A lattice Bhatnagar-Gross-Krook model for a class of the generalized Burgers equations

被引：14

作者：

Yu Xiao-Mei ^{[1
]}

Shi Bao-Chang ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

来源：

CHINESE PHYSICS | 2006年 / 15卷 / 07期

关键词：

LBGK model; a class of generalized Burgers equation; stability; simulation;

D O I：

10.1088/1009-1963/15/7/010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new lattice Bhatnagar-Gross-Krook (LBGK) model for a class of the generalized Burgers equations is proposed. It is a general LBGK model for nonlinear Burgers equations with source term in arbitrary dimensional space. The linear stability of the model is also studied. The model is numerically tested for three problems in different dimensional space, and the numerical results are compared with either analytic solutions or numerical results obtained by other methods. Satisfactory results are obtained by the numerical simulations.

引用

页码：1441 / 1449

页数：9

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