Lattice Boltzmann method at finite-Knudsen numbers
arXiv:nlin/0411058 · doi:10.1209/epl/i2004-10393-0
Abstract
A modified lattice Boltzmann model with a stochastic relaxation mechanism mimicking "virtual'' collisions between free-streaming particles and solid walls is introduced. This modified scheme permits to compute plane channel flows in satisfactory agreement with analytical results over a broad spectrum of Knudsen numbers, ranging from the hydrodynamic regime, all the way to quasi-free flow regimes up to Kn 30.
4 pages, 4 figures