Lattice Boltzmann: Poiseuille Flow D2Q9

D2Q9 lattice Boltzmann method solves Navier-Stokes via mesoscopic collision-streaming: f_i(x+e_i,t+1) = f_i(x,t) + (f_i^eq − f_i)/τ. Watch Poiseuille flow develop its characteristic parabolic velocity profile.

Viscosity τ = 0.60

Body force F = 0.0001

Geometry:

Color map:

f_i' = f_i + Ω_i
Ω_i = −(f_i−f_i^eq)/τ
ν = (τ−½)/3
Re = ρ₀uH/ν

Nu (viscosity): —
Re (Reynolds): —
Max speed: —
Step: 0