✦ LIBER ✦
Relaxation Scheme for a Lattice–Boltzmann-type Discrete Velocity Model and Numerical Navier–Stokes Limit
✍ Scribed by Axel Klar
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 238 KB
- Volume
- 148
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
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.