Mercurial > repos > public > sbplib_julia

annotate test/SbpOperators/volumeops/derivatives/first_derivative_test.jl @ 1410:c7c5bc2a1ce2 bugfix/grids/complete_interface_impl

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Add axes test
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Tue, 22 Aug 2023 22:21:48 +0200
parents 356ec6a72974
children 43aaf710463e
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
1 using Test
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
2
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
3
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
4 using Sbplib.SbpOperators
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
5 using Sbplib.Grids
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
6 using Sbplib.LazyTensors
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
7
983
5bfc03cf3ba7 Add testing for VolumeOperator
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 979
diff changeset
8 using Sbplib.SbpOperators: closure_size, Stencil, VolumeOperator
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
9
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
10 """
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
11 monomial(x,k)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
12
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
13 Evaluates ``x^k/k!` with the convetion that it is ``0`` for all ``k<0``.
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
14 Has the property that ``d/dx monomial(x,k) = monomial(x,k-1)``
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
15 """
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
16 function monomial(x,k)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
17 if k < 0
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
18 return zero(x)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
19 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
20 x^k/factorial(k)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
21 end
1158
c94a12327737 Disregard review comments about multi-d tests.
Jonatan Werpers <jonatan@werpers.com>
parents: 1153
diff changeset
22
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
23 @testset "first_derivative" begin
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
24 @testset "Constructors" begin
1018
5ec49dd2c7c4 Reintroduce read_stencil_set
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 990
diff changeset
25 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2)
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
26
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
27 g₁ = equidistant_grid(11, 0., 1.)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
28 g₂ = equidistant_grid((11,14), (0.,1.), (1.,3.))
983
5bfc03cf3ba7 Add testing for VolumeOperator
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 979
diff changeset
29
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
30 @test first_derivative(g₁, stencil_set) isa LazyTensor{Float64,1,1}
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 983
diff changeset
31 @test first_derivative(g₂, stencil_set, 2) isa LazyTensor{Float64,2,2}
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
32
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
33 interior_stencil = CenteredStencil(-1,0,1)
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
34 closure_stencils = [Stencil(-1,1, center=1)]
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
35
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
36 @test first_derivative(g₁, interior_stencil, closure_stencils) isa LazyTensor{Float64,1,1}
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
37 end
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
38
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
39 @testset "Accuracy conditions" begin
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
40 N = 20
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
41 g = equidistant_grid(N, 0//1,2//1)
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
42 @testset for order ∈ [2,4]
1018
5ec49dd2c7c4 Reintroduce read_stencil_set
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 990
diff changeset
43 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order)
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
44 D₁ = first_derivative(g, stencil_set)
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
45
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
46 @testset "boundary x^$k" for k ∈ 0:order÷2
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
47 v = eval_on(g, x->monomial(x,k))
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
48
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
49 @testset for i ∈ 1:closure_size(D₁)
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
50 x, = g[i]
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
51 @test (D₁*v)[i] == monomial(x,k-1)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
52 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
53
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
54 @testset for i ∈ (N-closure_size(D₁)+1):N
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
55 x, = g[i]
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
56 @test (D₁*v)[i] == monomial(x,k-1)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
57 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
58 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
59
978
1a05009e731b Add tests for constructors
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
60 @testset "interior x^$k" for k ∈ 0:order
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
61 v = eval_on(g, x->monomial(x,k))
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
62
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
63 x, = g[10]
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
64 @test (D₁*v)[10] == monomial(x,k-1)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
65 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
66 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
67 end
979
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
68
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
69 @testset "Accuracy on function" begin
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
70 @testset "1D" begin
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
71 g = equidistant_grid(30, 0.,1.)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
72 v = eval_on(g, x->exp(x))
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
73 @testset for (order, tol) ∈ [(2, 6e-3),(4, 2e-4)]
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
74 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
75 D₁ = first_derivative(g, stencil_set)
979
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
76
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
77 @test D₁*v ≈ v rtol=tol
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
78 end
979
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
79 end
1046
e00eb000346e Add tests for 2D application
Jonatan Werpers <jonatan@werpers.com>
parents: 983
diff changeset
80
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
81 @testset "2D" begin
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
82 g = equidistant_grid((30,60), (0.,0.),(1.,2.))
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
83 v = eval_on(g, (x,y)->exp(0.8x+1.2*y))
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
84 @testset for (order, tol) ∈ [(2, 6e-3),(4, 3e-4)]
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
85 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
86 Dx = first_derivative(g, stencil_set, 1)
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
87 Dy = first_derivative(g, stencil_set, 2)
1046
e00eb000346e Add tests for 2D application
Jonatan Werpers <jonatan@werpers.com>
parents: 983
diff changeset
88
1291
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
89 @test Dx*v ≈ 0.8v rtol=tol
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
90 @test Dy*v ≈ 1.2v rtol=tol
356ec6a72974 Implement changes in SbpOperators
Jonatan Werpers <jonatan@werpers.com>
parents: 1285
diff changeset
91 end
1046
e00eb000346e Add tests for 2D application
Jonatan Werpers <jonatan@werpers.com>
parents: 983
diff changeset
92 end
979
b90446eb5f27 Add accuracy test for funtion
Jonatan Werpers <jonatan@werpers.com>
parents: 978
diff changeset
93 end
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
94 end
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
95