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annotate +multiblock/DiffOp.m @ 210:39b7dcb2c724 feature/grids

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multiblock: Implemented boundary conditions.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 16 Jun 2016 09:21:17 +0200
parents e2fefb6f0746
children 8b10476b9bb7
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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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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 obj.diffOps{i} = h(grid.grids{i}, order, p{:});
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41 end
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42
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43
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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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50
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51
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52 % Build the differentiation matrix
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53 D = cell(nBlocks, nBlocks);
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54 for i = 1:nBlocks
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55 D{i,i} = obj.diffOps{i}.D;
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56 end
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57
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58 for i = 1:nBlocks
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59 for j = i:nBlocks
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60 intf = grid.connections{i,j};
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61 if isempty(intf)
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62 continue
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63 end
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64
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65 [ii, ij] = obj.diffOps{i}.interface(intf{1}, obj.diffOps{j}, intf{2});
186
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66 D{i,i} = D{i,i} + ii;
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67 D{i,j} = D{i,j} + ij;
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68
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69 [jj, ji] = obj.diffOps{j}.interface(intf{2}, obj.diffOps{i}, intf{1});
186
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70 D{j,j} = D{j,j} + jj;
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71 D{j,i} = D{j,i} + ji;
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72 end
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73 end
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74 obj.D = blockmatrix.toMatrix(D);
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75
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76 obj.blockmatrixDiv = blockmatrix.getDivision(D);
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77
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78 function [getHand, getParam] = parseInput(doHand, grid, doParam)
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79 if ~isa(grid, 'multiblock.Grid')
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80 error('multiblock:DiffOp:DiffOp:InvalidGrid', 'Requires a multiblock grid.');
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81 end
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82
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83 if iscell(doHand) && length(doHand) == grid.nBlocks()
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84 getHand = @(i)doHand{i};
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85 elseif isa(doHand, 'function_handle')
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86 getHand = @(i)doHand;
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87 else
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88 error('multiblock:DiffOp:DiffOp:InvalidGridDoHand', 'doHand must be a function handle or a cell array of length grid.nBlocks');
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89 end
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90
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91 if isempty(doParam)
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92 getParam = @(i){};
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93 elseif iscell(doParam) && length(doParam) == grid.nBlocks()
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94 getParam = @(i)doParam{i};
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95 else
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96 getParam = @(i)doParam;
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97 end
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98 end
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99 end
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100
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101 function ops = splitOp(obj, op)
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102 % Splits a matrix operator into a cell-matrix of matrix operators for
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103 % each grid.
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104 ops = sparse2cell(op, obj.NNN);
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105 end
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106
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107 % Creates the closere and penalty matrix for a given boundary condition,
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108 % boundary -- the name of the boundary on the form [id][name] where
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109 % id is the number of a block and name is the name of a
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110 % boundary of that block example: 1s or 3w
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111 function [closure, penalty] = boundary_condition(obj,boundary,type,data)
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112 I = boundary(1)
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113 name = boundary(2:end);
186
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114
210
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115 % Get the closure and penaly matrices
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116 [blockClosure, blockPenalty] = obj.diffOps{I}.boundary_condition(name, type, data);
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117
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118 % Expand to matrix for full domain.
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119 div = obj.blockmatrixDiv;
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120 closure = blockmatrix.zero(div);
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121 closure{I,I} = blockClosure;
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122
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123 div{2} = 1; % Penalty is a column vector
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124 penalty = blockmatrix.zero(div);
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125 penalty{I} = blockPenalty;
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126
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127 % Convert to matrix
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128 closure = blockmatrix.toMatrix(closure);
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129 penalty = blockmatrix.toMatrix(closure);
186
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130 end
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131
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132 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
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133
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134 end
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135
201
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136 % Size returns the number of degrees of freedom
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137 function N = size(obj)
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138 N = 0;
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139 for i = 1:length(obj.diffOps)
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140 N = N + obj.diffOps{i}.size();
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141 end
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142 end
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143 end
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144 end