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Add 1D and 3D tests for boundary conditions (#38)
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@luraess
luraess authored Aug 28, 2024
1 parent 6e3ae01 commit 4eab90f
Showing 1 changed file with 186 additions and 39 deletions.
225 changes: 186 additions & 39 deletions test/test_boundary_conditions.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -8,54 +8,201 @@ using Chmy.BoundaryConditions
for backend in backends
@testset "$(basename(@__FILE__)) (backend: $backend)" begin
arch = Arch(backend)
nx, ny = 8, 8
grid = UniformGrid(arch; origin=(-π, -π), extent=(2π, 2π), dims=(nx, ny))
field = Field(arch, grid, (Center(), Vertex()))

@testset "default Dirichlet" begin
set!(field, 1)
bc!(arch, grid, field => Dirichlet())
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1, 2:end-1] .≈ .-field_i[2, 2:end-1])
@test all(field_i[end, 2:end-1] .≈ .-field_i[end-1, 2:end-1])

@test all(field_i[2:end-1, 2] .≈ 0.0)
@test all(field_i[2:end-1, end-1] .≈ 0.0)

@testset "1D Cartesian Center()" begin
nx = 8
grid = UniformGrid(arch; origin=(-π,), extent=(2π,), dims=(nx,))
field = Field(arch, grid, Center())

@testset "default Dirichlet" begin
set!(field, 1)
bc!(arch, grid, field => Dirichlet())
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1] .≈ .-field_i[2])
@test all(field_i[end] .≈ .-field_i[end-1])
end

@testset "default Neumann" begin
set!(field, 1)
bc!(arch, grid, field => Neumann())
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1] .≈ field_i[2])
@test all(field_i[end] .≈ field_i[end-1])
end

@testset "non-homogenous Dirichlet" begin
set!(field, 1)
v = 2.0
bc!(arch, grid, field => Dirichlet(v))
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1] .≈ .-field_i[2] .+ 2v)
@test all(field_i[end] .≈ .-field_i[end-1] .+ 2v)
end

@testset "non-homogenous Neumann" begin
set!(field, 1)
q = 2.0
bc!(arch, grid, field => Neumann(q))
field_i = interior(field; with_halo=true) |> Array
@test all((field_i[2] .- field_i[1]) ./ Δx(grid, Vertex(), 1) .≈ q)
@test all((field_i[end] .- field_i[end-1]) ./ Δx(grid, Vertex(), nx + 1) .≈ q)
end
end

@testset "default Neumann" begin
set!(field, 1)
bc!(arch, grid, field => Neumann())
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1, 2:end-1] .≈ field_i[2, 2:end-1])
@test all(field_i[end, 2:end-1] .≈ field_i[end-1, 2:end-1])
@testset "1D Cartesian Vertex()" begin
nx = 8
grid = UniformGrid(arch; origin=(-π,), extent=(2π,), dims=(nx,))
field = Field(arch, grid, Vertex())

@testset "default Dirichlet" begin
set!(field, 1)
bc!(arch, grid, field => Dirichlet())
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[2] .≈ 0.0)
@test all(field_i[end-1] .≈ 0.0)
end

@testset "default Neumann" begin
set!(field, 1)
bc!(arch, grid, field => Neumann())
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1] .≈ field_i[2])
@test all(field_i[end] .≈ field_i[end-1])
end

@test all(field_i[2:end-1, 1] .≈ field_i[2:end-1, 2])
@test all(field_i[2:end-1, end] .≈ field_i[2:end-1, end-1])
@testset "non-homogenous Dirichlet" begin
set!(field, 1)
v = 2.0
bc!(arch, grid, field => Dirichlet(v))
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[2] .≈ v)
@test all(field_i[end-1] .≈ v)
end

@testset "non-homogenous Neumann" begin
set!(field, 1)
q = 2.0
bc!(arch, grid, field => Neumann(q))
field_i = interior(field; with_halo=true) |> Array
@test all((field_i[2] .- field_i[1]) ./ Δx(grid, Center(), 0) .≈ q)
@test all((field_i[end] .- field_i[end-1]) ./ Δx(grid, Center(), nx + 1) .≈ q)
end
end

@testset "non-homogenous Dirichlet" begin
set!(field, 1)
v = 2.0
bc!(arch, grid, field => Dirichlet(v))
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1, 2:end-1] .≈ .-field_i[2, 2:end-1] .+ 2v)
@test all(field_i[end, 2:end-1] .≈ .-field_i[end-1, 2:end-1] .+ 2v)
@testset "2D Cartesian" begin
nx, ny = 8, 8
grid = UniformGrid(arch; origin=(-π, -π), extent=(2π, 2π), dims=(nx, ny))
field = Field(arch, grid, (Center(), Vertex()))

@testset "default Dirichlet" begin
set!(field, 1)
bc!(arch, grid, field => Dirichlet())
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1, 2:end-1] .≈ .-field_i[2, 2:end-1])
@test all(field_i[end, 2:end-1] .≈ .-field_i[end-1, 2:end-1])

@test all(field_i[2:end-1, 2] .≈ 0.0)
@test all(field_i[2:end-1, end-1] .≈ 0.0)
end

@testset "default Neumann" begin
set!(field, 1)
bc!(arch, grid, field => Neumann())
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1, 2:end-1] .≈ field_i[2, 2:end-1])
@test all(field_i[end, 2:end-1] .≈ field_i[end-1, 2:end-1])

@test all(field_i[2:end-1, 1] .≈ field_i[2:end-1, 2])
@test all(field_i[2:end-1, end] .≈ field_i[2:end-1, end-1])
end

@testset "non-homogenous Dirichlet" begin
set!(field, 1)
v = 2.0
bc!(arch, grid, field => Dirichlet(v))
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1, 2:end-1] .≈ .-field_i[2, 2:end-1] .+ 2v)
@test all(field_i[end, 2:end-1] .≈ .-field_i[end-1, 2:end-1] .+ 2v)

@test all(field_i[2:end-1, 2] .≈ v)
@test all(field_i[2:end-1, end-1] .≈ v)
@test all(field_i[2:end-1, 2] .≈ v)
@test all(field_i[2:end-1, end-1] .≈ v)
end

@testset "non-homogenous Neumann" begin
set!(field, 1)
q = 2.0
bc!(arch, grid, field => Neumann(q))
field_i = interior(field; with_halo=true) |> Array
@test all((field_i[2, 2:end-1] .- field_i[1, 2:end-1]) ./ Δx(grid, Vertex(), 1, 1) .≈ q)
@test all((field_i[end, 2:end-1] .- field_i[end-1, 2:end-1]) ./ Δx(grid, Vertex(), nx + 1, 1) .≈ q)

@test all((field_i[2:end-1, 2] .- field_i[2:end-1, 1]) ./ Δy(grid, Center(), 1, 0) .≈ q)
@test all((field_i[2:end-1, end] .- field_i[2:end-1, end-1]) ./ Δy(grid, Center(), 1, ny + 1) .≈ q)
end
end

@testset "non-homogenous Neumann" begin
set!(field, 1)
q = 2.0
bc!(arch, grid, field => Neumann(q))
field_i = interior(field; with_halo=true) |> Array
@test all((field_i[2, 2:end-1] .- field_i[1, 2:end-1]) ./ Δx(grid, Vertex(), 1, 1) .≈ q)
@test all((field_i[end, 2:end-1] .- field_i[end-1, 2:end-1]) ./ Δx(grid, Vertex(), nx + 1, 1) .≈ q)
@testset "3D Cartesian" begin
nx, ny, nz = 8, 8, 6
grid = UniformGrid(arch; origin=(-π, -π, -π), extent=(2π, 2π, 2π), dims=(nx, ny, nz))
field = Field(arch, grid, (Center(), Vertex(), Center()))

@testset "default Dirichlet" begin
set!(field, 1)
bc!(arch, grid, field => Dirichlet())
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1, 2:end-1, 2:end-1] .≈ .-field_i[2, 2:end-1, 2:end-1])
@test all(field_i[end, 2:end-1, 2:end-1] .≈ .-field_i[end-1, 2:end-1, 2:end-1])

@test all(field_i[2:end-1, 2, 2:end-1] .≈ 0.0)
@test all(field_i[2:end-1, end-1, 2:end-1] .≈ 0.0)

@test all(field_i[2:end-1, 2:end-1, 1] .≈ .-field_i[2:end-1, 2:end-1, 2])
@test all(field_i[2:end-1, 2:end-1, end] .≈ .-field_i[2:end-1, 2:end-1, end-1])
end

@testset "default Neumann" begin
set!(field, 1)
bc!(arch, grid, field => Neumann())
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1, 2:end-1, 2:end-1] .≈ field_i[2, 2:end-1, 2:end-1])
@test all(field_i[end, 2:end-1, 2:end-1] .≈ field_i[end-1, 2:end-1, 2:end-1])

@test all(field_i[2:end-1, 1, 2:end-1] .≈ field_i[2:end-1, 2, 2:end-1])
@test all(field_i[2:end-1, end, 2:end-1] .≈ field_i[2:end-1, end-1, 2:end-1])

@test all(field_i[2:end-1, 2:end-1, 1] .≈ field_i[2:end-1, 2:end-1, 2])
@test all(field_i[2:end-1, 2:end-1, end] .≈ field_i[2:end-1, 2:end-1, end-1])
end

@testset "non-homogenous Dirichlet" begin
set!(field, 1)
v = 2.0
bc!(arch, grid, field => Dirichlet(v))
field_i = interior(field; with_halo=true) |> Array
@test all(field_i[1, 2:end-1, 2:end-1] .≈ .-field_i[2, 2:end-1, 2:end-1] .+ 2v)
@test all(field_i[end, 2:end-1, 2:end-1] .≈ .-field_i[end-1, 2:end-1, 2:end-1] .+ 2v)

@test all(field_i[2:end-1, 2, 2:end-1] .≈ v)
@test all(field_i[2:end-1, end-1, 2:end-1] .≈ v)

@test all(field_i[2:end-1, 2:end-1, 1] .≈ .-field_i[2:end-1, 2:end-1, 2] .+ 2v)
@test all(field_i[2:end-1, 2:end-1, end] .≈ .-field_i[2:end-1, 2:end-1, end-1] .+ 2v)
end

@testset "non-homogenous Neumann" begin
set!(field, 1)
q = 2.0
bc!(arch, grid, field => Neumann(q))
field_i = interior(field; with_halo=true) |> Array
@test all((field_i[2, 2:end-1, 2:end-1] .- field_i[1, 2:end-1, 2:end-1]) ./ Δx(grid, Vertex(), 1, 1, 1) .≈ q)
@test all((field_i[end, 2:end-1, 2:end-1] .- field_i[end-1, 2:end-1, 2:end-1]) ./ Δx(grid, Vertex(), nx + 1, 1, 1) .≈ q)

@test all((field_i[2:end-1, 2, 2:end-1] .- field_i[2:end-1, 1, 2:end-1]) ./ Δy(grid, Center(), 1, 0, 1) .≈ q)
@test all((field_i[2:end-1, end, 2:end-1] .- field_i[2:end-1, end-1, 2:end-1]) ./ Δy(grid, Center(), 1, ny + 1, 1) .≈ q)

@test all((field_i[2:end-1, 2] .- field_i[2:end-1, 1]) ./ Δy(grid, Center(), 1, 0) .≈ q)
@test all((field_i[2:end-1, end] .- field_i[2:end-1, end-1]) ./ Δy(grid, Center(), 1, ny + 1) .≈ q)
@test all((field_i[2:end-1, 2:end-1, 2] .- field_i[2:end-1, 2:end-1, 1]) ./ Δz(grid, Vertex(), 1, 1, 1) .≈ q)
@test all((field_i[2:end-1, 2:end-1, end] .- field_i[2:end-1, 2:end-1, end-1]) ./ Δz(grid, Vertex(), 1, 1, nz + 1) .≈ q)
end
end
end
end

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Registration pull request created: JuliaRegistries/General/114060

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