Numerical solutions of two-dimensional Burgers' equations by lattice Boltzmann method

被引：28
|
作者：
Liu, Fang [1 ]
Shi, Weiping [1 ]
机构：
[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 01期
关键词：
Burgers' equations; Lattice Bhatnagar-Gross-Krook model; Reynolds number; Irregular curved domain; PARTICULATE SUSPENSIONS; EXTRAPOLATION METHOD; BOUNDARY-CONDITIONS; SIMULATIONS;
D O I：
10.1016/j.cnsns.2010.02.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the two-dimensional Burgers' equations with two variables are solved numerically by the lattice Boltzmann method. The lattice Bhatnagar-Gross-Krook model we used can recover the macroscopic equation with the second order accuracy. Numerical solutions for various values of Reynolds number, computational domain, initial and boundary conditions are calculated and validated against exact solutions or other published results. It is concluded that the proposed method performs well. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：150 / 157
页数：8
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