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annotate test/SbpOperators/boundaryops/normal_derivative_test.jl @ 1751:f3d7e2d7a43f feature/sbp_operators/laplace_curvilinear

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Merge feature/grids/manifolds
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 11 Sep 2024 16:26:19 +0200
parents de2c4b2663b4 471a948cd2b2
children
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1 using Test
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2
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3 using Diffinitive.SbpOperators
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4 using Diffinitive.Grids
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5 using Diffinitive.LazyTensors
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6 using Diffinitive.RegionIndices
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7 import Diffinitive.SbpOperators.BoundaryOperator
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8
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9 using StaticArrays
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10 using LinearAlgebra
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11
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12 @testset "normal_derivative" begin
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13 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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15 @testset "EquidistantGrid" begin
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16 g_1D = equidistant_grid(0.0, 1.0, 11)
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18 d_l = normal_derivative(g_1D, stencil_set, LowerBoundary())
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19 @test d_l == normal_derivative(g_1D, stencil_set, LowerBoundary())
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20 @test d_l isa BoundaryOperator{T,LowerBoundary} where T
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21 @test d_l isa LazyTensor{T,0,1} where T
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22 end
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23
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24 @testset "TensorGrid" begin
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25 g_2D = equidistant_grid((0.0, 0.0), (1.0,1.0), 11, 12)
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26 d_w = normal_derivative(g_2D, stencil_set, CartesianBoundary{1,LowerBoundary}())
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27 d_n = normal_derivative(g_2D, stencil_set, CartesianBoundary{2,UpperBoundary}())
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28 Ix = IdentityTensor{Float64}((size(g_2D)[1],))
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29 Iy = IdentityTensor{Float64}((size(g_2D)[2],))
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30 d_l = normal_derivative(g_2D.grids[1], stencil_set, LowerBoundary())
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31 d_r = normal_derivative(g_2D.grids[2], stencil_set, UpperBoundary())
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32 @test d_w == normal_derivative(g_2D, stencil_set, CartesianBoundary{1,LowerBoundary}())
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33 @test d_w == d_l⊗Iy
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34 @test d_n == Ix⊗d_r
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35 @test d_w isa LazyTensor{T,1,2} where T
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36 @test d_n isa LazyTensor{T,1,2} where T
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37
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38 @testset "Accuracy" begin
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39 v = eval_on(g_2D, (x,y)-> x^2 + (y-1)^2 + x*y)
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40 v∂x = eval_on(g_2D, (x,y)-> 2*x + y)
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41 v∂y = eval_on(g_2D, (x,y)-> 2*(y-1) + x)
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42 # TODO: Test for higher order polynomials?
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43 @testset "2nd order" begin
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44 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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45 d_w, d_e, d_s, d_n = normal_derivative.(Ref(g_2D), Ref(stencil_set), boundary_identifiers(g_2D))
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47 @test d_w*v ≈ -v∂x[1,:] atol = 1e-13
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48 @test d_e*v ≈ v∂x[end,:] atol = 1e-13
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49 @test d_s*v ≈ -v∂y[:,1] atol = 1e-13
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50 @test d_n*v ≈ v∂y[:,end] atol = 1e-13
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51 end
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52
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53 @testset "4th order" begin
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54 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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55 d_w, d_e, d_s, d_n = normal_derivative.(Ref(g_2D), Ref(stencil_set), boundary_identifiers(g_2D))
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56
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57 @test d_w*v ≈ -v∂x[1,:] atol = 1e-13
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58 @test d_e*v ≈ v∂x[end,:] atol = 1e-13
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59 @test d_s*v ≈ -v∂y[:,1] atol = 1e-13
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60 @test d_n*v ≈ v∂y[:,end] atol = 1e-13
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61 end
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62 end
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63 end
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64
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65 @testset "MappedGrid" begin
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66 c = Chart(unitsquare()) do (ξ,η)
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67 @SVector[2ξ + η*(1-η), 3η+(1+η/2)*ξ^2]
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68 end
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69 Grids.jacobian(c::typeof(c), (ξ,η)) = @SMatrix[2 1-2η; (2+η)*ξ 3+ξ^2/2]
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70 mg = equidistant_grid(c, 10,13)
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71
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72
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73 # x̄((ξ, η)) = @SVector[ξ, η*(1+ξ*(ξ-1))]
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74 # J((ξ, η)) = @SMatrix[
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75 # 1 0;
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76 # η*(2ξ-1) 1+ξ*(ξ-1);
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77 # ]
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78 # mg = mapped_grid(x̄, J, 20, 21)
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79
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80
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81 # x̄((ξ, η)) = @SVector[ξ,η]
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82 # J((ξ, η)) = @SMatrix[
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83 # 1 0;
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84 # 0 1;
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85 # ]
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86 # mg = mapped_grid(identity, J, 10, 11)
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87
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88 for bid ∈ boundary_identifiers(mg)
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89 @testset let bid=bid
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90 @test normal_derivative(mg, stencil_set, bid) isa LazyTensor{<:Any, 1, 2}
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91 end
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92 end
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93
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94 @testset "Consistency" begin
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95 v = map(identity, mg)
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96
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97 @testset "4nd order" begin
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98 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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99
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100 for bid ∈ boundary_identifiers(mg)
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101 @testset let bid=bid
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102 d = normal_derivative(mg, stencil_set, bid)
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103 @test d*v ≈ normal(mg, bid) rtol=1e-13
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104 end
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105 end
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106 end
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107 end
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108
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109 @testset "Accuracy" begin
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110 v = function(x̄)
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111 sin(norm(x̄+@SVector[1,1]))
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112 end
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113 ∇v = function(x̄)
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114 ȳ = x̄+@SVector[1,1]
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115 cos(norm(ȳ))*(ȳ/norm(ȳ))
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116 end
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117
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118 mg = equidistant_grid(c, 80,80)
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119 v̄ = map(v, mg)
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120
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121 @testset for (order, atol) ∈ [(2,4e-2),(4,2e-3)]
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122 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=order)
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123
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124 @testset for bId ∈ boundary_identifiers(mg)
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125 ∂ₙv = map(boundary_grid(mg,bId),normal(mg,bId)) do x̄,n̂
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126 n̂⋅∇v(x̄)
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127 end
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128
de2c4b2663b4 Add accuracy tests for normal derivative
Jonatan Werpers <jonatan@werpers.com>
parents: 1680
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129 dₙ = normal_derivative(mg, stencil_set, bId)
de2c4b2663b4 Add accuracy tests for normal derivative
Jonatan Werpers <jonatan@werpers.com>
parents: 1680
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130 @test dₙ*v̄ ≈ ∂ₙv atol=atol
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parents: 1680
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131 end
1654
f4dc17cfafce Start adding normal derivative for mapped grid
Jonatan Werpers <jonatan@werpers.com>
parents: 1653
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132 end
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
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133 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
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134 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
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135 end