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🌊 Kelvin-Helmholtz Instability

Two fluid layers moving in opposite directions. The interface rolls up into characteristic billows β€” seen in clouds, the ocean, Jupiter's bands, and solar corona.

πŸŽ› Parameters

πŸ“ Diagnostics

Growth rate Οƒ
β€”
Richardson Ri
β€”
Amplitude A
β€”
Billows
0

ℹ️ Physics

The Kelvin-Helmholtz instability occurs at the interface of two fluids with a relative velocity. Pressure variations across the boundary amplify perturbations. Growth rate: Οƒ = kΒ·Ξ”v/2 (equal densities). Gravity stabilises via the Richardson number Ri = g·Δρ·L / (ρ·ΔvΒ²). Instability requires Ri < 0.25. The simulation uses N=80 vortex points on the interface with Biot-Savart interactions and Krasny regularisation (Ξ΄=0.3) to prevent singularities.

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