Convergence of lattice Boltzmann methods for Navier-Stokes flows in periodic and bounded domains

被引：38
|
作者：
Junk, Michael [1 ]
Yang, Zhaoxia [1 ]
机构：
[1] Univ Konstanz, FB Math & Stat, D-78457 Constance, Germany
来源：
NUMERISCHE MATHEMATIK | 2009年 / 112卷 / 01期
关键词：
ASYMPTOTIC ANALYSIS; EQUATION; STABILITY;
D O I：
10.1007/s00211-008-0196-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Combining an asymptotic analysis of the lattice Boltzmann method with a stability estimate, we are able to prove some convergence results which establish a strict relation to the incompressible Navier-Stokes equation. The proof applies to the lattice Boltzmann method in the case of periodic domains and for specific bounded domains if the Dirichlet boundary condition is realized with the bounce back rule.
引用
收藏
页码：65 / 87
页数：23
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