复Ginzburg-Landau方程的格子Boltzmann模型分析解

Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (06): 1339-1344.

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Analysis Solution of Lattice Boltzmann Model for Complex GinzburgLandau Equation

ZHANG Jianying¹, YAN Guangwu², LI Ting^2,3

1. School of Mathematics and Statistics, Changchun University of Technology, Changchun 130012, China;2. College of Mathematics, Jilin University, Changchun 130012, China;3. School of Science, Jilin University of Chemical Technology, Jilin 132022, Jilin Province, China

Received:2019-03-26 Online:2019-11-26 Published:2019-11-21
Contact: YAN Guangwu E-mail:yangw_jlu@126.com

Abstract

Abstract: 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.

Key words: lattice Boltzmann model, complex GinzburgLandau equation, analysis solution

CLC Number:

O354

ZHANG Jianying, YAN Guangwu, LI Ting. Analysis Solution of Lattice Boltzmann Model for Complex GinzburgLandau Equation[J].Journal of Jilin University Science Edition, 2019, 57(06): 1339-1344.

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Analysis Solution of Lattice Boltzmann Model for Complex GinzburgLandau Equation

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