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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
【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,对此方程组的动力学行为进行了数值模拟
【Abstract】 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;
【Key words】 Navier-Stokes equation; heat conduction equation; chaos;
【Key words】 Navier-Stokes equation; heat conduction equation; chaos;
【基金】 辽宁省教育厅科研基金资助项目(No:20060397)。
- 【文献出处】 渤海大学学报(自然科学版) ,Journal of Bohai University(Natural Science Edition) , 编辑部邮箱 ,2009年02期
- 【分类号】O175.24
- 【被引频次】1
- 【下载频次】70