一类三阶变系数偏微分方程的格子Boltzmann模型  

Lattice Boltzmann Model for a Class of Third Order PartialDifferential Equations with Variable Coefficients

作　　者：武芳芳[1] 王可心 WU Fangfang;WANG Kexin(School of Science,Shenyang University of Technology,Shenyang 110870,China)

机构地区：[1]沈阳工业大学理学院,沈阳110870

出　　处：《吉林大学学报（理学版）》2021年第4期763-768,共6页Journal of Jilin University:Science Edition

基　　金：辽宁省科学技术计划项目(批准号:2019ZD0209);辽宁省科技厅博士启动基金(批准号:20170520014).

摘　　要：用格子Boltzmann方法求解一类具有变系数和源项的三阶偏微分方程.利用Chapman-Enskog展开技术,通过选取适当的平衡态分布函数和补偿函数,恢复出具有三阶精度的宏观方程.数值模拟结果验证了该模型的有效性.The lattice Boltzmann model was used to solve a class of third order partial differential equations with variable coefficients and source terms.By using Chapman-Enskog expansion technology,the macroscopic equation with the third order accuracy was recovered by selecting appropriate equilibrium distribution function and compensation function.Numerical simulation results verify the effectiveness of the proposed model.

关 键 词：格子BOLTZMANN方法 Chapman-Enskog展开 变系数 三阶偏微分方程 

分 类 号：O241.82[理学—计算数学]