JuliaApproximation / JuliaApproximation/FastTransforms.jl

Are vector spherical harmonic transforms available?

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Dominant language
Julia
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Description

I have a beginner question: I would like to compute some vector spherical harmonic transforms, specifically I want to be able to compute vorticity and divergence from eastward and northward vector components, and also the reverse. I am new to Julia, but in Python I have been using shtns and there I would use their 2-argument forms of SH analysis and synthesis with some scaling (just like the getuv and getvrtdiv methods in their shallow_water.py example).

I am having trouble understanding how (or if) this is possible in FastTransforms.jl, can you offer any advice? I've seen the plan_sphv* functions but I am not well enough versed in the topic to understand what these do (i.e. they operate on a single field, not a pair). Thanks!

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Research direction

Start by reading the plan_sphv* functions in FastTransforms.jl and compare their single-field operations with the getuv and getvrtdiv methods in the linked shallow_water.py example. Determine whether the requested forward and reverse vector transforms are supported; done means providing a clear mapping or documenting that the capability is unavailable.

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Assessment

Tech stack
julia, python
Domain
tooling
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
20/100

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