annotate test/Grids/mapped_grid_test.jl @ 1705:4870fc3faa25 feature/grids/curvilinear

Add tests for equallity of mapped grids
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 04 Sep 2024 15:38:10 +0200
parents e5e76c8e52c5
children 11640aa3e348
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1 using Sbplib.Grids
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2 using Sbplib.RegionIndices
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3 using Test
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4 using StaticArrays
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5 using LinearAlgebra
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6
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7
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8 _skew_mapping(a,b) = (ξ̄->ξ̄[1]*a + ξ̄[2]*b, ξ̄->[a b])
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9
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10 function _partially_curved_mapping()
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11 x̄((ξ, η)) = @SVector[ξ, η*(1+ξ*(ξ-1))]
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12 J((ξ, η)) = @SMatrix[
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13 1 0;
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14 η*(2ξ-1) 1+ξ*(ξ-1);
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15 ]
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16
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17 return x̄, J
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18 end
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19
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20 function _fully_curved_mapping()
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21 x̄((ξ, η)) = @SVector[2ξ + η*(1-η), 3η+(1+η/2)*ξ^2]
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22 J((ξ, η)) = @SMatrix[
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23 2 1-2η;
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24 (2+η)*ξ 3+1/2*ξ^2;
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25 ]
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26
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27 return x̄, J
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28 end
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29
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30 @testset "MappedGrid" begin
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31 lg = equidistant_grid((0,0), (1,1), 11, 11) # TODO: Change dims of the grid to be different
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32 x̄ = map(ξ̄ -> 2ξ̄, lg)
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33 J = map(ξ̄ -> @SArray(fill(2., 2, 2)), lg)
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34 mg = MappedGrid(lg, x̄, J)
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35
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36 # TODO: Test constructor for different dims of range and domain for the coordinates
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37 # TODO: Test constructor with different type than TensorGrid. a dummy type?
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38 # TODO: Test that the element types agree
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39
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40 @test_broken false # @test_throws ArgumentError("Sizes must match") MappedGrid(lg, map(ξ̄ -> @SArray[ξ̄[1], ξ̄[2], -ξ̄[1]], lg), rand(SMatrix{2,3,Float64},15,11))
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41
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42
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43 @test mg isa Grid{SVector{2, Float64},2}
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44
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45 @test jacobian(mg) isa Array{<:AbstractMatrix}
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46 @test logicalgrid(mg) isa Grid
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47
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48 @testset "Indexing Interface" begin
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49 mg = MappedGrid(lg, x̄, J)
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50 @test mg[1,1] == [0.0, 0.0]
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51 @test mg[4,2] == [0.6, 0.2]
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52 @test mg[6,10] == [1., 1.8]
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53
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54 @test mg[begin, begin] == [0.0, 0.0]
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55 @test mg[end,end] == [2.0, 2.0]
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56 @test mg[begin,end] == [0., 2.]
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57
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58 @test eachindex(mg) == CartesianIndices((11,11))
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59 @test axes(mg) == (1:11, 1:11)
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60
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61 @testset "cartesian indexing" begin
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62 cases = [
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63 (1,1) ,
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64 (3,5) ,
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65 (10,6),
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66 (1,1) ,
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67 (3,2) ,
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68 ]
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69
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70 @testset "i = $is" for (lg, is) ∈ cases
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71 @test mg[CartesianIndex(is...)] == mg[is...]
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72 end
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73 end
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74
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75 @testset "eachindex" begin
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76 @test eachindex(mg) == CartesianIndices((11,11))
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77 end
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78
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79 @testset "firstindex" begin
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80 @test firstindex(mg, 1) == 1
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81 @test firstindex(mg, 2) == 1
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82 end
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83
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84 @testset "lastindex" begin
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85 @test lastindex(mg, 1) == 11
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86 @test lastindex(mg, 2) == 11
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87 end
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88 end
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89 # TODO: Test with different types of logical grids
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90
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91 @testset "Iterator interface" begin
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92 sg = MappedGrid(
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93 equidistant_grid((0,0), (1,1), 15, 11),
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94 map(ξ̄ -> @SArray[ξ̄[1], ξ̄[2], -ξ̄[1]], lg), rand(SMatrix{2,3,Float64},15,11)
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95 )
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96
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97 @test eltype(mg) == SVector{2,Float64}
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98 @test eltype(sg) == SVector{3,Float64}
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99
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100 @test eltype(typeof(mg)) == SVector{2,Float64}
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101 @test eltype(typeof(sg)) == SVector{3,Float64}
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102
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103 @test size(mg) == (11,11)
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104 @test size(sg) == (15,11)
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105
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106 @test size(mg,2) == 11
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107 @test size(sg,2) == 11
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108
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109 @test length(mg) == 121
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110 @test length(sg) == 165
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111
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112 @test Base.IteratorSize(mg) == Base.HasShape{2}()
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113 @test Base.IteratorSize(typeof(mg)) == Base.HasShape{2}()
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114
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115 @test Base.IteratorSize(sg) == Base.HasShape{2}()
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116 @test Base.IteratorSize(typeof(sg)) == Base.HasShape{2}()
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117
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118 element, state = iterate(mg)
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119 @test element == lg[1,1].*2
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120 element, _ = iterate(mg, state)
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121 @test element == lg[2,1].*2
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122
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123 element, state = iterate(sg)
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124 @test element == sg.physicalcoordinates[1,1]
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125 element, _ = iterate(sg, state)
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126 @test element == sg.physicalcoordinates[2,1]
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127
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128 @test collect(mg) == 2 .* lg
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129 end
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130
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131 @testset "Base" begin
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132 @test ndims(mg) == 2
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133 end
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134
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135 @testset "==" begin
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136 sz = (15,11)
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137 lg = equidistant_grid((0,0), (1,1), sz...)
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138 x = rand(SVector{3,Float64}, sz...)
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139 J = rand(SMatrix{2,3,Float64}, sz...)
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140
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141 sg = MappedGrid(lg, x, J)
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142
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143 sg1 = MappedGrid(equidistant_grid((0,0), (1,1), sz...), copy(x), copy(J))
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144
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145 sz2 = (15,12)
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146 lg2 = equidistant_grid((0,0), (1,1), sz2...)
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147 x2 = rand(SVector{3,Float64}, sz2...)
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148 J2 = rand(SMatrix{2,3,Float64}, sz2...)
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149 sg2 = MappedGrid(lg2, x2, J2)
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150
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151 sg3 = MappedGrid(lg, rand(SVector{3,Float64}, sz...), J)
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152 sg4 = MappedGrid(lg, x, rand(SMatrix{2,3,Float64}, sz...))
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153
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154 @test sg == sg1
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155 @test sg != sg2 # Different size
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156 @test sg != sg3 # Different coordinates
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157 @test sg != sg4 # Different jacobian
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158 end
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159
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160 @testset "boundary_identifiers" begin
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161 lg = equidistant_grid((0,0), (1,1), 11, 11) # TODO: Change dims of the grid to be different
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162 x̄ = map(ξ̄ -> 2ξ̄, lg)
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163 J = map(ξ̄ -> @SArray(fill(2., 2, 2)), lg)
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164 mg = MappedGrid(lg, x̄, J)
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165 @test boundary_identifiers(mg) == boundary_identifiers(lg)
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166 end
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167
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168 @testset "boundary_indices" begin
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169 lg = equidistant_grid((0,0), (1,1), 11, 11) # TODO: Change dims of the grid to be different
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170 x̄ = map(ξ̄ -> 2ξ̄, lg)
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171 J = map(ξ̄ -> @SArray(fill(2., 2, 2)), lg)
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172 mg = MappedGrid(lg, x̄, J)
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173
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174 @test boundary_indices(mg, CartesianBoundary{1,Lower}()) == boundary_indices(lg,CartesianBoundary{1,Lower}())
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175 @test boundary_indices(mg, CartesianBoundary{2,Lower}()) == boundary_indices(lg,CartesianBoundary{2,Lower}())
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176 @test boundary_indices(mg, CartesianBoundary{1,Upper}()) == boundary_indices(lg,CartesianBoundary{1,Upper}())
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177 end
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178
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179 @testset "boundary_grid" begin
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180 x̄, J = _partially_curved_mapping()
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181 mg = mapped_grid(x̄, J, 10, 11)
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182 J1((ξ, η)) = @SMatrix[
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183 1 ;
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184 η*(2ξ-1);
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185 ]
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186 J2((ξ, η)) = @SMatrix[
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187 0;
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188 1+ξ*(ξ-1);
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189 ]
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190
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191 function test_boundary_grid(mg, bId, Jb)
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192 bg = boundary_grid(mg, bId)
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193
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194 lg = logicalgrid(mg)
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195 expected_bg = MappedGrid(
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196 boundary_grid(lg, bId),
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197 map(x̄, boundary_grid(lg, bId)),
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198 map(Jb, boundary_grid(lg, bId)),
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199 )
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200
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201 @testset let bId=bId, bg=bg, expected_bg=expected_bg
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202 @test collect(bg) == collect(expected_bg)
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203 @test logicalgrid(bg) == logicalgrid(expected_bg)
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204 @test jacobian(bg) == jacobian(expected_bg)
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205 # TODO: Implement equality of a curvilinear grid and simlify the above
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206 end
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207 end
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208
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209 @testset test_boundary_grid(mg, TensorGridBoundary{1, Lower}(), J2)
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210 @testset test_boundary_grid(mg, TensorGridBoundary{1, Upper}(), J2)
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211 @testset test_boundary_grid(mg, TensorGridBoundary{2, Lower}(), J1)
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212 @testset test_boundary_grid(mg, TensorGridBoundary{2, Upper}(), J1)
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213 end
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214 end
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215
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216 @testset "mapped_grid" begin
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217 x̄, J = _partially_curved_mapping()
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218 mg = mapped_grid(x̄, J, 10, 11)
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219 @test mg isa MappedGrid{SVector{2,Float64}, 2}
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220
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221 lg = equidistant_grid((0,0), (1,1), 10, 11)
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222 @test logicalgrid(mg) == lg
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223 @test collect(mg) == map(x̄, lg)
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224
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225 @test_broken mapped_grid(lg, x̄, J) == mg
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226 end
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227
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228 @testset "jacobian_determinant" begin
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229 @test_broken false
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230 end
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231
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232 @testset "metric_tensor" begin
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233 @test_broken false
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234 end
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235
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236 @testset "metric_tensor_inverse" begin
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237 @test_broken false
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238 end
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239
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240 @testset "min_spacing" begin
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241 let g = mapped_grid(identity, x->@SMatrix[1], 11)
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242 @test min_spacing(g) ≈ 0.1
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243 end
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244
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245 let g = mapped_grid(x->x+x.^2/2, x->@SMatrix[1 .+ x], 11)
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246 @test min_spacing(g) ≈ 0.105
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247 end
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248
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249 let g = mapped_grid(x->x + x.*(1 .- x)/2, x->@SMatrix[1.5 .- x], 11)
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250 @test min_spacing(g) ≈ 0.055
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251 end
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252
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253 let g = mapped_grid(identity, x->@SMatrix[1 0; 0 1], 11,11)
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254 @test min_spacing(g) ≈ 0.1
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255 end
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256
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257 let g = mapped_grid(identity, x->@SMatrix[1 0; 0 1], 11,21)
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258 @test min_spacing(g) ≈ 0.05
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259 end
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260
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261
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262 @testset let a = @SVector[1,0], b = @SVector[1,1]/√2
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263 g = mapped_grid(_skew_mapping(a,b)...,11,11)
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264
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265 @test min_spacing(g) ≈ 0.1*norm(b-a)
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266 end
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267
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268 @testset let a = @SVector[1,0], b = @SVector[-1,1]/√2
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269 g = mapped_grid(_skew_mapping(a,b)...,11,11)
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270
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271 @test min_spacing(g) ≈ 0.1*norm(a+b)
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272 end
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273 end
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274
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275 @testset "normal" begin
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276 g = mapped_grid(_partially_curved_mapping()...,10, 11)
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277
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278 @test normal(g, CartesianBoundary{1,Lower}()) == fill(@SVector[-1,0], 11)
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279 @test normal(g, CartesianBoundary{1,Upper}()) == fill(@SVector[1,0], 11)
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280 @test normal(g, CartesianBoundary{2,Lower}()) == fill(@SVector[0,-1], 10)
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281 @test normal(g, CartesianBoundary{2,Upper}()) ≈ map(boundary_grid(g,CartesianBoundary{2,Upper}())|>logicalgrid) do ξ̄
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282 α = 1-2ξ̄[1]
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283 @SVector[α,1]/√(α^2 + 1)
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284 end
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285
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286 g = mapped_grid(_fully_curved_mapping()...,5,4)
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287
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288 unit(v) = v/norm(v)
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289 @testset let bId = CartesianBoundary{1,Lower}()
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290 lbg = boundary_grid(logicalgrid(g), bId)
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291 @test normal(g, bId) ≈ map(lbg) do (ξ, η)
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292 -unit(@SVector[1/2, η/3-1/6])
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293 end
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294 end
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295
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296 @testset let bId = CartesianBoundary{1,Upper}()
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297 lbg = boundary_grid(logicalgrid(g), bId)
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298 @test normal(g, bId) ≈ map(lbg) do (ξ, η)
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299 unit(@SVector[7/2, 2η-1]/(5 + 3η + 2η^2))
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300 end
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301 end
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302
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303 @testset let bId = CartesianBoundary{2,Lower}()
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304 lbg = boundary_grid(logicalgrid(g), bId)
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305 @test normal(g, bId) ≈ map(lbg) do (ξ, η)
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306 -unit(@SVector[-2ξ, 2]/(6 + ξ^2 - 2ξ))
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307 end
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308 end
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309
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310 @testset let bId = CartesianBoundary{2,Upper}()
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311 lbg = boundary_grid(logicalgrid(g), bId)
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312 @test normal(g, bId) ≈ map(lbg) do (ξ, η)
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313 unit(@SVector[-3ξ, 2]/(6 + ξ^2 + 3ξ))
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314 end
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315 end
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316 end