🌊 RAYLEIGH-BÉNARD CONVECTION

Rayleigh number Ra: 2000 Prandtl number Pr: 1.0 Perturbation strength: 0.1 Grid resolution: 64
Ra_c ≈ 1708 (onset of convection)
Red=hot (bottom), Blue=cold (top)
Arrows show velocity field
Rayleigh-Bénard instability (1900/1916): heated from below, fluid forms convection rolls when Ra > Ra_c ≈ 1708. Onset: σ = 0 at critical wavenumber k_c ≈ 3.117.