摘要
考虑处于重力场中,并且底部温度高于顶部温度的流层中的对流问题,是由Navier-Stokes方程与热传导方程来描述,忽略方程中的次要因素,考虑其中的速度场和温度场,利用傅立叶级数展开的收敛性质,对Navier-Stokes方程与热传导方程中的变量进行二维傅立叶展开,对展开后的方程进行复杂的计算,得到Lorenz方程,并且对得到的方程进行了数值模拟。
The physical problem on which temperature is different between bottom and top in gravitational field was taken into consideration. It was described by Navier-Stokes equation and thermal convey equation, by predigesting the equation, the fluid velocity field and the temperature field were considered, using 2D Fourier series of variables in these equations. Then through complex computation and development, the famous Lorenz equation was found, and its dynamic behavior was imitated numerically.
出处
《辽宁工学院学报》
2007年第5期337-341,共5页
Journal of Liaoning Institute of Technology(Natural Science Edition)
基金
辽宁省教育厅基金(05L187)
辽宁工业大学教师基金资助项目(200401081)
