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annotate test/SbpOperators/boundaryops/normal_derivative_test.jl @ 1680:b30db2ea34ed feature/sbp_operators/laplace_curvilinear

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Add concistency tests for normal_derivative and and fix bug regarding sign of boundary
author Jonatan Werpers <jonatan@werpers.com>
date Sun, 30 Jun 2024 15:57:22 +0200
parents f4dc17cfafce
children de2c4b2663b4
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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 using Sbplib.RegionIndices
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7 import Sbplib.SbpOperators.BoundaryOperator
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8
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9 using StaticArrays
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10
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11 @testset "normal_derivative" begin
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12 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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14 @testset "EquidistantGrid" begin
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15 g_1D = equidistant_grid(0.0, 1.0, 11)
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17 d_l = normal_derivative(g_1D, stencil_set, Lower())
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18 @test d_l == normal_derivative(g_1D, stencil_set, Lower())
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19 @test d_l isa BoundaryOperator{T,Lower} where T
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20 @test d_l isa LazyTensor{T,0,1} where T
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21 end
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23 @testset "TensorGrid" begin
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24 g_2D = equidistant_grid((0.0, 0.0), (1.0,1.0), 11, 12)
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25 d_w = normal_derivative(g_2D, stencil_set, CartesianBoundary{1,Lower}())
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26 d_n = normal_derivative(g_2D, stencil_set, CartesianBoundary{2,Upper}())
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27 Ix = IdentityTensor{Float64}((size(g_2D)[1],))
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28 Iy = IdentityTensor{Float64}((size(g_2D)[2],))
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29 d_l = normal_derivative(g_2D.grids[1], stencil_set, Lower())
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30 d_r = normal_derivative(g_2D.grids[2], stencil_set, Upper())
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31 @test d_w == normal_derivative(g_2D, stencil_set, CartesianBoundary{1,Lower}())
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32 @test d_w == d_l⊗Iy
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33 @test d_n == Ix⊗d_r
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34 @test d_w isa LazyTensor{T,1,2} where T
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35 @test d_n isa LazyTensor{T,1,2} where T
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37 @testset "Accuracy" begin
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38 v = eval_on(g_2D, (x,y)-> x^2 + (y-1)^2 + x*y)
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39 v∂x = eval_on(g_2D, (x,y)-> 2*x + y)
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40 v∂y = eval_on(g_2D, (x,y)-> 2*(y-1) + x)
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41 # TODO: Test for higher order polynomials?
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42 @testset "2nd order" begin
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43 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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44 d_w, d_e, d_s, d_n = normal_derivative.(Ref(g_2D), Ref(stencil_set), boundary_identifiers(g_2D))
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46 @test d_w*v ≈ -v∂x[1,:] atol = 1e-13
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47 @test d_e*v ≈ v∂x[end,:] atol = 1e-13
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48 @test d_s*v ≈ -v∂y[:,1] atol = 1e-13
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49 @test d_n*v ≈ v∂y[:,end] atol = 1e-13
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50 end
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52 @testset "4th order" begin
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53 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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54 d_w, d_e, d_s, d_n = normal_derivative.(Ref(g_2D), Ref(stencil_set), boundary_identifiers(g_2D))
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55
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56 @test d_w*v ≈ -v∂x[1,:] atol = 1e-13
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57 @test d_e*v ≈ v∂x[end,:] atol = 1e-13
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58 @test d_s*v ≈ -v∂y[:,1] atol = 1e-13
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59 @test d_n*v ≈ v∂y[:,end] atol = 1e-13
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60 end
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61 end
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62 end
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63
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64 @testset "MappedGrid" begin
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65 c = Chart(unitsquare()) do (ξ,η)
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66 @SVector[2ξ + η*(1-η), 3η+(1+η/2)*ξ^2]
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67 end
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68 Grids.jacobian(c::typeof(c), (ξ,η)) = @SMatrix[2 1-2η; (2+η)*ξ 3+ξ^2/2]
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69 mg = equidistant_grid(c, 10,13)
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70
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71
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72 # x̄((ξ, η)) = @SVector[ξ, η*(1+ξ*(ξ-1))]
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73 # J((ξ, η)) = @SMatrix[
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74 # 1 0;
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75 # η*(2ξ-1) 1+ξ*(ξ-1);
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76 # ]
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77 # mg = mapped_grid(x̄, J, 20, 21)
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78
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79
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80 # x̄((ξ, η)) = @SVector[ξ,η]
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81 # J((ξ, η)) = @SMatrix[
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82 # 1 0;
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83 # 0 1;
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84 # ]
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85 # mg = mapped_grid(identity, J, 10, 11)
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86
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87 for bid ∈ boundary_identifiers(mg)
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88 @testset let bid=bid
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89 @test normal_derivative(mg, stencil_set, bid) isa LazyTensor{<:Any, 1, 2}
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90 end
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91 end
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92
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93 @testset "Consistency" begin
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94 v = map(identity, mg)
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95
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96 @testset "4nd order" begin
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97 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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98
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99 for bid ∈ boundary_identifiers(mg)
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100 @testset let bid=bid
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101 d = normal_derivative(mg, stencil_set, bid)
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102 @test d*v ≈ normal(mg, bid) rtol=1e-13
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103 end
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104 end
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105 end
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106 end
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107
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108 @testset "Accuracy" begin
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109 v = map(x̄ -> NaN, mg)
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110 dₙv = map(x̄ -> NaN, mg)
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111
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112 @testset "2nd order" begin
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113 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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114 d_w, d_e, d_s, d_n = normal_derivative.(Ref(mg), Ref(stencil_set), boundary_identifiers(mg))
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115
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116 @test_broken d_w*v ≈ dₙv atol = 1e-13
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117 @test_broken d_e*v ≈ dₙv atol = 1e-13
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118 @test_broken d_s*v ≈ dₙv atol = 1e-13
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119 @test_broken d_n*v ≈ dₙv atol = 1e-13
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120 end
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121
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122 @testset "4th order" begin
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123 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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124 d_w, d_e, d_s, d_n = normal_derivative.(Ref(mg), Ref(stencil_set), boundary_identifiers(mg))
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125
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126 @test_broken d_w*v ≈ dₙv atol = 1e-13
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127 @test_broken d_e*v ≈ dₙv atol = 1e-13
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128 @test_broken d_s*v ≈ dₙv atol = 1e-13
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129 @test_broken d_n*v ≈ dₙv atol = 1e-13
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130 end
f4dc17cfafce Start adding normal derivative for mapped grid
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parents: 1653
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131 end
f4dc17cfafce Start adding normal derivative for mapped grid
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132 end
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45966c77cb20 Split tests for SbpOperators over several files
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133 end