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annotate test/SbpOperators/volumeops/derivatives/dissipation_test.jl @ 1034:ed19c549c506 feature/dissipation_operators

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Implement undevided dissipation operators
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 22 Mar 2022 12:33:58 +0100
parents 0cb4c6b15d8e
children ceda69b8f27a
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1020
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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 "undevided_dissipation" begin
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30 g = EquidistantGrid(20, 0., 11.)
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31 D,Dᵀ = undevided_dissipation(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 = spacing(g)[1]
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40 @testset "D_$p" for p ∈ [1,2,3,4]
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41 D,Dᵀ = undevided_dissipation(g, p)
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42
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43 @testset "x^$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
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51 @testset "x^$k" for k ∈ 0:p
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52 v = evalOn(g, x->monomial(x,k))
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53 vₚₓ = evalOn(g, x->monomial(x,k-p))
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54
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55 for i ∈ SbpOperators.lower_closure_size(Dᵀ)+1:N-SbpOperators.upper_closure_size(Dᵀ)
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56 @test (Dᵀ*v)[i] == h^p * vₚₓ[i]
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57 end
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58 end
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59 end
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60 end
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61 end
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62
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63 @testset "dissipation_interior_weights" begin
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64 @test dissipation_interior_weights(1) == (-1, 1)
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65 @test dissipation_interior_weights(2) == (1,-2, 1)
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66 @test dissipation_interior_weights(3) == (-1, 3,-3, 1)
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67 @test dissipation_interior_weights(4) == (1, -4, 6, -4, 1)
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68 end
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69
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70 @testset "dissipation_interior_stencil" begin
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71 @test dissipation_interior_stencil(dissipation_interior_weights(1)) == Stencil(-1,1, center=2)
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72 @test dissipation_interior_stencil(dissipation_interior_weights(2)) == Stencil(1,-2,1, center=2)
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73 @test dissipation_interior_stencil(dissipation_interior_weights(3)) == Stencil(-1,3,-3,1, center=3)
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74 @test dissipation_interior_stencil(dissipation_interior_weights(4)) == Stencil(1, -4, 6, -4, 1, center=3)
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75 end
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76
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77 @testset "dissipation_transpose_interior_stencil" begin
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78 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(1)) == Stencil(-1,1, center=1)
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79 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(2)) == Stencil(1,-2,1, center=2)
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80 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(3)) == Stencil(-1,3,-3,1, center=2)
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81 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(4)) == Stencil(1, -4, 6, -4, 1, center=3)
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82 end
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83
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84 @testset "midpoint" begin
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85 @test midpoint((1,1)) == 2
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86 @test midpoint((1,1,1)) == 2
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87 @test midpoint((1,1,1,1)) == 3
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88 @test midpoint((1,1,1,1,1)) == 3
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89 end
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90
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91 @testset "midpoint_transpose" begin
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92 @test midpoint_transpose((1,1)) == 1
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93 @test midpoint_transpose((1,1,1)) == 2
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94 @test midpoint_transpose((1,1,1,1)) == 2
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95 @test midpoint_transpose((1,1,1,1,1)) == 3
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96 end
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97
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98 @testset "dissipation_lower_closure_size" begin
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99 @test dissipation_lower_closure_size((1,1)) == 1
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100 @test dissipation_lower_closure_size((1,1,1)) == 1
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101 @test dissipation_lower_closure_size((1,1,1,1)) == 2
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102 @test dissipation_lower_closure_size((1,1,1,1,1)) == 2
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103 end
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104
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105 @testset "dissipation_upper_closure_size" begin
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106 @test dissipation_upper_closure_size((1,1)) == 0
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107 @test dissipation_upper_closure_size((1,1,1)) == 1
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108 @test dissipation_upper_closure_size((1,1,1,1)) == 1
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109 @test dissipation_upper_closure_size((1,1,1,1,1)) == 2
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110 end
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111
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112 @testset "dissipation_lower_closure_stencils" begin
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113 cases = (
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114 (-1,1) => (
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115 Stencil(-1, 1, center=1),
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116 ),
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117 (1,-2,1) => (
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118 Stencil( 1,-2, 1, center=1),
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119 ),
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120 (-1,3,-3,1) => (
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121 Stencil(-1,3,-3,1, center=1),
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122 Stencil(-1,3,-3,1, center=2),
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123 ),
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124 (1, -4, 6, -4, 1) => (
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125 Stencil(1, -4, 6, -4, 1, center=1),
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126 Stencil(1, -4, 6, -4, 1, center=2),
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127 )
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128 )
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129 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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130 @test dissipation_lower_closure_stencils(w) == closure_stencils
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131 end
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132 end
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133
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134 @testset "dissipation_upper_closure_stencils" begin
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135 cases = (
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136 (-1,1) => (),
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137 (1,-2,1) => (
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138 Stencil( 1,-2, 1, center=3),
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139 ),
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140 (-1,3,-3,1) => (
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141 Stencil(-1,3,-3,1, center=4),
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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=4),
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145 Stencil(1, -4, 6, -4, 1, center=5),
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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_upper_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
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154 @testset "dissipation_transpose_lower_closure_stencils" begin
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155 cases = (
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156 (-1,1) => (
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157 Stencil(-1,-1, 0, center=1),
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158 Stencil( 1, 1,-1, center=2),
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159 ),
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160 (1,-2,1) => (
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161 Stencil( 1, 1, 0, 0, center=1),
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162 Stencil(-2,-2, 1, 0, center=2),
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163 Stencil( 1, 1,-2, 1, center=3),
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164 ),
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165 (-1,3,-3,1) => (
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166 Stencil(-1,-1,-1, 0, 0, 0, center=1),
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167 Stencil( 3, 3, 3,-1, 0, 0, center=2),
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168 Stencil(-3,-3,-3, 3,-1, 0, center=3),
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169 Stencil( 1, 1, 1,-3, 3,-1, center=4),
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170 ),
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171 )
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172 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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173 @test dissipation_transpose_lower_closure_stencils(w) == closure_stencils
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174 end
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175 end
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176
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177 @testset "dissipation_transpose_upper_closure_stencils" begin
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178 cases = (
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179 (-1,1) => (
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180 Stencil( 1,-1, center = 1),
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181 Stencil( 0, 1, center = 2),
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182 ),
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183 (1,-2,1) => (
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184 Stencil( 1,-2, 1, 1, center=2),
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185 Stencil( 0, 1,-2,-2, center=3),
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186 Stencil( 0, 0, 1, 1, center=4),
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187 ),
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188 (-1,3,-3,1) => (
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189 Stencil( 1,-3, 3,-1,-1, center=2),
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190 Stencil( 0, 1,-3, 3, 3, center=3),
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191 Stencil( 0, 0, 1,-3,-3, center=4),
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192 Stencil( 0, 0, 0, 1, 1, center=5),
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193 ),
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194 )
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195 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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196 @test dissipation_transpose_upper_closure_stencils(w) == closure_stencils
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197 end
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198 end