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annotate test/SbpOperators/volumeops/derivatives/dissipation_test.jl @ 1342:c0c1189c5f2e refactor/grids

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Clean up grid_refactor.md
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 12 May 2023 15:50:09 +0200
parents 356ec6a72974
children 760a4a1ec4b7
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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 = equidistant_grid(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}
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34 @test Dᵀ isa LazyTensor{Float64,1,1}
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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 = equidistant_grid(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 = eval_on(g, x->monomial(x,k))
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45 vₚₓ = eval_on(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
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51 # TODO: Add 2D tests
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52 end
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53
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54 @testset "transpose equality" begin
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55 function get_matrix(D)
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56 N = only(range_size(D))
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57 M = only(domain_size(D))
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58
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59 Dmat = zeros(N,M)
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60 e = zeros(M)
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61 for i ∈ 1:M
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62 if i > 1
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63 e[i-1] = 0.
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64 end
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65 e[i] = 1.
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66 Dmat[:,i] = D*e
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67 end
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68
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69 return Dmat
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70 end
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71
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72 g = equidistant_grid(11, 0., 1.)
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73 @testset "D_$p" for p ∈ [1,2,3,4]
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74 D,Dᵀ = undivided_skewed04(g, p)
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75
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76 D̄ = get_matrix(D)
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77 D̄ᵀ = get_matrix(Dᵀ)
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78
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79 @test D̄ == D̄ᵀ'
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80 end
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81 end
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82 end
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83
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84 @testset "dissipation_interior_weights" begin
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85 @test dissipation_interior_weights(1) == (-1, 1)
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86 @test dissipation_interior_weights(2) == (1,-2, 1)
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87 @test dissipation_interior_weights(3) == (-1, 3,-3, 1)
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88 @test dissipation_interior_weights(4) == (1, -4, 6, -4, 1)
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89 end
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90
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91 @testset "dissipation_interior_stencil" begin
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92 @test dissipation_interior_stencil(dissipation_interior_weights(1)) == Stencil(-1, 1, center=2)
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93 @test dissipation_interior_stencil(dissipation_interior_weights(2)) == Stencil( 1,-2, 1, center=2)
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94 @test dissipation_interior_stencil(dissipation_interior_weights(3)) == Stencil(-1, 3,-3, 1, center=3)
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95 @test dissipation_interior_stencil(dissipation_interior_weights(4)) == Stencil( 1,-4, 6,-4, 1, center=3)
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96 end
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97
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98 @testset "dissipation_transpose_interior_stencil" begin
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99 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(1)) == Stencil(1,-1, center=1)
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100 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(2)) == Stencil(1,-2, 1, center=2)
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101 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(3)) == Stencil(1,-3, 3,-1, center=2)
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102 @test dissipation_transpose_interior_stencil(dissipation_interior_weights(4)) == Stencil(1,-4, 6,-4, 1, center=3)
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103 end
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104
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105 @testset "midpoint" begin
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106 @test midpoint((1,1)) == 2
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107 @test midpoint((1,1,1)) == 2
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108 @test midpoint((1,1,1,1)) == 3
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109 @test midpoint((1,1,1,1,1)) == 3
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110 end
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111
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112 @testset "midpoint_transpose" begin
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113 @test midpoint_transpose((1,1)) == 1
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114 @test midpoint_transpose((1,1,1)) == 2
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115 @test midpoint_transpose((1,1,1,1)) == 2
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116 @test midpoint_transpose((1,1,1,1,1)) == 3
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117 end
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118
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119 @testset "dissipation_lower_closure_size" begin
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120 @test dissipation_lower_closure_size((1,1)) == 1
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121 @test dissipation_lower_closure_size((1,1,1)) == 1
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122 @test dissipation_lower_closure_size((1,1,1,1)) == 2
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123 @test dissipation_lower_closure_size((1,1,1,1,1)) == 2
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124 end
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125
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126 @testset "dissipation_upper_closure_size" begin
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127 @test dissipation_upper_closure_size((1,1)) == 0
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128 @test dissipation_upper_closure_size((1,1,1)) == 1
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129 @test dissipation_upper_closure_size((1,1,1,1)) == 1
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130 @test dissipation_upper_closure_size((1,1,1,1,1)) == 2
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131 end
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132
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133 @testset "dissipation_lower_closure_stencils" begin
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134 cases = (
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135 (-1,1) => (
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136 Stencil(-1, 1, center=1),
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137 ),
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138 (1,-2,1) => (
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139 Stencil( 1,-2, 1, center=1),
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140 ),
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141 (-1,3,-3,1) => (
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142 Stencil(-1,3,-3,1, center=1),
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143 Stencil(-1,3,-3,1, center=2),
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144 ),
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145 (1, -4, 6, -4, 1) => (
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146 Stencil(1, -4, 6, -4, 1, center=1),
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147 Stencil(1, -4, 6, -4, 1, center=2),
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148 )
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149 )
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150 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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151 @test dissipation_lower_closure_stencils(w) == closure_stencils
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152 end
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153 end
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154
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155 @testset "dissipation_upper_closure_stencils" begin
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156 cases = (
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157 (-1,1) => (),
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158 (1,-2,1) => (
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159 Stencil( 1,-2, 1, center=3),
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160 ),
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161 (-1,3,-3,1) => (
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162 Stencil(-1,3,-3,1, center=4),
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163 ),
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164 (1, -4, 6, -4, 1) => (
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165 Stencil(1, -4, 6, -4, 1, center=4),
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166 Stencil(1, -4, 6, -4, 1, center=5),
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167 )
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168 )
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169 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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170 @test dissipation_upper_closure_stencils(w) == closure_stencils
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171 end
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172 end
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173
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174
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175 @testset "dissipation_transpose_lower_closure_stencils" begin
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176 cases = (
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177 (-1,1) => (
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178 Stencil(-1,-1, 0, center=1),
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179 Stencil( 1, 1,-1, center=2),
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180 ),
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181 (1,-2,1) => (
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182 Stencil( 1, 1, 0, 0, center=1),
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183 Stencil(-2,-2, 1, 0, center=2),
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184 Stencil( 1, 1,-2, 1, center=3),
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185 ),
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186 (-1,3,-3,1) => (
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187 Stencil(-1,-1,-1, 0, 0, 0, center=1),
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188 Stencil( 3, 3, 3,-1, 0, 0, center=2),
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189 Stencil(-3,-3,-3, 3,-1, 0, center=3),
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190 Stencil( 1, 1, 1,-3, 3,-1, center=4),
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191 ),
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192 )
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193 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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194 @test dissipation_transpose_lower_closure_stencils(w) == closure_stencils
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195 end
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196 end
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197
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198 @testset "dissipation_transpose_upper_closure_stencils" begin
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199 cases = (
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200 (-1,1) => (
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201 Stencil( 1,-1, center = 1),
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202 Stencil( 0, 1, center = 2),
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203 ),
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204 (1,-2,1) => (
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205 Stencil( 1,-2, 1, 1, center=2),
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206 Stencil( 0, 1,-2,-2, center=3),
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207 Stencil( 0, 0, 1, 1, center=4),
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208 ),
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209 (-1,3,-3,1) => (
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210 Stencil( 1,-3, 3,-1,-1, center=2),
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211 Stencil( 0, 1,-3, 3, 3, center=3),
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212 Stencil( 0, 0, 1,-3,-3, center=4),
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213 Stencil( 0, 0, 0, 1, 1, center=5),
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214 ),
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215 )
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216 @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
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217 @test dissipation_transpose_upper_closure_stencils(w) == closure_stencils
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218 end
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219 end