← the lab

Lattice Boltzmann: D2Q9 Fluid

Mesoscopic kinetic simulation — streaming and collision on a 2D lattice

slow fast

PARAMETERS

τ (relaxation):
ν (viscosity):
Steps: 0

D2Q9 Lattice Boltzmann propagates distribution functions f_i along 9 discrete velocities, then relaxes toward local equilibrium (BGK).

f_i → f_i + (f_i^eq − f_i)/τ. The macroscopic density ρ = Σf_i and velocity u = Σf_i·e_i/ρ emerge from the mesoscale.

Flow past a cylinder creates the famous Kármán vortex street at moderate Reynolds numbers — periodic, symmetric shedding.