Use of lattice Boltzmann method to simulate 2-D partial differential equation

被引：4
|
作者：
He Yu-Bo [1 ]
Lin Xiao-Yan [1 ]
Dong Xiao-Liang [2 ]
机构：
[1] Huaihua Univ, Dept Math, Huaihua 418008, Peoples R China
[2] North Univ Ethn, Sch Informat & Computat Sci, Yinchuan 750021, Peoples R China
来源：
ACTA PHYSICA SINICA | 2013年 / 62卷 / 19期
关键词：
two-dimensional nonlinear partial differential equation; lattice Boltzmann method; Chapman-Enskog multi-scale expansion; TRAVELING-WAVE SOLUTIONS; EVOLUTION;
D O I：
10.7498/aps.62.194701
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
For a class of two-dimensional nonlinear partial differential equation with the source term,a simple lattice Boltzmann model with amending function is proposed and studied using the Chapman-Enskog expansion technique and multiple-scale analysis. In this paper, some partial differential equation are simulated, the numerical results and exact solutions are shown to be almost completely fitting with each other. The lattice Boltzmann method is further extended to two-dimensional partial differential equation.
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页数：7
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