复Ginzburg-Landau方程的格子Boltzmann模型分析解  

Analysis Solution of Lattice Boltzmann Model for Complex Ginzburg-Landau Equation

作　　者：张建影 闫广武[2] 李婷 ZHANG Jianying;YAN Guangwu;LI Ting(School of Mathematics and Statistics,Changchun University of Technology,Changchun 130012,China;College of Mathematics,Jilin University,Changchun 130012,China;School of Science,Jilin University of Chemical Technology,Jilin 132022,Jilin Province,China)

机构地区：[1]长春工业大学数学与统计学院,长春130012 [2]吉林大学数学学院,长春130012 [3]吉林化工学院理学院,吉林吉林132022

出　　处：《吉林大学学报（理学版）》2019年第6期1339-1344,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11602033;11272133)

摘　　要：利用格子Boltzmann模型中的Chapman分析方法,给出系列偏微分方程以及Chapman多项式的一般形式,通过求解复Ginzburg-Landau方程的平衡态分布函数,给出不同时间尺度上分布函数的表达式,进而得到复Ginzburg-Landau方程的格子Boltzmann分析解.By using the method of Chapman analysis in the lattice Boltzmann model,we gave the general forms of a series of partial differential equations and Chapman polynomials.By solving the equilibrium distribution functions for complex Ginzburg-Landau equation,we gave the expressions of distribution functions on different time scales,and then obtained analysis solutions of the lattice Boltzmann for complex Ginzburg-Landau equation.

关 键 词：格子BOLTZMANN模型 复GINZBURG-LANDAU方程 分析解 

分 类 号：O354[理学—流体力学]