新的格子Bhatnagar-Gross-Krook模型求解修正的Burgers方程  

A New Lattice Bhatnagar-Gross-Krook Model for the Modified Burgers' Equation

作　　者：高云[1] 乐励华[1] 

机构地区：[1]东华理工大学数学与信息科学学院,江西抚州344000

出　　处：《东华理工大学学报（自然科学版）》2012年第1期89-93,共5页Journal of East China University of Technology(Natural Science)

摘　　要：随着计算机技术的发展,数值模拟方法求解偏微分方程得到越来越广泛的应用。格子Boltzmann方法是一种新型的模拟方法,由于该方法具有计算效率高、边界条件容易处理、完全并行性等独特的优点,使得它具有广泛的应用领域。利用格子Bhatnagar-Gross-Krook模型来求解修正的Burgers方程,首先用该方法正确的恢复了宏观方程,然后数值模拟了两个具有解析解的修正Burgers方程。把模拟解与解析解进行对比,发现数值解与解析解和前人研究中的数值解都吻合很好。The methods of numerical simulation are applied widely with the development of computer technology.The lattice Boltzmann method has a more wide application owing to its high computing efficiency,easier processed boundary conditions,and parallel computation.In this study,the Bhatnagar-Gross-Krook model is used to solve the modified Burgers＇ equation.First,the macroscopic equation is recovered with this model.Then,the two modified Burgers＇ equations with analytical solutions are numerical simulated.Results show numerical simulation and analytical solutions match well with numerical simulation of previous publication.

关 键 词：格子BGK模型 修正的burgers方程 数值解 

分 类 号：O24[理学—计算数学]