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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,12 @@ | ||
| using OrthogonalSphericalShellGrids | ||
| using Oceananigans | ||
| using Oceananigans.Grids: halo_size, φnodes, λnodes | ||
| using Oceananigans.Utils | ||
| using Oceananigans.BoundaryConditions | ||
| using OrthogonalSphericalShellGrids: get_cartesian_nodes_and_vertices | ||
| using Oceananigans.CUDA | ||
| using Test | ||
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| using KernelAbstractions: @kernel, @index | ||
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| arch = CUDA.has_cuda_gpu() ? GPU() : CPU() |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,16 +1,36 @@ | ||
| using OrthogonalSphericalShellGrids | ||
| using OrthogonalSphericalShellGrids.Oceananigans | ||
| using Oceananigans: GPU, CPU | ||
| using Oceananigans.CUDA | ||
| using Test | ||
| include("dependencies_for_runtests.jl") | ||
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| arch = CUDA.has_cuda_gpu() ? GPU() : CPU() | ||
| @testset "Unit tests..." begin | ||
| grid = TripolarGrid(size = (4, 5, 1), z = (0, 1), | ||
| first_pole_longitude = 75, | ||
| north_poles_latitude = 35, | ||
| southernmost_latitude = -80) | ||
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| @testset "OrthogonalSphericalShellGrids.jl" begin | ||
| # We probably do not need any unit tests. | ||
| @test grid isa TripolarGrid | ||
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| # Test the grid? | ||
| grid = TripolarGrid(arch; size = (10, 10, 1)) | ||
| @test grid.Nx == 4 | ||
| @test grid.Ny == 5 | ||
| @test grid.Nz == 1 | ||
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| # Test boundary conditions? | ||
| @test grid.conformal_mapping.first_pole_longitude == 75 | ||
| @test grid.conformal_mapping.north_poles_latitude == 35 | ||
| @test grid.conformal_mapping.southernmost_latitude == -80 | ||
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| λᶜᶜᵃ = λnodes(grid, Center(), Center()) | ||
| φᶜᶜᵃ = φnodes(grid, Center(), Center()) | ||
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| min_Δφ = minimum(φᶜᶜᵃ[:, 2] .- φᶜᶜᵃ[:, 1]) | ||
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| @test minimum(λᶜᶜᵃ) ≥ 0 | ||
| @test maximum(λᶜᶜᵃ) ≤ 360 | ||
| @test maximum(φᶜᶜᵃ) ≤ 90 | ||
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| # The minimum latitude is not exactly the southermost latitude because the grid | ||
| # undulates slightly to maintain the same analytical description in the whole sphere | ||
| # (i.e. constant latitude lines do not exist anywhere in this grid) | ||
| @test minimum(φᶜᶜᶜ .+ min_Δφ / 10) ≥ grid.conformal_mapping.southernmost_latitude | ||
| end | ||
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| include("test_tripolar_grid.jl") | ||
| include("test_zipper_boundary_conditions.jl") | ||
|
|
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,75 @@ | ||
| include("dependencies_for_runtests.jl") | ||
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| using Statistics: dot, norm | ||
| using Oceananigans.Utils: getregion | ||
| using Oceananigans.ImmersedBoundaries: immersed_cell | ||
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| @kernel function compute_nonorthogonality_angle!(angle, grid, xF, yF, zF) | ||
| i, j = @index(Global, NTuple) | ||
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| @inbounds begin | ||
| x⁻ = xF[i, j] | ||
| y⁻ = yF[i, j] | ||
| z⁻ = zF[i, j] | ||
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| x⁺¹ = xF[i + 1, j] | ||
| y⁺¹ = yF[i + 1, j] | ||
| z⁺¹ = zF[i + 1, j] | ||
| x⁺² = xF[i, j + 1] | ||
| y⁺² = yF[i, j + 1] | ||
| z⁺² = zF[i, j + 1] | ||
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| v1 = (x⁺¹ - x⁻, y⁺¹ - y⁻, z⁺¹ - z⁻) | ||
| v2 = (x⁺² - x⁻, y⁺² - y⁻, z⁺² - z⁻) | ||
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| # Check orthogonality by computing the angle between the vectors | ||
| cosθ = dot(v1, v2) / (norm(v1) * norm(v2)) | ||
| immersed = immersed_cell(i, j, 1, grid) | ||
| angle[i, j] = ifelse(immersed, π / 2, acos(cosθ)) - π / 2 | ||
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| # convert to degrees | ||
| angle[i, j] = rad2deg(angle[i, j]) | ||
| end | ||
| end | ||
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| @testset "Orthogonality of family of ellipses and hyperbolae..." begin | ||
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| # Test the orthogonality of a tripolar grid based on the orthogonality of a | ||
| # cubed sphere of the same size (1ᵒ in latitude and longitude) | ||
| cubed_sphere_grid = ConformalCubedSphereGrid(panel_size = (90, 90, 1), z = (0, 1)) | ||
| cubed_sphere_panel = getregion(cubed_sphere_grid, 1) | ||
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| angle_cubed_sphere = zeros(size(cubed_sphere_panel)...) | ||
| cartesian_nodes, _ = get_cartesian_nodes_and_vertices(cubed_sphere_panel, Face(), Face(), Center()) | ||
| xF, yF, zF = cartesian_nodes | ||
| Nx, Ny, _ = size(cubed_sphere_panel) | ||
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| # Exclude the corners from the computation! (They are definitely not orthogonal) | ||
| params = KernelParameters(5:Nx-5, 5:Ny-5) | ||
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| launch!(CPU(), cubed_sphere_panel, params, compute_nonorthogonality_angle!, angle_cubed_sphere, cubed_sphere_panel, xF, yF, zF) | ||
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| first_pole_longitude = λ¹ₚ = 75 | ||
| north_poles_latitude = φₚ = 35 | ||
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| λ²ₚ = λ¹ₚ + 180 | ||
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| # Build a tripolar grid at 1ᵒ | ||
| underlying_grid = TripolarGrid(; size = (360, 180, 1), first_pole_longitude, north_poles_latitude) | ||
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| # We need a bottom height field that ``masks'' the singularities | ||
| bottom_height(λ, φ) = ((abs(λ - λ¹ₚ) < 5) & (abs(φₚ - φ) < 5)) | | ||
| ((abs(λ - λ²ₚ) < 5) & (abs(φₚ - φ) < 5)) | (φ < -78) ? 1 : 0 | ||
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| # Exclude the singularities from the computation! (They are definitely not orthogonal) | ||
| tripolar_grid = ImmersedBoundaryGrid(underlying_grid, GridFittedBottom(bottom_height)) | ||
| angle_tripolar = zeros(size(tripolar_grid)...) | ||
| cartesian_nodes, _ = get_cartesian_nodes_and_vertices(tripolar_grid.underlying_grid, Face(), Face(), Center()) | ||
| xF, yF, zF = cartesian_nodes | ||
| Nx, Ny, _ = size(tripolar_grid) | ||
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| launch!(CPU(), tripolar_grid, (Nx-1, Ny-1), compute_nonorthogonality_angle!, angle_tripolar, tripolar_grid, xF, yF, zF) | ||
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| @test maximum(angle_tripolar) < maximum(angle_cubed_sphere) | ||
| @test minimum(angle_tripolar) > minimum(angle_cubed_sphere) | ||
| end |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,43 @@ | ||
| include("dependencies_for_runtests.jl") | ||
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| using OrthogonalSphericalShellGrids: Zipper | ||
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| @testset "Zipper boundary conditions..." begin | ||
| grid = TripolarGrid(size = (10, 10, 1)) | ||
| Nx, Ny, _ = size(grid) | ||
| Hx, Hy, _ = halo_size(grid) | ||
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| c = CenterField(grid) | ||
| u = XFaceField(grid) | ||
| v = YFaceField(grid) | ||
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| @test c.boundary_conditions.north.classification isa Zipper | ||
| @test u.boundary_conditions.north.classification isa Zipper | ||
| @test v.boundary_conditions.north.classification isa Zipper | ||
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| @test c.boundary_conditions.north.condition == 1 | ||
| @test u.boundary_conditions.north.condition == -1 | ||
| @test v.boundary_conditions.north.condition == -1 | ||
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| set!(c, 1) | ||
| set!(u, 1) | ||
| set!(v, 1) | ||
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| fill_halo_regions!(c) | ||
| fill_halo_regions!(u) | ||
| fill_halo_regions!(v) | ||
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| north_boundary_c = view(c.data, :, Ny+1:Ny+Hy, 1) | ||
| north_boundary_v = view(v.data, :, Ny+1:Ny+Hy, 1) | ||
| @test all(north_boundary_c .== 1) | ||
| @test all(north_boundary_v .== -1) | ||
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| # U is special, because periodicity is hardcoded in the x-direction | ||
| north_interior_boundary_u = view(u.data, 2:Nx-1, Ny+1:Ny+Hy, 1) | ||
| @test all(north_interior_boundary_u .== -1) | ||
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| north_boundary_u_left = view(u.data, 1, Ny+1:Ny+Hy, 1) | ||
| north_boundary_u_right = view(u.data, Nx+1, Ny+1:Ny+Hy, 1) | ||
| @test all(north_boundary_u_left .== 1) | ||
| @test all(north_boundary_u_right .== 1) | ||
| end |