Mercurial > repos > public > sbplib_julia

annotate test/SbpOperators/volumeops/laplace/laplace_test.jl @ 1529:43aaf710463e refactor/equidistant_grid/signature

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Change to signature of equidistant_grid to same style as many array methods. See for example Array{T}(undef, dims...), zeros(T, dims...), fill(a, dims...) and more.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 11 Apr 2024 22:31:04 +0200
parents 356ec6a72974
children 43e6acbefdd1 d68d02dd882f
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
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
7 @testset "Laplace" begin
1285
7d52c4835d15 Skip broken testsets
Jonatan Werpers <jonatan@werpers.com>
parents: 1040
diff changeset
8 # Default stencils (4th order)
7d52c4835d15 Skip broken testsets
Jonatan Werpers <jonatan@werpers.com>
parents: 1040
diff changeset
9 operator_path = sbp_operators_path()*"standard_diagonal.toml"
7d52c4835d15 Skip broken testsets
Jonatan Werpers <jonatan@werpers.com>
parents: 1040
diff changeset
10 stencil_set = read_stencil_set(operator_path; order=4)
1529
43aaf710463e Change to signature of equidistant_grid to same style as many array methods.
Jonatan Werpers <jonatan@werpers.com>
parents: 1291
diff changeset
11 g_1D = equidistant_grid(0.0, 1., 101)
43aaf710463e Change to signature of equidistant_grid to same style as many array methods.
Jonatan Werpers <jonatan@werpers.com>
parents: 1291
diff changeset
12 g_3D = equidistant_grid((0.0, -1.0, 0.0), (1., 1., 1.), 51, 101, 52)
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
13
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
14 @testset "Constructors" begin
750
f88b2117dc69 Merge in default
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 732
diff changeset
15 @testset "1D" begin
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
16 @test Laplace(g_1D, stencil_set) == Laplace(laplace(g_1D, stencil_set), stencil_set)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
17 @test Laplace(g_1D, stencil_set) isa LazyTensor{Float64,1,1}
750
f88b2117dc69 Merge in default
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 732
diff changeset
18 end
f88b2117dc69 Merge in default
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 732
diff changeset
19 @testset "3D" begin
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
20 @test Laplace(g_3D, stencil_set) == Laplace(laplace(g_3D, stencil_set),stencil_set)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
21 @test Laplace(g_3D, stencil_set) isa LazyTensor{Float64,3,3}
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
22 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
23 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
24
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
25 # 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
26 # the error is measured in the l2-norm.
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
27 @testset "Accuracy" begin
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
28 l2(v) = sqrt(prod(spacing.(g_3D.grids))*sum(v.^2));
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
29 polynomials = ()
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
30 maxOrder = 4;
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
31 for i = 0:maxOrder-1
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
32 f_i(x,y,z) = 1/factorial(i)*(y^i + x^i + z^i)
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
33 polynomials = (polynomials...,eval_on(g_3D,f_i))
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
34 end
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
35 # v = eval_on(g_3D, (x,y,z) -> sin(x) + cos(y) + exp(z))
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
36 # Δv = eval_on(g_3D,(x,y,z) -> -sin(x) - cos(y) + exp(z))
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
37
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
38 v = eval_on(g_3D, x̄ -> sin(x̄[1]) + cos(x̄[2]) + exp(x̄[3]))
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
39 Δv = eval_on(g_3D, x̄ -> -sin(x̄[1]) - cos(x̄[2]) + exp(x̄[3]))
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
40 @inferred v[1,2,3]
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
41
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
42 # 2nd order interior stencil, 1st order boundary stencil,
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
43 # 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
44 @testset "2nd order" begin
1018
5ec49dd2c7c4 Reintroduce read_stencil_set
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 990
diff changeset
45 stencil_set = read_stencil_set(operator_path; order=2)
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
46 Δ = Laplace(g_3D, stencil_set)
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
47 @test Δ*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
48 @test Δ*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
49 @test Δ*polynomials[3] ≈ polynomials[1] atol = 5e-9
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
50 @test Δ*v ≈ Δv rtol = 5e-2 norm = l2
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
51 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
52
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
53 # 4th order interior stencil, 2nd order boundary stencil,
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
54 # 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
55 @testset "4th order" begin
1018
5ec49dd2c7c4 Reintroduce read_stencil_set
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 990
diff changeset
56 stencil_set = read_stencil_set(operator_path; order=4)
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
57 Δ = Laplace(g_3D, stencil_set)
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
58 # NOTE: high tolerances for checking the "exact" differentiation
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
59 # due to accumulation of round-off errors/cancellation errors?
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
60 @test Δ*polynomials[1] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
61 @test Δ*polynomials[2] ≈ zeros(Float64, size(g_3D)...) atol = 5e-9
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
62 @test Δ*polynomials[3] ≈ polynomials[1] atol = 5e-9
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
63 @test Δ*polynomials[4] ≈ polynomials[2] atol = 5e-9
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
64 @test Δ*v ≈ Δv rtol = 5e-4 norm = l2
728
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
65 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
66 end
45966c77cb20 Split tests for SbpOperators over several files
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
67 end
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
68
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
69 @testset "laplace" begin
1285
7d52c4835d15 Skip broken testsets
Jonatan Werpers <jonatan@werpers.com>
parents: 1040
diff changeset
70 operator_path = sbp_operators_path()*"standard_diagonal.toml"
7d52c4835d15 Skip broken testsets
Jonatan Werpers <jonatan@werpers.com>
parents: 1040
diff changeset
71 stencil_set = read_stencil_set(operator_path; order=4)
1529
43aaf710463e Change to signature of equidistant_grid to same style as many array methods.
Jonatan Werpers <jonatan@werpers.com>
parents: 1291
diff changeset
72 g_1D = equidistant_grid(0.0, 1., 101)
43aaf710463e Change to signature of equidistant_grid to same style as many array methods.
Jonatan Werpers <jonatan@werpers.com>
parents: 1291
diff changeset
73 g_3D = equidistant_grid((0.0, -1.0, 0.0), (1., 1., 1.), 51, 101, 52)
1285
7d52c4835d15 Skip broken testsets
Jonatan Werpers <jonatan@werpers.com>
parents: 1040
diff changeset
74
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
75 @testset "1D" begin
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
76 Δ = laplace(g_1D, stencil_set)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
77 @test Δ == second_derivative(g_1D, stencil_set)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
78 @test Δ isa LazyTensor{Float64,1,1}
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
79 end
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
80 @testset "3D" begin
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
81 Δ = laplace(g_3D, stencil_set)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
82 @test Δ isa LazyTensor{Float64,3,3}
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
83 Dxx = second_derivative(g_3D, stencil_set, 1)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
84 Dyy = second_derivative(g_3D, stencil_set, 2)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
85 Dzz = second_derivative(g_3D, stencil_set, 3)
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
86 @test Δ == Dxx + Dyy + Dzz
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
87 @test Δ isa LazyTensor{Float64,3,3}
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
88 end
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
89 end
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 872
diff changeset
90