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annotate test/SbpOperators/volumeops/derivatives/dissipation_test.jl @ 1203:254934aac3f8 feature/dissipation_operators

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Change name and clarify docs
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 03 Feb 2023 10:05:52 +0100
parents 423a6442efc3
children 0905c3c674e9
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1 using Test
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2
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3 using Sbplib.SbpOperators
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4 using Sbplib.Grids
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5 using Sbplib.LazyTensors
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6
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7 using Sbplib.SbpOperators: Stencil
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8
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9 using Sbplib.SbpOperators: dissipation_interior_weights
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10 using Sbplib.SbpOperators: dissipation_interior_stencil, dissipation_transpose_interior_stencil
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11 using Sbplib.SbpOperators: midpoint, midpoint_transpose
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12 using Sbplib.SbpOperators: dissipation_lower_closure_size, dissipation_upper_closure_size
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13 using Sbplib.SbpOperators: dissipation_lower_closure_stencils,dissipation_upper_closure_stencils
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14 using Sbplib.SbpOperators: dissipation_transpose_lower_closure_stencils, dissipation_transpose_upper_closure_stencils
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15
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16 """
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17 monomial(x,k)
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18
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19 Evaluates ``x^k/k!` with the convetion that it is ``0`` for all ``k<0``.
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20 Has the property that ``d/dx monomial(x,k) = monomial(x,k-1)``
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21 """
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22 function monomial(x,k)
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23 if k < 0
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24 return zero(x)
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25 end
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26 x^k/factorial(k)
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27 end
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28
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29 @testset "undivided_skewed04" begin
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30 g = EquidistantGrid(20, 0., 11.)
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31 D,Dᵀ = undivided_skewed04(g, 1)
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32
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33 @test D isa LazyTensor{Float64,1,1} where T
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34 @test Dᵀ isa LazyTensor{Float64,1,1} where T
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35
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36 @testset "Accuracy conditions" begin
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37 N = 20
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38 g = EquidistantGrid(N, 0//1,2//1)
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39 h = only(spacing(g))
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40 @testset "D_$p" for p ∈ [1,2,3,4]
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41 D,Dᵀ = undivided_skewed04(g, p)
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42
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43 @testset "x^$k" for k ∈ 0:p
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44 v = evalOn(g, x->monomial(x,k))
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45 vₚₓ = evalOn(g, x->monomial(x,k-p))
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46
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47 @test D*v == h^p * vₚₓ
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48 end
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49 end
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50 end
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51
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52 @testset "transpose equality" begin
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53 function get_matrix(D)
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54 N = only(range_size(D))
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55 M = only(domain_size(D))
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56
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57 Dmat = zeros(N,M)
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58 e = zeros(M)
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59 for i ∈ 1:M
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60 if i > 1
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61 e[i-1] = 0.
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62 end
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63 e[i] = 1.
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64 Dmat[:,i] = D*e
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65 end
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66
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67 return Dmat
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68 end
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69
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70 g = EquidistantGrid(11, 0., 1.)
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71 @testset "D_$p" for p ∈ [1,2,3,4]
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72 D,Dᵀ = undivided_skewed04(g, p)
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73
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74 D̄ = get_matrix(D)
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75 D̄ᵀ = get_matrix(Dᵀ)
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76
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77 @test D̄ == D̄ᵀ'
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78 end
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79 end
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80 end
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81
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82 @testset "dissipation_interior_weights" begin
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83 @test dissipation_interior_weights(1) == (-1, 1)
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84 @test dissipation_interior_weights(2) == (1,-2, 1)
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85 @test dissipation_interior_weights(3) == (-1, 3,-3, 1)
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86 @test dissipation_interior_weights(4) == (1, -4, 6, -4, 1)
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87 end
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88
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89 @testset "dissipation_interior_stencil" begin
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90 @test dissipation_interior_stencil(dissipation_interior_weights(1)) == Stencil(-1, 1, center=2)
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91 @test dissipation_interior_stencil(dissipation_interior_weights(2)) == Stencil( 1,-2, 1, center=2)
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92 @test dissipation_interior_stencil(dissipation_interior_weights(3)) == Stencil(-1, 3,-3, 1, center=3)
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93 @test dissipation_interior_stencil(dissipation_interior_weights(4)) == Stencil( 1,-4, 6,-4, 1, center=3)
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94 end
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95
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96 @testset "dissipation_transpose_interior_stencil" begin
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97 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(1)) == Stencil(1,-1, center=1)
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98 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(2)) == Stencil(1,-2, 1, center=2)
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99 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(3)) == Stencil(1,-3, 3,-1, center=2)
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100 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(4)) == Stencil(1,-4, 6,-4, 1, center=3)
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101 end
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102
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103 @testset "midpoint" begin
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104 @test midpoint((1,1)) == 2
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105 @test midpoint((1,1,1)) == 2
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106 @test midpoint((1,1,1,1)) == 3
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107 @test midpoint((1,1,1,1,1)) == 3
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108 end
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109
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110 @testset "midpoint_transpose" begin
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111 @test midpoint_transpose((1,1)) == 1
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112 @test midpoint_transpose((1,1,1)) == 2
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113 @test midpoint_transpose((1,1,1,1)) == 2
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114 @test midpoint_transpose((1,1,1,1,1)) == 3
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115 end
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116
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117 @testset "dissipation_lower_closure_size" begin
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118 @test dissipation_lower_closure_size((1,1)) == 1
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119 @test dissipation_lower_closure_size((1,1,1)) == 1
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120 @test dissipation_lower_closure_size((1,1,1,1)) == 2
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121 @test dissipation_lower_closure_size((1,1,1,1,1)) == 2
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122 end
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123
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124 @testset "dissipation_upper_closure_size" begin
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125 @test dissipation_upper_closure_size((1,1)) == 0
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126 @test dissipation_upper_closure_size((1,1,1)) == 1
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127 @test dissipation_upper_closure_size((1,1,1,1)) == 1
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128 @test dissipation_upper_closure_size((1,1,1,1,1)) == 2
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129 end
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130
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131 @testset "dissipation_lower_closure_stencils" begin
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132 cases = (
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133 (-1,1) => (
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134 Stencil(-1, 1, center=1),
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135 ),
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136 (1,-2,1) => (
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137 Stencil( 1,-2, 1, center=1),
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138 ),
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139 (-1,3,-3,1) => (
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140 Stencil(-1,3,-3,1, center=1),
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141 Stencil(-1,3,-3,1, center=2),
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142 ),
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143 (1, -4, 6, -4, 1) => (
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144 Stencil(1, -4, 6, -4, 1, center=1),
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145 Stencil(1, -4, 6, -4, 1, center=2),
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146 )
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147 )
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148 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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149 @test dissipation_lower_closure_stencils(w) == closure_stencils
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150 end
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151 end
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152
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153 @testset "dissipation_upper_closure_stencils" begin
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154 cases = (
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155 (-1,1) => (),
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156 (1,-2,1) => (
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157 Stencil( 1,-2, 1, center=3),
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158 ),
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159 (-1,3,-3,1) => (
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160 Stencil(-1,3,-3,1, center=4),
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161 ),
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162 (1, -4, 6, -4, 1) => (
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163 Stencil(1, -4, 6, -4, 1, center=4),
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164 Stencil(1, -4, 6, -4, 1, center=5),
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165 )
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166 )
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167 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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168 @test dissipation_upper_closure_stencils(w) == closure_stencils
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169 end
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170 end
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171
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172
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173 @testset "dissipation_transpose_lower_closure_stencils" begin
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174 cases = (
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175 (-1,1) => (
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176 Stencil(-1,-1, 0, center=1),
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177 Stencil( 1, 1,-1, center=2),
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178 ),
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179 (1,-2,1) => (
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180 Stencil( 1, 1, 0, 0, center=1),
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181 Stencil(-2,-2, 1, 0, center=2),
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182 Stencil( 1, 1,-2, 1, center=3),
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183 ),
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184 (-1,3,-3,1) => (
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185 Stencil(-1,-1,-1, 0, 0, 0, center=1),
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186 Stencil( 3, 3, 3,-1, 0, 0, center=2),
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187 Stencil(-3,-3,-3, 3,-1, 0, center=3),
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188 Stencil( 1, 1, 1,-3, 3,-1, center=4),
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189 ),
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190 )
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191 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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192 @test dissipation_transpose_lower_closure_stencils(w) == closure_stencils
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193 end
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194 end
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195
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196 @testset "dissipation_transpose_upper_closure_stencils" begin
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197 cases = (
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198 (-1,1) => (
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199 Stencil( 1,-1, center = 1),
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200 Stencil( 0, 1, center = 2),
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201 ),
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202 (1,-2,1) => (
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203 Stencil( 1,-2, 1, 1, center=2),
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204 Stencil( 0, 1,-2,-2, center=3),
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205 Stencil( 0, 0, 1, 1, center=4),
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206 ),
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207 (-1,3,-3,1) => (
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208 Stencil( 1,-3, 3,-1,-1, center=2),
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209 Stencil( 0, 1,-3, 3, 3, center=3),
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210 Stencil( 0, 0, 1,-3,-3, center=4),
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211 Stencil( 0, 0, 0, 1, 1, center=5),
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212 ),
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213 )
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214 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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215 @test dissipation_transpose_upper_closure_stencils(w) == closure_stencils
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216 end
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217 end