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annotate test/SbpOperators/boundaryops/normal_derivative_test.jl @ 918:35be8253de89 bugfix/normal_derivative_sign

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Change the sign of normal derivatives
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 18 Feb 2022 07:56:30 +0100
parents bea2feebbeca
children d360fc2d9620
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1 using Test
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3 using Sbplib.SbpOperators
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4 using Sbplib.Grids
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5 using Sbplib.RegionIndices
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6 using Sbplib.LazyTensors
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7
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8 import Sbplib.SbpOperators.BoundaryOperator
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10 @testset "normal_derivative" begin
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11 g_1D = EquidistantGrid(11, 0.0, 1.0)
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12 g_2D = EquidistantGrid((11,12), (0.0, 0.0), (1.0,1.0))
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13 @testset "normal_derivative" begin
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14 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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15 d_closure = parse_stencil(stencil_set["d1"]["closure"])
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16 @testset "1D" begin
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17 d_l = normal_derivative(g_1D, d_closure, Lower())
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18 @test d_l == normal_derivative(g_1D, d_closure, CartesianBoundary{1,Lower}())
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19 @test d_l isa BoundaryOperator{T,Lower} where T
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20 @test d_l isa TensorMapping{T,0,1} where T
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21 end
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22 @testset "2D" begin
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23 d_w = normal_derivative(g_2D, d_closure, CartesianBoundary{1,Lower}())
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24 d_n = normal_derivative(g_2D, d_closure, CartesianBoundary{2,Upper}())
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25 Ix = IdentityMapping{Float64}((size(g_2D)[1],))
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26 Iy = IdentityMapping{Float64}((size(g_2D)[2],))
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27 d_l = normal_derivative(restrict(g_2D,1),d_closure,Lower())
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28 d_r = normal_derivative(restrict(g_2D,2),d_closure,Upper())
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29 @test d_w == d_l⊗Iy
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30 @test d_n == Ix⊗d_r
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31 @test d_w isa TensorMapping{T,1,2} where T
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32 @test d_n isa TensorMapping{T,1,2} where T
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33 end
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34 end
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35 @testset "Accuracy" begin
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36 v = evalOn(g_2D, (x,y)-> x^2 + (y-1)^2 + x*y)
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37 v∂x = evalOn(g_2D, (x,y)-> 2*x + y)
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38 v∂y = evalOn(g_2D, (x,y)-> 2*(y-1) + x)
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39 # TODO: Test for higher order polynomials?
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40 @testset "2nd order" begin
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41 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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42 d_closure = parse_stencil(stencil_set["d1"]["closure"])
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43 d_w = normal_derivative(g_2D, d_closure, CartesianBoundary{1,Lower}())
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44 d_e = normal_derivative(g_2D, d_closure, CartesianBoundary{1,Upper}())
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45 d_s = normal_derivative(g_2D, d_closure, CartesianBoundary{2,Lower}())
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46 d_n = normal_derivative(g_2D, d_closure, CartesianBoundary{2,Upper}())
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48 @test d_w*v ≈ -v∂x[1,:] atol = 1e-13
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49 @test d_e*v ≈ v∂x[end,:] atol = 1e-13
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50 @test d_s*v ≈ -v∂y[:,1] atol = 1e-13
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51 @test d_n*v ≈ v∂y[:,end] atol = 1e-13
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52 end
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54 @testset "4th order" begin
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55 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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56 d_closure = parse_stencil(stencil_set["d1"]["closure"])
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57 d_w = normal_derivative(g_2D, d_closure, CartesianBoundary{1,Lower}())
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58 d_e = normal_derivative(g_2D, d_closure, CartesianBoundary{1,Upper}())
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59 d_s = normal_derivative(g_2D, d_closure, CartesianBoundary{2,Lower}())
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60 d_n = normal_derivative(g_2D, d_closure, CartesianBoundary{2,Upper}())
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61
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62 @test d_w*v ≈ -v∂x[1,:] atol = 1e-13
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63 @test d_e*v ≈ v∂x[end,:] atol = 1e-13
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64 @test d_s*v ≈ -v∂y[:,1] atol = 1e-13
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65 @test d_n*v ≈ v∂y[:,end] atol = 1e-13
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66 end
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67 end
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68 end