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.
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.
作者
亓晓同
施保昌
柴振华
Xiao-Tong Qi 1,2, Bao-Chang Shi 1,2 ,Zhen-Hua Chai 1,2(1 School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China; 2Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, Chin)
基金
Supported by the National Natural Science Foundation of China under Grant No.51576079
