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Replace interpolation op with generalised spacevaryingutility tools. Update orographic gravity wave file to use new artifact. Downsample raw data for use in parameterization (raw size 21600x10800 is too large). Bump ref counter and update news Co-authored-by: Gabriele Bozzola <[email protected]>
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,144 @@ | ||
| using LazyArtifacts | ||
| using ClimaAtmos.AtmosArtifacts | ||
| import ClimaAtmos as CA | ||
| import ClimaCore as CC | ||
| import ClimaComms | ||
| import ClimaParams as CP | ||
| import ClimaCore.Quadratures | ||
| using ClimaUtilities: SpaceVaryingInputs | ||
| using ClimaCore.Hypsography: diffuse_surface_elevation! | ||
| using ClimaCore: Remapping, Geometry, Operators, Spaces | ||
| using CairoMakie | ||
|
|
||
| import ClimaCoreSpectra: power_spectrum_2d | ||
|
|
||
| const AA = AtmosArtifacts | ||
|
|
||
|
|
||
| function mask(x::FT) where {FT} | ||
| return x * FT(x > 0) | ||
| end | ||
|
|
||
| """ | ||
| generate_spaces(; h_elem=16) | ||
| For a given number of elements `h_elem`, this function generates a | ||
| horizontal spectral space (ClimaCore.SpectralElementSpace2D) and | ||
| generates an interpolated (using SpaceVaryingInputs) orography field | ||
| on this space. The `diffuse_surface_elevation` function is called | ||
| to apply Laplacian diffusion (canonical diffusion equation) passes, | ||
| with a timescale defined by the attenuation required at the smallest | ||
| resolved lengthscale. | ||
| Returns a `Field` containing surface orography. | ||
| """ | ||
| function generate_spaces(; | ||
| h_elem = 16, | ||
| n_attenuation = 1000, | ||
| planet_radius = 6.378e6, | ||
| ) | ||
| FT = Float32 | ||
| cubed_sphere_mesh = | ||
| CA.cubed_sphere_mesh(; radius = FT(planet_radius), h_elem) | ||
| quad = Quadratures.GLL{4}() | ||
| comms_ctx = ClimaComms.context() | ||
| h_space = CA.make_horizontal_space(cubed_sphere_mesh, quad, comms_ctx, true) | ||
| Δh_scale = Spaces.node_horizontal_length_scale(h_space) | ||
| @assert h_space isa CC.Spaces.SpectralElementSpace2D | ||
| coords = CC.Fields.coordinate_field(h_space) | ||
| target_field = CC.Fields.zeros(h_space) | ||
| elev_from_file = SpaceVaryingInputs.SpaceVaryingInput( | ||
| AA.earth_orography_file_path(; context = comms_ctx), | ||
| "z", | ||
| h_space, | ||
| ) | ||
| elev_from_file = @. mask(elev_from_file) | ||
| # Fractional damping of smallest resolved scale | ||
| # Approximated as k₀ ≈ 1/Δx, with n_attenuation | ||
| # the factor by which we wish to damp wavenumber | ||
| # k₀. Assume dt == 1 for this example. | ||
| diff_courant = FT(0.05) | ||
| κ = diff_courant * Δh_scale^2 | ||
| maxiter = Int(round(log(n_attenuation) / diff_courant)) | ||
| diffuse_surface_elevation!(elev_from_file; κ, dt = FT(1), maxiter) | ||
| elev_from_file = @. mask(elev_from_file) | ||
| return elev_from_file | ||
| end | ||
|
|
||
| """ | ||
| remap_to_array(test_var, hcoords) | ||
| Given an Array of `hcoords`, this function remaps a ClimaCore | ||
| Field `test_var` onto `hcoords`. | ||
| Returns an `Array` containing the values which make up `test_var`. | ||
| """ | ||
| function remap_to_array(test_var, hcoords) | ||
| remapper = Remapping.Remapper(axes(test_var), hcoords) | ||
| orog = Array(Remapping.interpolate(remapper, test_var)) | ||
| end | ||
|
|
||
| """ | ||
| gen_spectra(test_var) | ||
| Given a Field `test_var`, this function first calls `remap_to_array` | ||
| to remap this spectral element field onto a latitude-longitude | ||
| grid, and computes the spectra. | ||
| Returns (`w_numbers`, `power_spectrum`) which contain the spherical | ||
| wavenumbers and the spectral energy corresponding to this array | ||
| of `w_numbers`. | ||
| """ | ||
| function gen_spectra(test_var) | ||
| FT = eltype(test_var) | ||
| Δh_scale = Spaces.node_horizontal_length_scale(Spaces.axes(test_var)) | ||
| planet_radius = FT(6.378e6) | ||
| npts = Int(round(2π * planet_radius / Δh_scale)) | ||
| npts = ifelse(rem(npts, 2) == 0, npts, npts + 1) | ||
| longpts = range(FT(-180), FT(180.0), Int(npts)) | ||
| latpts = range(FT(-90), FT(90), Int(npts // 2)) | ||
| hcoords = | ||
| [Geometry.LatLongPoint(lat, long) for long in longpts, lat in latpts] | ||
| test_var = remap_to_array(test_var, hcoords) | ||
| # Use ClimaCoreSpectra to generate power spectra for orography data. | ||
| len1 = size(test_var)[1] | ||
| len2 = size(test_var)[2] | ||
| @assert len1 == 2len2 | ||
| mass_weight = FT(1) # No weighting applied | ||
| spectrum_data, wave_numbers, _spherical, mesh_info = | ||
| power_spectrum_2d(FT, test_var, mass_weight) | ||
| power_spectrum = | ||
| dropdims(sum(spectrum_data, dims = 1), dims = 1)[begin:(end - 1), :] | ||
| w_numbers = collect(0:1:(mesh_info.num_spherical - 1)) | ||
| @info "Returning wavenumber array (spherical) and orography power spectrum" | ||
| return w_numbers, power_spectrum | ||
| end | ||
|
|
||
| """ | ||
| generate_all_spectra(;h_elem=16) | ||
| Uses the spectral calculator and space generation tools in this example file | ||
| to generate a series of surface orography fields with different extents of | ||
| Laplacian smoothing. | ||
| Returns a `CairoMakie.Figure`. | ||
| """ | ||
| function generate_all_spectra(; h_elem = 16) | ||
| fig = Figure(; size = (1200, 900)) | ||
| ax1 = Axis( | ||
| fig[1, 1], | ||
| xlabel = "spherical wavenumber", | ||
| ylabel = "elevation spectra", | ||
| title = "Surface elevation spectra", | ||
| xticks = [2, 4, 8, 16, 32, 64, 128, 256], | ||
| yticks = [10^-1, 10^0, 10^1, 10^2, 10^3, 10^4], | ||
| xscale = log10, | ||
| yscale = log10, | ||
| xgridvisible = true, | ||
| ygridvisible = false, | ||
| ) | ||
| for ii in (1, 2, 4, 8, 16, 32, 64, 128, 256, 512) | ||
| n_attenuation = ii | ||
| test_var = generate_spaces(; h_elem, n_attenuation) | ||
| Δh_scale = Spaces.node_horizontal_length_scale(Spaces.axes(test_var)) | ||
| diff_courant = 0.05 # Arbitrary example value. | ||
| κ = diff_courant * Δh_scale^2 | ||
| maxiter = Int(round(log(n_attenuation) / diff_courant)) | ||
| sph_wn, psd = gen_spectra(test_var) | ||
| scatterlines!(sph_wn[2:end], psd[2:end], label = "iter = $(maxiter)") | ||
| end | ||
| CairoMakie.Legend(fig[1, 2], ax1) | ||
| return fig | ||
| end |
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