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Add new class multiblock.InterfaceOptions whose instances are passed to multiblock.DiffOp.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 23 Nov 2018 20:12:54 -0800
parents 703183ed8c8b
children d232483eb72f
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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, interfaceOptions)
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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 % interfaceOptions (optional) -- An instance of class multiblock.InterfaceOptions
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29 % OR
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30 % nBlocks x nBlocks cell array of opts for
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31 % every interface.
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32 default_arg('doParam', [])
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33 default_arg('interfaceOptions', multiblock.InterfaceOptions(grid) ); % Empty options
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34 if isa(interfaceOptions, 'multiblock.InterfaceOptions');
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35 interfaceOptions = interfaceOptions.getOptions;
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36 end
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37
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38 [getHand, getParam] = parseInput(doHand, grid, doParam);
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39
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40 obj.order = order;
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41 nBlocks = grid.nBlocks();
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42
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43 % Create the diffOps for each block
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44 obj.diffOps = cell(1, nBlocks);
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45 for i = 1:nBlocks
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46 h = getHand(i);
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47 p = getParam(i);
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48 if ~iscell(p)
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49 p = {p};
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50 end
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51 obj.diffOps{i} = h(grid.grids{i}, order, p{:});
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52 end
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55 % Build the norm matrix
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56 H = cell(nBlocks, nBlocks);
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57 for i = 1:nBlocks
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58 H{i,i} = obj.diffOps{i}.H;
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59 end
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60 obj.H = blockmatrix.toMatrix(H);
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61
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63 % Build the differentiation matrix
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64 obj.blockmatrixDiv = {grid.Ns, grid.Ns};
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65 D = blockmatrix.zero(obj.blockmatrixDiv);
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66 for i = 1:nBlocks
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67 D{i,i} = obj.diffOps{i}.D;
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68 end
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70 for i = 1:nBlocks
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71 for j = 1:nBlocks
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72 intf = grid.connections{i,j};
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73 if isempty(intf)
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74 continue
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75 end
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76
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77 intfOpts = interfaceOptions{i,j};
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79 [ii, ij] = obj.diffOps{i}.interface(intf{1}, obj.diffOps{j}, intf{2}, intfOpts{1});
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80 D{i,i} = D{i,i} + ii;
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81 D{i,j} = D{i,j} + ij;
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82
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83 [jj, ji] = obj.diffOps{j}.interface(intf{2}, obj.diffOps{i}, intf{1}, intfOpts{2});
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84 D{j,j} = D{j,j} + jj;
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85 D{j,i} = D{j,i} + ji;
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86 end
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87 end
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88 obj.D = blockmatrix.toMatrix(D);
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90
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91 function [getHand, getParam] = parseInput(doHand, grid, doParam)
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92 if ~isa(grid, 'multiblock.Grid')
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93 error('multiblock:DiffOp:DiffOp:InvalidGrid', 'Requires a multiblock grid.');
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94 end
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95
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96 if iscell(doHand) && length(doHand) == grid.nBlocks()
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97 getHand = @(i)doHand{i};
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98 elseif isa(doHand, 'function_handle')
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99 getHand = @(i)doHand;
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100 else
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101 error('multiblock:DiffOp:DiffOp:InvalidGridDoHand', 'doHand must be a function handle or a cell array of length grid.nBlocks');
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102 end
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103
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104 if isempty(doParam)
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105 getParam = @(i){};
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106 return
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107 end
30ff8879162e Better input parsing for multiblock DiffOp.
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
108
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diff changeset
109 if ~iscell(doParam)
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diff changeset
110 getParam = @(i)doParam;
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diff changeset
111 return
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diff changeset
112 end
30ff8879162e Better input parsing for multiblock DiffOp.
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diff changeset
113
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114 % doParam is a non-empty cell-array
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diff changeset
115
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diff changeset
116 if length(doParam) == grid.nBlocks() && all(cellfun(@iscell, doParam))
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117 % doParam is a cell-array of cell-arrays
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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118 getParam = @(i)doParam{i};
392
30ff8879162e Better input parsing for multiblock DiffOp.
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diff changeset
119 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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parents:
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120 end
392
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diff changeset
121
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122 getParam = @(i)doParam;
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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123 end
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124 end
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125
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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126 function ops = splitOp(obj, op)
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127 % Splits a matrix operator into a cell-matrix of matrix operators for
1fc2eeb4f4e6 Moved multiblock grid to the multiblock package. Continued implementation. Added multiblock diffOp and removed some functions no longer needed.
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128 % each grid.
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129 ops = sparse2cell(op, obj.NNN);
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130 end
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131
532
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diff changeset
132 % Get a boundary operator specified by opName for the given boundary/BoundaryGroup
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133 function op = getBoundaryOperator(obj, opName, boundary)
529
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134 switch class(boundary)
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135 case 'cell'
532
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diff changeset
136 localOpName = [opName '_' boundary{2}];
529
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diff changeset
137 blockId = boundary{1};
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diff changeset
138 localOp = obj.diffOps{blockId}.(localOpName);
344
61b75d6d4899 Added get method for boundary operators on multiblock DiffOp
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diff changeset
139
529
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diff changeset
140 div = {obj.blockmatrixDiv{1}, size(localOp,2)};
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141 blockOp = blockmatrix.zero(div);
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diff changeset
142 blockOp{blockId,1} = localOp;
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diff changeset
143 op = blockmatrix.toMatrix(blockOp);
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diff changeset
144 return
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diff changeset
145 case 'multiblock.BoundaryGroup'
584
b0386d2c180d In case of empty grids, make grid functions with the correct dimensions
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parents: 534
diff changeset
146 op = sparse(size(obj.D,1),0);
532
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diff changeset
147 for i = 1:length(boundary)
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diff changeset
148 op = [op, obj.getBoundaryOperator(opName, boundary{i})];
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149 end
529
2ec8080027ab Add some documentation and decide on public function signatures
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diff changeset
150 otherwise
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diff changeset
151 error('Unknown boundary indentifier')
344
61b75d6d4899 Added get method for boundary operators on multiblock DiffOp
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diff changeset
152 end
61b75d6d4899 Added get method for boundary operators on multiblock DiffOp
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parents: 343
diff changeset
153 end
61b75d6d4899 Added get method for boundary operators on multiblock DiffOp
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
154
335
2d48db7151cf Bug fix in boundary condition.
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diff changeset
155 % Creates the closure and penalty matrix for a given boundary condition,
346
33b2ef863519 Allowed muliple closure BCs in multiblock.DiffOp.
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diff changeset
156 % boundary -- the name of the boundary on the form {id,name} where
202
e2fefb6f0746 multiblock.DiffOp: Fleshed out boundary_condition() a bit more
Jonatan Werpers <jonatan@werpers.com>
parents: 201
diff changeset
157 % id is the number of a block and name is the name of a
529
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Jonatan Werpers <jonatan@werpers.com>
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diff changeset
158 % boundary of that block example: {1,'s'} or {3,'w'}. It
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diff changeset
159 % can also be a boundary group
335
2d48db7151cf Bug fix in boundary condition.
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diff changeset
160 function [closure, penalty] = boundary_condition(obj, boundary, type)
529
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diff changeset
161 switch class(boundary)
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diff changeset
162 case 'cell'
534
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diff changeset
163 [closure, penalty] = obj.singleBoundaryCondition(boundary, type);
529
2ec8080027ab Add some documentation and decide on public function signatures
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parents: 522
diff changeset
164 case 'multiblock.BoundaryGroup'
534
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diff changeset
165 [n,m] = size(obj.D);
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diff changeset
166 closure = sparse(n,m);
584
b0386d2c180d In case of empty grids, make grid functions with the correct dimensions
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
167 penalty = sparse(n,0);
534
55a7777dfcd0 Implement boundary_condition for boundary groups
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diff changeset
168 for i = 1:length(boundary)
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diff changeset
169 [closurePart, penaltyPart] = obj.boundary_condition(boundary{i}, type);
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diff changeset
170 closure = closure + closurePart;
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diff changeset
171 penalty = [penalty, penaltyPart];
55a7777dfcd0 Implement boundary_condition for boundary groups
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parents: 533
diff changeset
172 end
529
2ec8080027ab Add some documentation and decide on public function signatures
Jonatan Werpers <jonatan@werpers.com>
parents: 522
diff changeset
173 otherwise
2ec8080027ab Add some documentation and decide on public function signatures
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
174 error('Unknown boundary indentifier')
346
33b2ef863519 Allowed muliple closure BCs in multiblock.DiffOp.
Jonatan Werpers <jonatan@werpers.com>
parents: 344
diff changeset
175 end
210
39b7dcb2c724 multiblock: Implemented boundary conditions.
Jonatan Werpers <jonatan@werpers.com>
parents: 202
diff changeset
176
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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177 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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diff changeset
178
533
06d1606d6977 Factor out function for handling a single boundary condition
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diff changeset
179 function [closure, penalty] = singleBoundaryCondition(obj, boundary, type)
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diff changeset
180 I = boundary{1};
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diff changeset
181 name = boundary{2};
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diff changeset
182
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diff changeset
183 % Get the closure and penaly matrices
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diff changeset
184 [blockClosure, blockPenalty] = obj.diffOps{I}.boundary_condition(name, type);
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Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
185
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Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
186 % Expand to matrix for full domain.
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Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
187 div = obj.blockmatrixDiv;
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parents: 532
diff changeset
188 if ~iscell(blockClosure)
06d1606d6977 Factor out function for handling a single boundary condition
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diff changeset
189 temp = blockmatrix.zero(div);
06d1606d6977 Factor out function for handling a single boundary condition
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parents: 532
diff changeset
190 temp{I,I} = blockClosure;
06d1606d6977 Factor out function for handling a single boundary condition
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parents: 532
diff changeset
191 closure = blockmatrix.toMatrix(temp);
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
192 else
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
193 for i = 1:length(blockClosure)
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
194 temp = blockmatrix.zero(div);
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
195 temp{I,I} = blockClosure{i};
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
196 closure{i} = blockmatrix.toMatrix(temp);
06d1606d6977 Factor out function for handling a single boundary condition
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parents: 532
diff changeset
197 end
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
198 end
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
199
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
200 if ~iscell(blockPenalty)
06d1606d6977 Factor out function for handling a single boundary condition
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parents: 532
diff changeset
201 div{2} = size(blockPenalty, 2); % Penalty is a column vector
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
202 p = blockmatrix.zero(div);
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
203 p{I} = blockPenalty;
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
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diff changeset
204 penalty = blockmatrix.toMatrix(p);
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
205 else
618
c360bbecf260 Add some todos
Jonatan Werpers <jonatan@werpers.com>
parents: 584
diff changeset
206 % 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
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
207 for i = 1:length(blockPenalty)
06d1606d6977 Factor out function for handling a single boundary condition
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diff changeset
208 div{2} = size(blockPenalty{i}, 2); % Penalty is a column vector
06d1606d6977 Factor out function for handling a single boundary condition
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diff changeset
209 p = blockmatrix.zero(div);
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
210 p{I} = blockPenalty{i};
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
211 penalty{i} = blockmatrix.toMatrix(p);
06d1606d6977 Factor out function for handling a single boundary condition
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parents: 532
diff changeset
212 end
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
213 end
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
214 end
06d1606d6977 Factor out function for handling a single boundary condition
Jonatan Werpers <jonatan@werpers.com>
parents: 532
diff changeset
215
202
e2fefb6f0746 multiblock.DiffOp: Fleshed out boundary_condition() a bit more
Jonatan Werpers <jonatan@werpers.com>
parents: 201
diff changeset
216 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
217 error('not implemented')
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:
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218 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:
diff changeset
219
201
38f203f00f3a Exeendend tests of multiblock.DiffOp.
Jonatan Werpers <jonatan@werpers.com>
parents: 186
diff changeset
220 % 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
221 function N = size(obj)
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
222 N = 0;
201
38f203f00f3a Exeendend tests of multiblock.DiffOp.
Jonatan Werpers <jonatan@werpers.com>
parents: 186
diff changeset
223 for i = 1:length(obj.diffOps)
38f203f00f3a Exeendend tests of multiblock.DiffOp.
Jonatan Werpers <jonatan@werpers.com>
parents: 186
diff changeset
224 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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parents:
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225 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
226 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:
diff changeset
227 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:
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228 end