Mercurial > repos > public > sbplib_julia

annotate test/SbpOperators/volumeops/laplace/laplace_test.jl @ 816:f64c0bf9c1eb refactor/inner_product_recursive

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Close branch before merge
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 13 Jan 2022 12:28:37 +0100
parents 6114274447f5
children f88b2117dc69 24df68453890
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
1 using Test
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
2
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
3 using Sbplib.SbpOperators
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
4 using Sbplib.Grids
732
6114274447f5 Add missing using and imports in test files
Jonatan Werpers <jonatan@werpers.com>
parents: 728
diff changeset
5 using Sbplib.LazyTensors
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
6
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
7 @testset "Laplace" begin
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
8 g_1D = EquidistantGrid(101, 0.0, 1.)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
9 g_3D = EquidistantGrid((51,101,52), (0.0, -1.0, 0.0), (1., 1., 1.))
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
10 @testset "Constructors" begin
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
11 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
12 @testset "1D" begin
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
13 L = laplace(g_1D, op.innerStencil, op.closureStencils)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
14 @test L == second_derivative(g_1D, op.innerStencil, op.closureStencils)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
15 @test L isa TensorMapping{T,1,1} where T
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
16 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
17 @testset "3D" begin
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
18 L = laplace(g_3D, op.innerStencil, op.closureStencils)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
19 @test L isa TensorMapping{T,3,3} where T
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
20 Dxx = second_derivative(g_3D, op.innerStencil, op.closureStencils,1)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
21 Dyy = second_derivative(g_3D, op.innerStencil, op.closureStencils,2)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
22 Dzz = second_derivative(g_3D, op.innerStencil, op.closureStencils,3)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
23 @test L == Dxx + Dyy + Dzz
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
24 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
25 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
26
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
27 # Exact differentiation is measured point-wise. In other cases
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
28 # the error is measured in the l2-norm.
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
29 @testset "Accuracy" begin
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
30 l2(v) = sqrt(prod(spacing(g_3D))*sum(v.^2));
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
31 polynomials = ()
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
32 maxOrder = 4;
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
33 for i = 0:maxOrder-1
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
34 f_i(x,y,z) = 1/factorial(i)*(y^i + x^i + z^i)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
35 polynomials = (polynomials...,evalOn(g_3D,f_i))
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
36 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
37 v = evalOn(g_3D, (x,y,z) -> sin(x) + cos(y) + exp(z))
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
38 Δv = evalOn(g_3D,(x,y,z) -> -sin(x) - cos(y) + exp(z))
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
39
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
40 # 2nd order interior stencil, 1st order boundary stencil,
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
41 # implies that L*v should be exact for binomials up to order 2.
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
42 @testset "2nd order" begin
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
43 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
44 L = laplace(g_3D,op.innerStencil,op.closureStencils)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
45 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
46 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
47 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
48 @test L*v ≈ Δv rtol = 5e-2 norm = l2
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
49 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
50
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
51 # 4th order interior stencil, 2nd order boundary stencil,
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
52 # implies that L*v should be exact for binomials up to order 3.
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
53 @testset "4th order" begin
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
54 op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
55 L = laplace(g_3D,op.innerStencil,op.closureStencils)
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
56 # NOTE: high tolerances for checking the "exact" differentiation
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
57 # due to accumulation of round-off errors/cancellation errors?
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
58 @test L*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
59 @test L*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
60 @test L*polynomials[3] ≈ polynomials[1] atol = 5e-9
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
61 @test L*polynomials[4] ≈ polynomials[2] atol = 5e-9
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
62 @test L*v ≈ Δv rtol = 5e-4 norm = l2
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
63 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
64 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
65 end