The multidimensional-flux module (multid_flux.py)

Carries Pillar IV's flux-carrying test into 2D Navier–Stokes (ledger row IV/2D). A filamented vorticity snapshot is filtered at scale ℓ (Germano); the local inter-scale enstrophy flux Π=-σ_j∂_jω (subfilter vorticity flux σ_j=u_jω-u_jω) is compared with the palinstrophy density |∇ω|².

)} Carries Pillar IV's flux-carrying test into 2D Navier–Stokes (ledger row IV/2D). A filamented vorticity snapshot is filtered at scale ℓ (Germano); the local inter-scale enstrophy flux Π=-σ_j∂_jω (subfilter vorticity flux σ_j=u_jω-u_jω) is compared with the palinstrophy density |∇ω|².

)} Carries Pillar IV's flux-carrying test into 2D Navier–Stokes (ledger row IV/2D). A filamented vorticity snapshot is filtered at scale $\ell$ (Germano); the local inter-scale enstrophy flux $\Pi=-\sigma_j\partial_j\bar\omega$ (subfilter vorticity flux $\sigma_j=\overline{u_j\omega}-\bar u_j\bar\omega$ ) is compared with the palinstrophy density $|\nabla\bar\omega|^2$ . The top $20\%$ most intense vorticity-gradient regions (the events) carry $\approx60\%$ of the forward enstrophy flux, $\approx12$ – $16\%$ of the area carries half of it, and the flux correlates with the dissipation density ( $\approx0.28$ ); all stable across N=192,256,320 . This narrows the gate to the high-Reynolds asymptotic limit. Full source is shipped as multid_flux.py.