求解R?ssler方程的格子Runge-Kutta-Boltzmann算法  

Lattice Runge-Kutta-Boltzmann Algorithm for Solving R?ssler Equations

作　　者：闫铂[1,2] 王建朝 闫广武 YAN Bo WANG Jianchao YAN Guangwu(College of Civil Engineering, Jilin Jianzhu University, Changchun 130118, China Jilin Structure and Earthquake Resistance Technology Innovation Center, Changchun 130118, China College of Mathematics, Jilin University, Changchun 130012, China)

机构地区：[1]吉林建筑大学土木工程学院,长春130118 [2]吉林省结构与抗震科技创新中心,长春130118 [3]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2017年第5期1123-1128,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:51406067;11272133);吉林省教育厅科研项目(批准号:吉教科合字[2016]第141号)

摘　　要：提出一种求解R?ssler方程的格子Runge-Kutta-Boltzmann算法.先使用经典RungeKutta公式构建格子Boltzmann模型,得到了高阶截断误差;再通过Chapmann-Enskog展开和多尺度展开技术,获得了不同时间尺度的系列偏微分方程和修正R?ssler方程.数值结果表明,所得模型可用于求解R?ssler方程.We proposed a lattice Runge-Kutta-Boltzmann algorithm for solving the Rossler equations.First,the classical Runge-Kutta formula was used to construct the lattice Boltzmann model,and we obtained higher-order truncation error.By using the Chapman-Enskog expansion and multi-scale expansion technique,we obtained a series of partial differential equations in different time scales and modified Rossler equations.The numerical results show that the obtained model can be used to solve the Rossler equations.

关 键 词：格子BOLTZMANN模型 Runge-Kutta公式 Rossler方程 

分 类 号：O351.2[理学—流体力学]