Relaxation scheme for a lattice-Boltzmann-type discrete velocity model and numerical Navier-Stokes limit
A discrete velocity model based on a lattice-Boltzmann approximation is considered in the low Mach number limit. A numerical scheme for this model working uniformly in the incompressible Navier-Stokes limit is constructed. The scheme is induced by the asymptotic analysis of the Navier-Stokes Limit and works uniformly for all ranges of mean free paths. In the limit the scheme reduces to an explicit finite difference scheme for the incompressible Navier-Stokes equation, the Chorin projection method with MAC grid. Numerical results are presented and the uniform convergence of the scheme is established numerically. (C) 1999 Academic Press.
discrete velocity models low mach number limit asymptotic analysis incompressible navier-stokes equations mac grid lattice-boltzmann method projection scheme numerical methods for stiff equations