Lattice Boltzmann

A kinetic route to the Navier-Stokes equations. Instead of discretizing the equations of fluid motion, the D2Q9 lattice Boltzmann method moves populations of fictitious particles along nine lattice directions and relaxes them toward a local equilibrium. The viscosity is set entirely by the relaxation time, \(\nu = c_s^2(\tau - 1/2)\). Here it reproduces Poiseuille’s parabola and sheds a vortex street behind a cylinder.

The lattice Boltzmann method: Navier-Stokes from colliding populations

The lattice Boltzmann method: Navier-Stokes from colliding populations