Mercurial > repos > public > sbplib_julia
changeset 670:538ccbaeb1f8 feature/boundary_quads
Update quadrature tests
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
---|---|
date | Sat, 06 Feb 2021 12:04:06 +0100 |
parents | 2a95beb9ef1d |
children | 1ce3a104afc8 bf48761c1345 |
files | test/testSbpOperators.jl |
diffstat | 1 files changed, 58 insertions(+), 23 deletions(-) [+] |
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--- a/test/testSbpOperators.jl Sat Feb 06 12:03:46 2021 +0100 +++ b/test/testSbpOperators.jl Sat Feb 06 12:04:06 2021 +0100 @@ -290,7 +290,7 @@ @test Dₓₓ*v ≈ vₓₓ rtol = 5e-4 norm = l2 end end - + @testset "2D" begin l2(v) = sqrt(prod(spacing(g_2D))*sum(v.^2)); binomials = () @@ -390,38 +390,73 @@ end end -@testset "DiagonalQuadrature" begin +@testset "Quadrature diagonal" begin Lx = π/2. Ly = Float64(π) + Lz = 1. g_1D = EquidistantGrid(77, 0.0, Lx) g_2D = EquidistantGrid((77,66), (0.0, 0.0), (Lx,Ly)) + g_3D = EquidistantGrid((10,10, 10), (0.0, 0.0, 0.0), (Lx,Ly,Lz)) integral(H,v) = sum(H*v) - @testset "Constructors" begin + @testset "quadrature" begin + op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) + @testset "1D" begin + H = quadrature(g_1D,op.quadratureClosure) + inner_stencil = Stencil((1.,),center=1) + @test H == quadrature(g_1D,inner_stencil,op.quadratureClosure) + @test H isa TensorMapping{T,1,1} where T + end + @testset "2D" begin + H = quadrature(g_2D,op.quadratureClosure) + H_x = quadrature(restrict(g_2D,1),op.quadratureClosure) + H_y = quadrature(restrict(g_2D,2),op.quadratureClosure) + @test H == H_x⊗H_y + @test H isa TensorMapping{T,2,2} where T + end + end + + @testset "boundary_quadrature" begin op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) @testset "1D" begin - H = DiagonalQuadrature(g_1D,op.quadratureClosure) - inner_stencil = Stencil((1.,),center=1) - @test H == Quadrature(g_1D,inner_stencil,op.quadratureClosure) - @test H isa TensorMapping{T,1,1} where T + (id_l, id_r) = boundary_identifiers(g_1D) + @test boundary_quadrature(g_1D,op.quadratureClosure,id_l) == IdentityMapping{Float64}() + @test boundary_quadrature(g_1D,op.quadratureClosure,id_r) == IdentityMapping{Float64}() + + end + @testset "2D" begin + (id_w, id_e, id_s, id_n) = boundary_identifiers(g_2D) + H_x = quadrature(restrict(g_2D,1),op.quadratureClosure) + H_y = quadrature(restrict(g_2D,2),op.quadratureClosure) + @test boundary_quadrature(g_2D,op.quadratureClosure,id_w) == H_y + @test boundary_quadrature(g_2D,op.quadratureClosure,id_e) == H_y + @test boundary_quadrature(g_2D,op.quadratureClosure,id_s) == H_x + @test boundary_quadrature(g_2D,op.quadratureClosure,id_n) == H_x end - @testset "1D" begin - H = DiagonalQuadrature(g_2D,op.quadratureClosure) - H_x = DiagonalQuadrature(restrict(g_2D,1),op.quadratureClosure) - H_y = DiagonalQuadrature(restrict(g_2D,2),op.quadratureClosure) - @test H == H_x⊗H_y - @test H isa TensorMapping{T,2,2} where T + @testset "3D" begin + (id_w, id_e, + id_s, id_n, + id_t, id_b) = boundary_identifiers(g_3D) + H_xy = quadrature(restrict(g_3D,[1,2]),op.quadratureClosure) + H_xz = quadrature(restrict(g_3D,[1,3]),op.quadratureClosure) + H_yz = quadrature(restrict(g_3D,[2,3]),op.quadratureClosure) + @test boundary_quadrature(g_3D,op.quadratureClosure,id_w) == H_yz + @test boundary_quadrature(g_3D,op.quadratureClosure,id_e) == H_yz + @test boundary_quadrature(g_3D,op.quadratureClosure,id_s) == H_xz + @test boundary_quadrature(g_3D,op.quadratureClosure,id_n) == H_xz + @test boundary_quadrature(g_3D,op.quadratureClosure,id_t) == H_xy + @test boundary_quadrature(g_3D,op.quadratureClosure,id_b) == H_xy end end @testset "Sizes" begin op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) @testset "1D" begin - H = DiagonalQuadrature(g_1D,op.quadratureClosure) + H = quadrature(g_1D,op.quadratureClosure) @test domain_size(H) == size(g_1D) @test range_size(H) == size(g_1D) end @testset "2D" begin - H = DiagonalQuadrature(g_2D,op.quadratureClosure) + H = quadrature(g_2D,op.quadratureClosure) @test domain_size(H) == size(g_2D) @test range_size(H) == size(g_2D) end @@ -438,7 +473,7 @@ @testset "2nd order" begin op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) - H = DiagonalQuadrature(g_1D,op.quadratureClosure) + H = quadrature(g_1D,op.quadratureClosure) for i = 1:2 @test integral(H,v[i]) ≈ v[i+1][end] - v[i+1][1] rtol = 1e-14 end @@ -447,7 +482,7 @@ @testset "4th order" begin op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) - H = DiagonalQuadrature(g_1D,op.quadratureClosure) + H = quadrature(g_1D,op.quadratureClosure) for i = 1:4 @test integral(H,v[i]) ≈ v[i+1][end] - v[i+1][1] rtol = 1e-14 end @@ -461,13 +496,13 @@ u = evalOn(g_2D,(x,y)->sin(x)+cos(y)) @testset "2nd order" begin op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) - H = DiagonalQuadrature(g_2D,op.quadratureClosure) + H = quadrature(g_2D,op.quadratureClosure) @test integral(H,v) ≈ b*Lx*Ly rtol = 1e-13 @test integral(H,u) ≈ π rtol = 1e-4 end @testset "4th order" begin op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) - H = DiagonalQuadrature(g_2D,op.quadratureClosure) + H = quadrature(g_2D,op.quadratureClosure) @test integral(H,v) ≈ b*Lx*Ly rtol = 1e-13 @test integral(H,u) ≈ π rtol = 1e-8 end @@ -521,14 +556,14 @@ u = evalOn(g_1D,x->x^3-x^2+1) @testset "2nd order" begin op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) - H = DiagonalQuadrature(g_1D,op.quadratureClosure) + H = quadrature(g_1D,op.quadratureClosure) Hi = InverseDiagonalQuadrature(g_1D,op.quadratureClosure) @test Hi*H*v ≈ v rtol = 1e-15 @test Hi*H*u ≈ u rtol = 1e-15 end @testset "4th order" begin op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) - H = DiagonalQuadrature(g_1D,op.quadratureClosure) + H = quadrature(g_1D,op.quadratureClosure) Hi = InverseDiagonalQuadrature(g_1D,op.quadratureClosure) @test Hi*H*v ≈ v rtol = 1e-15 @test Hi*H*u ≈ u rtol = 1e-15 @@ -539,14 +574,14 @@ u = evalOn(g_2D,(x,y)->x*y + x^5 - sqrt(y)) @testset "2nd order" begin op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=2) - H = DiagonalQuadrature(g_2D,op.quadratureClosure) + H = quadrature(g_2D,op.quadratureClosure) Hi = InverseDiagonalQuadrature(g_2D,op.quadratureClosure) @test Hi*H*v ≈ v rtol = 1e-15 @test Hi*H*u ≈ u rtol = 1e-15 end @testset "4th order" begin op = read_D2_operator(sbp_operators_path()*"standard_diagonal.toml"; order=4) - H = DiagonalQuadrature(g_2D,op.quadratureClosure) + H = quadrature(g_2D,op.quadratureClosure) Hi = InverseDiagonalQuadrature(g_2D,op.quadratureClosure) @test Hi*H*v ≈ v rtol = 1e-15 @test Hi*H*u ≈ u rtol = 1e-15