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annotate test/SbpOperators/volumeops/derivatives/first_derivative_test.jl @ 1285:7d52c4835d15 refactor/grids

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Skip broken testsets
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 01 Mar 2023 09:06:15 +0100
parents c94a12327737
children 356ec6a72974
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 using Test
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2
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3
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4 using Sbplib.SbpOperators
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5 using Sbplib.Grids
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6 using Sbplib.LazyTensors
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7
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8 using Sbplib.SbpOperators: closure_size, Stencil, VolumeOperator
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9
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10 """
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11 monomial(x,k)
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12
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13 Evaluates ``x^k/k!` with the convetion that it is ``0`` for all ``k<0``.
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14 Has the property that ``d/dx monomial(x,k) = monomial(x,k-1)``
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15 """
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16 function monomial(x,k)
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17 if k < 0
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18 return zero(x)
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19 end
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20 x^k/factorial(k)
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21 end
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22
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23 @testset "first_derivative" begin
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24 @test_skip @testset "Constructors" begin
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25 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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26
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27 g₁ = EquidistantGrid(11, 0., 1.)
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28 g₂ = EquidistantGrid((11,14), (0.,1.), (1.,3.))
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29
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30 @test first_derivative(g₁, stencil_set, 1) isa LazyTensor{Float64,1,1}
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31 @test first_derivative(g₂, stencil_set, 2) isa LazyTensor{Float64,2,2}
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32 @test first_derivative(g₁, stencil_set, 1) == first_derivative(g₁, stencil_set)
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33
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34 interior_stencil = CenteredStencil(-1,0,1)
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35 closure_stencils = [Stencil(-1,1, center=1)]
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36
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37 @test first_derivative(g₁, interior_stencil, closure_stencils, 1) isa LazyTensor{Float64,1,1}
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38 @test first_derivative(g₁, interior_stencil, closure_stencils, 1) isa VolumeOperator
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39 @test first_derivative(g₁, interior_stencil, closure_stencils, 1) == first_derivative(g₁, interior_stencil, closure_stencils)
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40 @test first_derivative(g₂, interior_stencil, closure_stencils, 2) isa LazyTensor{Float64,2,2}
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41 end
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42
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43 @test_skip @testset "Accuracy conditions" begin
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44 N = 20
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45 g = EquidistantGrid(N, 0//1,2//1)
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46 @testset for order ∈ [2,4]
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47 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order)
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48 D₁ = first_derivative(g, stencil_set, 1)
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49
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50 @testset "boundary x^$k" for k ∈ 0:order÷2
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51 v = evalOn(g, x->monomial(x,k))
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52
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53 @testset for i ∈ 1:closure_size(D₁)
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54 x, = points(g)[i]
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55 @test (D₁*v)[i] == monomial(x,k-1)
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56 end
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57
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58 @testset for i ∈ (N-closure_size(D₁)+1):N
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59 x, = points(g)[i]
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60 @test (D₁*v)[i] == monomial(x,k-1)
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61 end
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62 end
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63
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64 @testset "interior x^$k" for k ∈ 0:order
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65 v = evalOn(g, x->monomial(x,k))
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66
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67 x, = points(g)[10]
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68 @test (D₁*v)[10] == monomial(x,k-1)
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69 end
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70 end
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71 end
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72
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73 @test_skip @testset "Accuracy on function" begin
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74 # 1D
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75 g = EquidistantGrid(30, 0.,1.)
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76 v = evalOn(g, x->exp(x))
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77 @testset for (order, tol) ∈ [(2, 6e-3),(4, 2e-4)]
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78 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order)
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79 D₁ = first_derivative(g, stencil_set, 1)
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80
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81 @test D₁*v ≈ v rtol=tol
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82 end
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83
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84 # 2D
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85 g = EquidistantGrid((30,60), (0.,0.),(1.,2.))
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86 v = evalOn(g, (x,y)->exp(0.8x+1.2*y))
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87 @testset for (order, tol) ∈ [(2, 6e-3),(4, 3e-4)]
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88 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order)
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89 Dx = first_derivative(g, stencil_set, 1)
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90 Dy = first_derivative(g, stencil_set, 2)
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91
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92 @test Dx*v ≈ 0.8v rtol=tol
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93 @test Dy*v ≈ 1.2v rtol=tol
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94 end
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95 end
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96 end
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97