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

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.