diffOps{I}.boundary_condition(name, type);
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176
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177 % Expand to matrix for full domain.
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178 div = obj.blockmatrixDiv;
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179 if ~iscell(blockClosure)
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180 temp = blockmatrix.zero(div);
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181 temp{I,I} = blockClosure;
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182 closure = blockmatrix.toMatrix(temp);
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183 else
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184 for i = 1:length(blockClosure)
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185 temp = blockmatrix.zero(div);
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186 temp{I,I} = blockClosure{i};
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187 closure{i} = blockmatrix.toMatrix(temp);
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188 end
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189 end
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190
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191 if ~iscell(blockPenalty)
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192 div{2} = size(blockPenalty, 2); % Penalty is a column vector
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193 p = blockmatrix.zero(div);
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194 p{I} = blockPenalty;
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195 penalty = blockmatrix.toMatrix(p);
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196 else
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197 for i = 1:length(blockPenalty)
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198 div{2} = size(blockPenalty{i}, 2); % Penalty is a column vector
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199 p = blockmatrix.zero(div);
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200 p{I} = blockPenalty{i};
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201 penalty{i} = blockmatrix.toMatrix(p);
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202 end
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diff changeset
203 end
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diff changeset
204 end
06d1606d6977 Factor out function for handling a single boundary condition
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diff changeset
205
202
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diff changeset
206 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
522
68178e013868 Add not-implemented-error for interface method in multiblock.DiffOp
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diff changeset
207 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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208 end
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209
201
38f203f00f3a Exeendend tests of multiblock.DiffOp.
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diff changeset
210 % 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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211 function N = size(obj)
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212 N = 0;
201
38f203f00f3a Exeendend tests of multiblock.DiffOp.
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diff changeset
213 for i = 1:length(obj.diffOps)
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diff changeset
214 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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215 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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216 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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217 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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218 end