变系数Wave-Like方程的格子Boltzmann模型  

Lattice Boltzmann Model for the Wave-Like Equation with Variable Coefficients

作　　者：史秀波[1] 闫广武[2] 

机构地区：[1]桂林理工大学理学院,广西桂林541004 [2]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2013年第4期585-590,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11161015);桂林理工大学博士科研启动基金(批准号:GUT2011008);广西空间信息与测绘重点实验室资助项目(批准号:桂科能1103108-08)

摘　　要：用格子Boltzmann方法研究变系数wave-like方程,构建了变系数wave-like方程的格子Boltzmann模型.先运用该模型对二维和三维wave-like问题进行数值模拟,再将格子Boltzmann数值解与其解析结果进行比较.结果表明,该方法可以用于模拟变系数wave-like问题.We used the lattice Boltzmann method to study the wave-like equation with variable coefficients.We constructed a lattice Boltzmann model for the wave-like equation with variable coefficients.By using this model,the two-and three-dimensional wave-like equation with variable coefficients are simulated.By comparison between these results and analytic solutions,we find that this method can be used to simulate wave-like problems with variable coefficients.

关 键 词：格子BOLTZMANN模型 变系数wave-like方程 高阶矩方法 

分 类 号：O242.1[理学—计算数学]