INITIAL AND BOUNDARY-CONDITIONS FOR THE LATTICE BOLTZMANN METHOD

被引:263
|
作者
SKORDOS, PA [1 ]
机构
[1] MIT,CAMBRIDGE,MA 02139
来源
PHYSICAL REVIEW E | 1993年 / 48卷 / 06期
关键词
D O I
10.1103/PhysRevE.48.4823
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
An alternative approach of implementing initial and boundary conditions for the lattice Boltzmann method is presented. The basic idea is to calculate the lattice Boltzmann populations at a boundary node from the fluid variables that are specified at this node using the gradients of the fluid velocity. The numerical performance of the lattice Boltzmann method is tested on several problems with exact solutions and is also compared to an explicit finite-difference projection method. The discretization error of the lattice Boltzmann method decreases quadratically with finer resolution both in space and in time. The roundoff error of the lattice Boltzmann method creates problems unless double-precision arithmetic is used.
引用
收藏
页码:4823 / 4842
页数:20
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