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annotate test/SbpOperators/boundaryops/normal_derivative_test.jl @ 934:af670581b464 feature/laplace_opset

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Add tests for constructing boundary operators from stencil sets
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 25 Feb 2022 16:35:16 +0100
parents d360fc2d9620
children 7168d28b03e3
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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.LazyTensors
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6 using Sbplib.RegionIndices
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7 import Sbplib.SbpOperators.BoundaryOperator
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8
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9 @testset "normal_derivative" begin
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10 g_1D = EquidistantGrid(11, 0.0, 1.0)
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11 g_2D = EquidistantGrid((11,12), (0.0, 0.0), (1.0,1.0))
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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 d_closure = parse_stencil(stencil_set["d1"]["closure"])
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15 @testset "1D" begin
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16 d_l = normal_derivative(g_1D, d_closure, CartesianBoundary{1,Lower}())
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17 @test d_l == normal_derivative(g_1D, stencil_set, CartesianBoundary{1,Lower}())
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18 @test d_l isa BoundaryOperator{T,Lower} where T
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19 @test d_l isa TensorMapping{T,0,1} where T
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20 end
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21 @testset "2D" begin
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22 d_w = normal_derivative(g_2D, d_closure, CartesianBoundary{1,Lower}())
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23 d_n = normal_derivative(g_2D, d_closure, CartesianBoundary{2,Upper}())
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24 Ix = IdentityMapping{Float64}((size(g_2D)[1],))
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25 Iy = IdentityMapping{Float64}((size(g_2D)[2],))
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26 d_l = normal_derivative(restrict(g_2D,1),d_closure,CartesianBoundary{1,Lower}())
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27 d_r = normal_derivative(restrict(g_2D,2),d_closure,CartesianBoundary{1,Upper}())
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28 @test d_w == normal_derivative(g_2D, stencil_set, CartesianBoundary{1,Lower}())
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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, d_e, d_s, d_n) =
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44 map(id -> normal_derivative(g_2D, d_closure, id), boundary_identifiers(g_2D))
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46 @test d_w*v ≈ -v∂x[1,:] atol = 1e-13
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47 @test d_e*v ≈ v∂x[end,:] atol = 1e-13
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48 @test d_s*v ≈ -v∂y[:,1] atol = 1e-13
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49 @test d_n*v ≈ v∂y[:,end] atol = 1e-13
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50 end
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52 @testset "4th order" begin
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53 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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54 d_closure = parse_stencil(stencil_set["d1"]["closure"])
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55 (d_w, d_e, d_s, d_n) =
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56 map(id -> normal_derivative(g_2D, d_closure, id), boundary_identifiers(g_2D))
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57
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58 @test d_w*v ≈ -v∂x[1,:] atol = 1e-13
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59 @test d_e*v ≈ v∂x[end,:] atol = 1e-13
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60 @test d_s*v ≈ -v∂y[:,1] atol = 1e-13
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61 @test d_n*v ≈ v∂y[:,end] atol = 1e-13
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62 end
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63 end
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64 end