Name
Title | ||
|---|---|---|
Lattice-Boltzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations |
Abstract | ||
|---|---|---|
A relaxation system based on a Lattice-Boltzmann type discrete velocity model is considered in the low Mach number limit. A third order relaxation scheme is developed working uniformly for all ranges of the mean free path and Mach number. In the incompressible Navier-Stokes limit the scheme reduces to an explicit high order finite difference scheme for the incompressible Navier-Stokes equations based on nonoscillatory upwind discretization. Numerical results and comparisons with other approaches are presented for several test cases in one and two space dimensions. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1090/S0025-5718-07-02034-0 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Lattice-Boltzmann method,relaxation schemes,low Mach number limit,incompressible Navier-Stokes equations,high order upwind schemes,Runge-Kutta methods,stiff equations | Runge–Kutta methods,Discretization,Mathematical analysis,Relaxation (iterative method),Lattice Boltzmann methods,Finite difference method,Numerical analysis,Mach number,Mathematics,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
77 | 262 | 0025-5718 |
Citations | PageRank | References |
2 | 0.44 | 6 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mapundi K. Banda | 1 | 93 | 21.08 |
| Axel Klar | 2 | 279 | 87.41 |
| Lorenzo Pareschi | 3 | 421 | 64.78 |
| Mohammed Seaïd | 4 | 54 | 16.35 |