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{
"cells": [
{
"cell_type": "markdown",
"id": "b3940ea4",
"metadata": {},
"source": [
"# Some notes on reduced associated Legendre transform\n",
"\n",
"## Background\n",
"- This issue on SpeedyWeather.jl project\n",
"https://github.com/milankl/SpeedyWeather.jl/issues/131\n",
"\n",
"- Problem: In spherical harmonics transform on reduced grids like Octahedral grid, how should we determin the largest zonal wavenumber `m` to retain for each latitude circle with `nlon` longitude points?\n",
"\n",
"- To avoid aliasing in purely zonal direction, it would seem that, given `nlon` point along a latitude circle, it should suffice to only use `m` up to `nlon/4`, `nlon/3` and `nlon/2` for cubic, quadratic and linear truncation, respectively.\n",
"\n",
"- However, in ECMWF's IFS, for cubic truncation, such largest `m` to be used is determined by a formula `nfreq = floor((nlon - 1)/(2 + coslat^2))) - 1`, which behaves like linear truncation (∼`nlon/2`) near the poles (where `coslat∼0`) but like quadratic truncation (∼`nlon/3`) at low latitudes (where `coslat∼1`), not like cubic truncation. \n",
"\n",
"- Why?\n",
"\n",
"- Another factor to consider, besides zonal aliasing, is the propertly of the assiciated Legendre function $P_n^m(\\sin\\rm{lat)}$.\n",
"\n",
"- At high latitudes, $\\max_{n\\geq m}P_n^m(\\sin\\rm{lat)}$ rapidly decays as m gets large.\n",
"- Given some threshold value ϵ (≪ 1), $\\max_{n\\geq m}P_n^m(\\sin\\rm{lat)}$ will be smaller than ϵ beyond some `m`.\n",
"- Then, it should be safe to ignore $P_n^m$ beyond such `m`. Let us denote such `m` as `m_to_retain(ϵ)`.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "5a829276",
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `~/work/speedy/SpeedyWeather.jl`\n"
]
}
],
"source": [
"using Plots; gr(fmt=:png);\n",
"\n",
"import Pkg\n",
"Pkg.activate(ENV[\"HOME\"]*\"/work/speedy/SpeedyWeather.jl\")\n",
"Pkg.instantiate()\n",
"import SpeedyWeather as sw"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c8470037",
"metadata": {},
"outputs": [],
"source": [
"npow=1\n",
"ntrunc=40*(2^npow)-1\n",
"\n",
"\n",
"P=sw.Parameters(NF=Float64,trunc=ntrunc,Grid=sw.OctahedralGaussianGrid)\n",
"S=sw.SpectralTransform(P);\n",
"Pnm_j=S.Λs; # Pnm_j[j] is a Matrix containing Pnm at latitude index j."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "94db6556",
"metadata": {},
"outputs": [
{
"data": {
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"
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ignore_below_epsilon(x) = x > eps(typeof(x)) ? x : zero(x)\n",
"\n",
"plots=[]\n",
"for j in 1:(S.nlat_half÷16):S.nlat_half\n",
" _plot=heatmap( @. log10(ignore_below_epsilon(abs(Pnm_j[j]))) )\n",
" plot!(title=\"lat=$(floor(Int,90-S.colat[j]*180/π))°N\")\n",
" push!(plots, _plot)\n",
"end\n",
"plot(plots...)"
]
},
{
"cell_type": "markdown",
"id": "5c915763",
"metadata": {},
"source": [
"- The figure above shows $|P_n^m(\\sin\\rm{lat)}|$ at different latitudes (from north to south) in log scale in $(m,n)$ plane (m: horizontal axis, n: vertical axis), for truncation Nmax=79. \n",
"- Areas where $|P_n^m(\\sin\\rm{lat)}|$ is below Float64 machine precision (∼ 1e-16) are shown in blank.\n",
"- Clearly, the largest $m$ for which $|P_n^m(\\sin\\rm{lat)}|$ exceeds the machine precision for some $n\\geq m$ (=`m_to_retain`) decreases as lat gets closer to the pole.\n",
"\n",
"- Now, let us take the threshold value ϵ as 1e-6, and compare `m_to_retain(ϵ)` with various rules to define the largest `m` to use."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "48e1b6b4",
"metadata": {},
"outputs": [],
"source": [
"ϵ_threshold = 1e-6\n",
"m_to_retain=zeros(Int, S.nlat_half)\n",
"\n",
"for j in 1:S.nlat_half\n",
" for m in S.mmax:-1:0\n",
" if abs(Pnm_j[j][S.lmax,m]) > ϵ_threshold\n",
" m_to_retain[j]=m\n",
" break\n",
" end\n",
" end\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "b21f5829",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lat=@. 90-(180/π)*S.colat[1:S.nlat_half]\n",
"cos²lat=@. cos(lat*π/180)^2\n",
"\n",
"nlon_oct=[16+4j for j in 1:S.nlat_half]\n",
"m_linear=[min(nlon_oct[j]÷2, ntrunc) for j in 1:S.nlat_half]\n",
"m_quadratic=[min(nlon_oct[j]÷3, ntrunc) for j in 1:S.nlat_half]\n",
"m_cubic=[min(nlon_oct[j]÷4, ntrunc) for j in 1:S.nlat_half]\n",
"m_ifs=[ min(floor((nlon_oct[j] - 1)/(2 + cos²lat[j])) - 1,ntrunc) for j in 1:S.nlat_half ]\n",
"\n",
"plot(m_to_retain, lat, label=\"m_to_retain (ϵ=$ϵ_threshold)\")\n",
"plot!(m_linear, lat, label=\"linear\")\n",
"plot!(m_quadratic, lat, label=\"quadratic\")\n",
"plot!(m_cubic, lat, label=\"cubic\")\n",
"plot!(m_ifs, lat, label=\"IFS\")\n",
"\n",
"plot!(xaxis=\"m\", yaxis=\"lat (degree)\",legend=:bottomleft)\n",
"plot!(title=\"ntrunc=$ntrunc\")\n",
"savefig(\"m_truncation_comparison_ntrunc$(ntrunc).png\")\n",
"plot!()"
]
},
{
"cell_type": "markdown",
"id": "ccf5cef3",
"metadata": {},
"source": [
"- We can see that the IFS rule is a good approximation to `m_to_retain(ϵ)` with ϵ=1e-6.\n",
"- Experimenting a bit, I found that `m_to_retain(ϵ)` is rather insensitive to the exact choice of ϵ.\n",
"- Note that, to determine `m_to_retain(ϵ)`, we need detailed knowledge of $P_n^m(\\rm{lat})$, while the IFS rule only requires cos²(lat)."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.8.0",
"language": "julia",
"name": "julia-1.8"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.8.0"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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