Cole-Hopf Transformation Based Lattice Boltzmann Model for One-dimensional Burgers' Equation

被引：0
|
作者：
亓晓同 [1 ,2 ]
施保昌 [1 ,2 ]
柴振华 [1 ,2 ]
机构：
[1] School of Mathematics and Statistics,Huazhong University of Science and Technology
[2] Hubei Key Laboratory of Engineering Modeling and Scientific Computing,Huazhong University of Science and Technology
来源：
Communications in Theoretical Physics | 2018年 / 69卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Burgers; equation; Cole-Hopf transformation; lattice Boltzmann model;
D O I：
暂无
中图分类号：
O175.2 [偏微分方程];
学科分类号：
070104 ;
摘要：
In this paper,we present a Cole-Hopf transformation based lattice Boltzmann(LB) model for solving one-dimensional Burgers’ equation,and compared to available LB models,the effect of nonlinear convection term can be eliminated.Through Chapman-Enskog analysis,it can be found that the converted diffusion equation based on the Cole-Hopf transformation can be recovered correctly from present LB model.Some numerical tests are also performed to validate the present LB model,and the numerical results show that,similar to previous LB models,the present model also has a second-order convergence rate in space,but it is more accurate than the previous ones.
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页码：329 / 335
页数：7
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