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Show HN: The equation for smoke vortices also describes 100M° fusion plasma
(github.com)
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3 points
by lulzx
185 days ago
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Ported VPFM (vortex particle flow maps) from graphics to tokamak edge turbulence. The math is identical: potential vorticity conservation. Particles carry vorticity, grid does the FFT Poisson solve, B-splines shuffle data between them. The trick is tracking how the flow map deforms (Jacobian evolution via RK4) and reinitializing before it blows up. Why bother: grid methods smear turbulent structures. Lagrangian particles don't. Fusion people care because the scrape-off layer is where reactors fail. Turbulent blobs hit the walls. Matches Arakawa finite-differences on energy/enstrophy conservation. Zonal flows emerge without forcing. Linear dispersion validates against theory. |
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