Numerical solution of Burgers' equation by lattice Boltzmann method

被引：15

作者：

Gao, Yun ^{[1
]}

Le, Li-Hua ^{[1
]}

Shi, Bao-Chang ^{[2
]}

机构：

[1] E China Inst Technol, Sch Math & Informat Sci, Fuzhou 344000, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 14期

关键词：

Lattice Boltzmann method; Burgers' equation; Numerical solution; Chapman-Enskog expansion; GALERKIN METHODS; CONVECTION; MODEL; SCHEME;

D O I：

10.1016/j.amc.2013.01.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a lattice Boltzmann model for Burgers' equation is proposed through selecting equilibrium distribution function properly. The model has been verified by three test examples. The numerical results are found in good agreement with analytical solutions and numerical solutions reported in previous studies. The advantages of the resulting method are algorithmic simplicity, parallel computation, easy handling of complicated boundary conditions, so it is very easy to implement and deal with more complex problems. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：7685 / 7692

页数：8

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