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annotate +grid/Cartesian.m @ 1336:0666629aa183 feature/D2_boundary_opt

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Add methods for creating grids with different grid point distributions for each coordinate direction, and also supports constructing periodic grids
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 13 May 2022 13:26:16 +0200
parents 031d6db97270
children
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ce10ebde3123 Added abstract class Structured.
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1 classdef Cartesian < grid.Structured
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2 properties
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3 n % Number of points in the grid
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4 d % Number of dimensions
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5 m % Number of points in each direction
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6 x % Cell array of vectors with node placement for each dimension.
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7 h % Spacing/Scaling
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fcf004066ea9 Add property lim to grid/Cartesian to make periodic discr easier.
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8 lim % Cell array of left and right boundaries for each dimension.
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9 end
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10
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11 % General d dimensional grid with n points
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12 methods
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13 % Creates a cartesian grid given vectors conatining the coordinates
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14 % in each direction
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15 function obj = Cartesian(varargin)
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16 obj.d = length(varargin);
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17
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18 for i = 1:obj.d
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19 assert(isnumeric(varargin{i}), 'Coordinate inputs must be vectors.')
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20
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21 obj.x{i} = varargin{i};
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22 obj.m(i) = length(varargin{i});
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23 end
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24
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25 obj.n = prod(obj.m);
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26 if obj.n == 0
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27 error('grid:Cartesian:EmptyGrid','Input parameter gives an empty grid.')
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28 end
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29
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30 obj.h = [];
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31
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32 obj.lim = cell(1,obj.d);
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33 for i = 1:obj.d
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34 obj.lim{i} = {obj.x{i}(1), obj.x{i}(end)};
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35 end
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36 end
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37 % n returns the number of points in the grid
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38 function o = N(obj)
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39 o = obj.n;
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40 end
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41
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42 % d returns the spatial dimension of the grid
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43 function o = D(obj)
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44 o = obj.d;
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45 end
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46
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47 function m = size(obj)
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48 m = obj.m;
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49 end
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50
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51 % points returns a n x d matrix containing the coordianets for all points.
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52 % points are ordered according to the kronecker product with X*Y*Z
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53 function X = points(obj)
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54 X = zeros(obj.n, obj.d);
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55
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56 for i = 1:obj.d
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57 if iscolumn(obj.x{i})
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58 c = obj.x{i};
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59 else
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60 c = obj.x{i}';
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61 end
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62
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63 m_before = prod(obj.m(1:i-1));
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64 m_after = prod(obj.m(i+1:end));
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65
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66 X(:,i) = kr(ones(m_before,1),c,ones(m_after,1));
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67 end
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68 end
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69
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70 % matrices returns a cell array with coordinates in matrix form.
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71 % For 2d case these will have to be transposed to work with plotting routines.
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72 function X = matrices(obj)
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73
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74 if obj.d == 1 % There is no 1d matrix data type in matlab, handle special case
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75 X{1} = reshape(obj.x{1}, [obj.m 1]);
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76 return
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77 end
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78
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79 X = cell(1,obj.d);
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80 for i = 1:obj.d
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81 s = ones(1,obj.d);
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82 s(i) = obj.m(i);
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83
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84 t = reshape(obj.x{i},s);
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85
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86 s = obj.m;
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87 s(i) = 1;
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88 X{i} = repmat(t,s);
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89 end
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90 end
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92 function h = scaling(obj)
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93 if isempty(obj.h)
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94 error('grid:Cartesian:NoScalingSet', 'No scaling set')
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95 end
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96
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97 h = obj.h;
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98 end
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100 % Restricts the grid function gf on obj to the subgrid g.
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101 % Only works for even multiples
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102 function gf = restrictFunc(obj, gf, g)
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103 m1 = obj.m;
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104 m2 = g.m;
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105
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106 % Check the input
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107 if prod(m1) ~= numel(gf)
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108 error('grid:Cartesian:restrictFunc:NonMatchingFunctionSize', 'The grid function has to few or too many points.');
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109 end
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110
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111 if ~all(mod(m1-1,m2-1) == 0)
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112 error('grid:Cartesian:restrictFunc:NonMatchingGrids', 'Only integer downsamplings are allowed');
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113 end
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115 % Calculate stride for each dimension
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116 stride = (m1-1)./(m2-1);
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117
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118 % Create downsampling indecies
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119 I = {};
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120 for i = 1:length(m1)
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121 I{i} = 1:stride(i):m1(i);
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122 end
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123
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124 gf = reshapeRowMaj(gf, m1);
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125 gf = gf(I{:});
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126 gf = reshapeRowMaj(gf, prod(m2));
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127 end
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128
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129 % Projects the grid function gf on obj to the grid g.
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130 function gf = projectFunc(obj, gf, g)
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131 error('grid:Cartesian:NotImplemented')
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132 end
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133
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134 % Return the names of all boundaries in this grid.
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135 function bs = getBoundaryNames(obj)
191
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136 switch obj.D()
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137 case 1
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138 bs = {'l', 'r'};
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139 case 2
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140 bs = {'w', 'e', 's', 'n'};
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141 case 3
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142 bs = {'w', 'e', 's', 'n', 'd', 'u'};
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143 otherwise
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144 error('not implemented');
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145 end
188
c5ca9bbfed41 Added methods to hande boundaries to Grid. Added failing tests and method stubs.
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146 end
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147
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148 % Return coordinates for the given boundary
191
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149 function X = getBoundary(obj, name)
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150 % In what dimension is the boundary?
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151 switch name
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152 case {'l', 'r', 'w', 'e'}
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153 D = 1;
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154 case {'s', 'n'}
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155 D = 2;
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156 case {'d', 'u'}
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157 D = 3;
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158 otherwise
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159 error('not implemented');
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160 end
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161
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162 % At what index is the boundary?
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163 switch name
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164 case {'l', 'w', 's', 'd'}
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165 index = 1;
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166 case {'r', 'e', 'n', 'u'}
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167 index = obj.m(D);
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168 otherwise
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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169 error('not implemented');
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170 end
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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171
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
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172
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
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173
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174 I = cell(1, obj.d);
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diff changeset
175 for i = 1:obj.d
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176 if i == D
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177 I{i} = index;
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178 else
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179 I{i} = ':';
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180 end
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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181 end
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
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182
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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diff changeset
183 % Calculate size of result:
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184 m = obj.m;
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185 m(D) = [];
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186 N = prod(m);
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
Jonatan Werpers <jonatan@werpers.com>
parents: 188
diff changeset
187
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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188 X = zeros(N, obj.d);
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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189
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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190 coordMat = obj.matrices();
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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diff changeset
191 for i = 1:length(coordMat)
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
192 Xtemp = coordMat{i}(I{:});
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
193 X(:,i) = reshapeRowMaj(Xtemp, [N,1]);
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
194 end
188
c5ca9bbfed41 Added methods to hande boundaries to Grid. Added failing tests and method stubs.
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parents: 173
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195 end
154
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
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196 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
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197 end