Benard对流问题五模类Lorenz方程组混沌吸引子的数值模拟  

Numerical slmulation of chaos attractor of five—dimensional lorenz—like system of bendard convection problem

作　　者：汪敬贤[1] 王贺元[2] 

机构地区：[1]渤海大学公共计算机教研部,辽宁锦州121013 [2]辽宁工业大学数理系,辽宁锦州121001

出　　处：《渤海大学学报（自然科学版）》2009年第2期139-142,共4页Journal of Bohai University:Natural Science Edition

基　　金：辽宁省教育厅科研基金资助项目(No:20060397)。

摘　　要：考虑底部加热的两平行板间流层的Benard对流问题,该问题可以用Navier-Stokes方程与热传导方程来描述,对其速度场和温度场等相关变量进行二维傅立叶展开,经过复杂运算得到新五模类Lorenz方程组。The Benard convection problem with different temperature between bottom and top is studied, It is described by Navier--Stokes equation and heat conduction equation. For the fluid velocity field and the temperature field, using Fourier series we obtain several five--modes Lorenz equations. The chaos behaviors are simulated numerically by computer according to the changing of Rayleigh number.

关 键 词：Navier--Stokes方程 热传导方程 混沌 

分 类 号：O175.14[理学—数学]