Rayleigh-Bénard Convection: Thermal Plumes

When a fluid layer is heated from below and cooled from above, buoyancy drives instability — hot plumes rise while cold fingers sink. Above a critical Rayleigh number Ra = gαΔTd³/νκ, ordered convection rolls give way to turbulent plume dynamics that transport heat far more efficiently than conduction alone.

Hot (rising) Cold (sinking) — drag to add heat source
Rayleigh ×10⁴: 5
Viscosity: 0.8
Simulating 2D Boussinesq approximation with lattice Boltzmann–inspired thermal advection