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annotate test/SbpOperators/volumeops/laplace/laplace_test.jl @ 836:91a63b04b1c9 operator_storage_array_of_table

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Attempt to make variable names for parse functions more descriptive
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 13 Jan 2022 13:09:10 +0100
parents 24df68453890
children 1784b1c0af3e
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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 Sbplib.SbpOperators
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4 using Sbplib.Grids
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5 using Sbplib.LazyTensors
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7 @testset "Laplace" begin
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8 g_1D = EquidistantGrid(101, 0.0, 1.)
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9 g_3D = EquidistantGrid((51,101,52), (0.0, -1.0, 0.0), (1., 1., 1.))
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10 @testset "Constructors" begin
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11 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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12 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
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13 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
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14 @testset "1D" begin
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15 L = laplace(g_1D, inner_stencil, closure_stencils)
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16 @test L == second_derivative(g_1D, inner_stencil, closure_stencils)
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17 @test L isa TensorMapping{T,1,1} where T
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18 end
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19 @testset "3D" begin
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20 L = laplace(g_3D, inner_stencil, closure_stencils)
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21 @test L isa TensorMapping{T,3,3} where T
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22 Dxx = second_derivative(g_3D, inner_stencil, closure_stencils, 1)
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23 Dyy = second_derivative(g_3D, inner_stencil, closure_stencils, 2)
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24 Dzz = second_derivative(g_3D, inner_stencil, closure_stencils, 3)
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25 @test L == Dxx + Dyy + Dzz
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26 end
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27 end
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29 # Exact differentiation is measured point-wise. In other cases
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30 # the error is measured in the l2-norm.
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31 @testset "Accuracy" begin
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32 l2(v) = sqrt(prod(spacing(g_3D))*sum(v.^2));
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33 polynomials = ()
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34 maxOrder = 4;
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35 for i = 0:maxOrder-1
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36 f_i(x,y,z) = 1/factorial(i)*(y^i + x^i + z^i)
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37 polynomials = (polynomials...,evalOn(g_3D,f_i))
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38 end
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39 v = evalOn(g_3D, (x,y,z) -> sin(x) + cos(y) + exp(z))
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40 Δv = evalOn(g_3D,(x,y,z) -> -sin(x) - cos(y) + exp(z))
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41
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42 # 2nd order interior stencil, 1st order boundary stencil,
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43 # implies that L*v should be exact for binomials up to order 2.
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44 @testset "2nd order" begin
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45 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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46 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
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47 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
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48 L = laplace(g_3D, inner_stencil, closure_stencils)
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49 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
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50 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
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51 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9
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52 @test L*v ≈ Δv rtol = 5e-2 norm = l2
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53 end
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54
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55 # 4th order interior stencil, 2nd order boundary stencil,
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56 # implies that L*v should be exact for binomials up to order 3.
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57 @testset "4th order" begin
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58 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4)
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59 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
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60 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
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61 L = laplace(g_3D, inner_stencil, closure_stencils)
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62 # NOTE: high tolerances for checking the "exact" differentiation
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63 # due to accumulation of round-off errors/cancellation errors?
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64 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
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65 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
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66 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9
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67 @test L*polynomials[4] ≈ polynomials[2] atol = 5e-9
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68 @test L*v ≈ Δv rtol = 5e-4 norm = l2
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69 end
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70 end
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71 end