Navier-Stokes方程中的混沌特性

STUDY ON CHAOS CHARACTERIS-TICS OF N-S EQUATION

基于建立的描述湍流问题的Navier Stokes方程,忽略方程中的次要因素,利用二维傅立叶级数展开的收敛性质,对湍流方程中变量进行二维傅立叶级数展开,得到了可以描述湍流问题的混沌特性方程。该方法把湍流方程直接与Lorenz方程联系起来,大大简化了湍流方程的混沌特性求解过程。从该混沌方程出发可以对湍流的混沌特性问题进行研究。

Based on the Navier-Stokes equations that describe the turbulent flow,by predigesting the equations and using the 2D Fourier series of variables in these equations,the chaos characteristics equations to describe the turbulent flow were found.This method has directly built the relation between the turbulent flow equation and the Lorenz equation.It simplified the solution course of the chaos character of the turbulent flow equation.Through study on the chaos characteristic equations,the chaos characteristic of the turbulent flow can be explained.