HelmholtzDecomposition.jl

Helmholtz decomposition of 2D velocity fields into rotational and divergent components.

Overview

This package decomposes a horizontal velocity field (u, v) into:

Rotational (non-divergent): urot, vrot derived from stream function ψ
Divergent (irrotational): udiv, vdiv derived from velocity potential χ

by solving the Poisson equations ∇²ψ = ζ and ∇²χ = δ.

Installation

using Pkg
Pkg.add(url="https://github.com/jbphyswx/HelmholtzDecomposition.jl")

For spectral solver performance, also install one of:

Pkg.add("FFTW")                    # Cartesian periodic grids
Pkg.add("FastSphericalHarmonics")  # Regular spherical grids
Pkg.add(url="https://github.com/jbphyswx/NUFSHT.jl")  # Irregular spherical

Usage

See Examples for full worked examples, and Theory for mathematical background.