Discretizations for the incompressible Navier-Stokes equations based on the lattice Boltzmann method

被引：49
|
作者：
Junk, M [1 ]
Klar, A
机构：
[1] Univ Kaiserslautern, Fachbereich Math, D-67663 Kaiserslautern, Germany
[2] Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2000年 / 22卷 / 01期
关键词：
discrete velocity models; lattice Boltzmann method; low Mach number limit; incompressible Navier-Stokes equations; Chorin's projection scheme; finite difference method; relaxation systems;
D O I：
10.1137/S1064827599357188
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A discrete velocity model with spatial and velocity discretization based on a lattice Boltzmann method is considered in the low Mach number limit. A uniform numerical scheme for this model is investigated. In the limit, the scheme reduces to a finite difference scheme for the incompressible Navier-Stokes equation, which is a projection method with a second order spatial discretization on a regular grid. The discretization is analyzed and the method is compared to Chorin's original spatial discretization. Numerical results supporting the analytical statements are presented.
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页码：1 / 19
页数：19
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