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annotate test/SbpOperators/boundaryops/normal_derivative_test.jl @ 2015:5c2448d6a201 feature/grids/geometry_functions tip

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Structure tests a bit more
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 09 May 2025 15:57:38 +0200
parents 471a948cd2b2
children f3d7e2d7a43f
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45966c77cb20 Split tests for SbpOperators over several files
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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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9 @testset "normal_derivative" begin
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10 g_1D = equidistant_grid(0.0, 1.0, 11)
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11 g_2D = equidistant_grid((0.0, 0.0), (1.0,1.0), 11, 12)
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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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14 @testset "1D" begin
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15 d_l = normal_derivative(g_1D, stencil_set, LowerBoundary())
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16 @test d_l == normal_derivative(g_1D, stencil_set, LowerBoundary())
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17 @test d_l isa BoundaryOperator{T,LowerBoundary} where T
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18 @test d_l isa LazyTensor{T,0,1} where T
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19 end
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20 @testset "2D" begin
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21 d_w = normal_derivative(g_2D, stencil_set, CartesianBoundary{1,LowerBoundary}())
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22 d_n = normal_derivative(g_2D, stencil_set, CartesianBoundary{2,UpperBoundary}())
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23 Ix = IdentityTensor{Float64}((size(g_2D)[1],))
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24 Iy = IdentityTensor{Float64}((size(g_2D)[2],))
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25 d_l = normal_derivative(g_2D.grids[1], stencil_set, LowerBoundary())
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26 d_r = normal_derivative(g_2D.grids[2], stencil_set, UpperBoundary())
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27 @test d_w == normal_derivative(g_2D, stencil_set, CartesianBoundary{1,LowerBoundary}())
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28 @test d_w == d_l⊗Iy
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29 @test d_n == Ix⊗d_r
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30 @test d_w isa LazyTensor{T,1,2} where T
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31 @test d_n isa LazyTensor{T,1,2} where T
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32 end
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33 end
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34 @testset "Accuracy" begin
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35 v = eval_on(g_2D, (x,y)-> x^2 + (y-1)^2 + x*y)
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36 v∂x = eval_on(g_2D, (x,y)-> 2*x + y)
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37 v∂y = eval_on(g_2D, (x,y)-> 2*(y-1) + x)
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38 # TODO: Test for higher order polynomials?
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39 @testset "2nd order" begin
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40 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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41 d_w, d_e, d_s, d_n = normal_derivative.(Ref(g_2D), Ref(stencil_set), boundary_identifiers(g_2D))
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43 @test d_w*v ≈ -v∂x[1,:] atol = 1e-13
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44 @test d_e*v ≈ v∂x[end,:] atol = 1e-13
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45 @test d_s*v ≈ -v∂y[:,1] atol = 1e-13
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46 @test d_n*v ≈ v∂y[:,end] atol = 1e-13
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47 end
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49 @testset "4th order" begin
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50 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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51 d_w, d_e, d_s, d_n = normal_derivative.(Ref(g_2D), Ref(stencil_set), boundary_identifiers(g_2D))
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52
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53 @test d_w*v ≈ -v∂x[1,:] atol = 1e-13
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54 @test d_e*v ≈ v∂x[end,:] atol = 1e-13
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55 @test d_s*v ≈ -v∂y[:,1] atol = 1e-13
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56 @test d_n*v ≈ v∂y[:,end] atol = 1e-13
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57 end
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58 end
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59 end