Mercurial > repos > public > sbplib_julia

annotate DiffOps/test/runtests.jl @ 259:5571d2c5bf0f boundary_conditions

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Implement BaoundaryQuadrature for Laplace
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 28 Jun 2019 14:17:13 +0200
parents a827568fc251
children f1e90a92ad74
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1 using Test
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2 using DiffOps
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3 using Grids
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4 using SbpOperators
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5 using RegionIndices
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6 using LazyTensors
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7
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8 @testset "BoundaryValue" begin
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9 op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt")
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10 g = EquidistantGrid((4,5), (0.0, 0.0), (1.0,1.0))
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11
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12 e_w = BoundaryValue(op, g, CartesianBoundary{1,Lower}())
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13 e_e = BoundaryValue(op, g, CartesianBoundary{1,Upper}())
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14 e_s = BoundaryValue(op, g, CartesianBoundary{2,Lower}())
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15 e_n = BoundaryValue(op, g, CartesianBoundary{2,Upper}())
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16
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17 v = zeros(Float64, 4, 5)
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18 v[:,5] = [1, 2, 3,4]
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19 v[:,4] = [1, 2, 3,4]
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20 v[:,3] = [4, 5, 6, 7]
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21 v[:,2] = [7, 8, 9, 10]
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22 v[:,1] = [10, 11, 12, 13]
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23
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24 @test e_w isa TensorMapping{T,2,1} where T
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25 @test e_w' isa TensorMapping{T,1,2} where T
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26
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27 @test domain_size(e_w, (3,2)) == (2,)
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28 @test domain_size(e_e, (3,2)) == (2,)
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29 @test domain_size(e_s, (3,2)) == (3,)
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30 @test domain_size(e_n, (3,2)) == (3,)
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31
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32 @test size(e_w'*v) == (5,)
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33 @test size(e_e'*v) == (5,)
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34 @test size(e_s'*v) == (4,)
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35 @test size(e_n'*v) == (4,)
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36
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37 @test collect(e_w'*v) == [10,7,4,1.0,1]
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38 @test collect(e_e'*v) == [13,10,7,4,4.0]
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39 @test collect(e_s'*v) == [10,11,12,13.0]
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40 @test collect(e_n'*v) == [1,2,3,4.0]
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41
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42 g_x = [1,2,3,4.0]
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43 g_y = [5,4,3,2,1.0]
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44
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45 G_w = zeros(Float64, (4,5))
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46 G_w[1,:] = g_y
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47
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48 G_e = zeros(Float64, (4,5))
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49 G_e[4,:] = g_y
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50
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51 G_s = zeros(Float64, (4,5))
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52 G_s[:,1] = g_x
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53
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54 G_n = zeros(Float64, (4,5))
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55 G_n[:,5] = g_x
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57 @test size(e_w*g_y) == (4,5)
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58 @test size(e_e*g_y) == (4,5)
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59 @test size(e_s*g_x) == (4,5)
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60 @test size(e_n*g_x) == (4,5)
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61
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62 @test collect(e_w*g_y) == G_w
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63 @test collect(e_e*g_y) == G_e
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64 @test collect(e_s*g_x) == G_s
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65 @test collect(e_n*g_x) == G_n
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66 end
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68 @testset "NormalDerivative" begin
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69 op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt")
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70 g = EquidistantGrid((5,6), (0.0, 0.0), (4.0,5.0))
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71
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72 d_w = NormalDerivative(op, g, CartesianBoundary{1,Lower}())
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73 d_e = NormalDerivative(op, g, CartesianBoundary{1,Upper}())
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74 d_s = NormalDerivative(op, g, CartesianBoundary{2,Lower}())
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75 d_n = NormalDerivative(op, g, CartesianBoundary{2,Upper}())
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77
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78 v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y)
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79 v∂x = evalOn(g, (x,y)-> 2*x + y)
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80 v∂y = evalOn(g, (x,y)-> 2*(y-1) + x)
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81
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82 @test d_w isa TensorMapping{T,2,1} where T
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83 @test d_w' isa TensorMapping{T,1,2} where T
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84
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85 @test domain_size(d_w, (3,2)) == (2,)
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86 @test domain_size(d_e, (3,2)) == (2,)
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87 @test domain_size(d_s, (3,2)) == (3,)
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88 @test domain_size(d_n, (3,2)) == (3,)
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89
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90 @test size(d_w'*v) == (6,)
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91 @test size(d_e'*v) == (6,)
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92 @test size(d_s'*v) == (5,)
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93 @test size(d_n'*v) == (5,)
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94
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95 @test collect(d_w'*v) ≈ v∂x[1,:]
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96 @test collect(d_e'*v) ≈ v∂x[5,:]
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97 @test collect(d_s'*v) ≈ v∂y[:,1]
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98 @test collect(d_n'*v) ≈ v∂y[:,6]
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100
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101 d_x_l = zeros(Float64, 5)
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102 d_x_u = zeros(Float64, 5)
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103 for i ∈ eachindex(d_x_l)
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104 d_x_l[i] = op.dClosure[i-1]
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105 d_x_u[i] = -op.dClosure[length(d_x_u)-i]
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106 end
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107
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108 d_y_l = zeros(Float64, 6)
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109 d_y_u = zeros(Float64, 6)
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110 for i ∈ eachindex(d_y_l)
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111 d_y_l[i] = op.dClosure[i-1]
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112 d_y_u[i] = -op.dClosure[length(d_y_u)-i]
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113 end
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114
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115 function ❓(x,y)
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116 G = zeros(Float64, length(x), length(y))
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117 for I ∈ CartesianIndices(G)
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118 G[I] = x[I[1]]*y[I[2]]
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119 end
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120
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121 return G
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122 end
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123
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124 g_x = [1,2,3,4.0,5]
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125 g_y = [5,4,3,2,1.0,11]
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126
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127 G_w = ❓(d_x_l, g_y)
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128 G_e = ❓(d_x_u, g_y)
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129 G_s = ❓(g_x, d_y_l)
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130 G_n = ❓(g_x, d_y_u)
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131
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132
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133 @test size(d_w*g_y) == (5,6)
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134 @test size(d_e*g_y) == (5,6)
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135 @test size(d_s*g_x) == (5,6)
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136 @test size(d_n*g_x) == (5,6)
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137
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138 @test collect(d_w*g_y) ≈ G_w
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139 @test collect(d_e*g_y) ≈ G_e
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140 @test collect(d_s*g_x) ≈ G_s
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141 @test collect(d_n*g_x) ≈ G_n
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142 end
259
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143
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144 @testset "BoundaryQuadrature" begin
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145 op = readOperator(sbp_operators_path()*"d2_4th.txt",sbp_operators_path()*"h_4th.txt")
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146 g = EquidistantGrid((10,11), (0.0, 0.0), (1.0,1.0))
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147
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148 H_w = BoundaryQuadrature(op, g, CartesianBoundary{1,Lower}())
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149 H_e = BoundaryQuadrature(op, g, CartesianBoundary{1,Upper}())
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150 H_s = BoundaryQuadrature(op, g, CartesianBoundary{2,Lower}())
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151 H_n = BoundaryQuadrature(op, g, CartesianBoundary{2,Upper}())
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152
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153 v = evalOn(g, (x,y)-> x^2 + (y-1)^2 + x*y)
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154
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155 function get_quadrature(N)
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156 qc = op.quadratureClosure
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157 q = (qc..., ones(N-2*closuresize(op))..., reverse(qc)...)
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158 @assert length(q) == N
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159 return q
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160 end
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161
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162 v_w = v[1,:]
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163 v_e = v[10,:]
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164 v_s = v[:,1]
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165 v_n = v[:,11]
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166
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167 q_x = spacing(g)[1].*get_quadrature(10)
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168 q_y = spacing(g)[2].*get_quadrature(11)
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169
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170 @test H_w isa TensorOperator{T,1} where T
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171
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172 @test domain_size(H_w, (3,)) == (3,)
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173 @test domain_size(H_n, (3,)) == (3,)
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174
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175 @test range_size(H_w, (3,)) == (3,)
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176 @test range_size(H_n, (3,)) == (3,)
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177
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178 @test size(H_w*v_w) == (11,)
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179 @test size(H_e*v_e) == (11,)
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180 @test size(H_s*v_s) == (10,)
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181 @test size(H_n*v_n) == (10,)
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182
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183 @test collect(H_w*v_w) ≈ q_y.*v_w
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184 @test collect(H_e*v_e) ≈ q_y.*v_e
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185 @test collect(H_s*v_s) ≈ q_x.*v_s
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186 @test collect(H_n*v_n) ≈ q_x.*v_n
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187 end