自然对流换热问题基于混合元法的差分格式及其数值模拟

基金项目: 国家自然科学基金资助项目(10071052,49776283);北京市教委资助项目;中国科学院"百人计划";北京市优秀人才专项经费;中国科学院九五重点项目资助项目(K2952-51-434)

Difference Scheme and Numerical Simulation Based on Mixed Finite Element Method for Natural Convection Problem

1.
Department of Mathematics, Capital Normal University, Beijing 100037, P.R.China;
2.
Institute of Academy Physics, Chinese Academy of Sciences, Beijing 100029, P.R.China

摘要: 研究自然对流换热问题,通过对于空间变量采用有限元离散而对于时间变量用差分离散,导出一种基于混合有限元法的最低阶的差分格式,这种格式可以同时求出流体的速度、温度和压力的数值解,并给出了模拟方腔流的自然换热的数值例子。
- 自然对流换热问题 /
- 混合元法 /
- 差分格式
Abstract: The non stationary natural convection problem is studied. A lowest order finite difference scheme based on mixed finite element method for non stationary natural convection problem, by the spatial variations discreted with finite element method and time with finite difference scheme was derived, where the numerical solution of velocity, pressure, and temperature can be found together, and a numerical example to simulate the close square cavity is given, which is of practical importance.
- nutural convection equation /
- mixed element method /
- finite difference scheme

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