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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (9): 1100-1110.

• 论文 • 上一篇    下一篇

DIFFERENCE SCHEME AND NUMERICAL SIMULATION BASED ON MIXED FINITE ELEMENT METHOD FOR NATURAL CONVECTION PROBLEM

罗振东1,2, 朱江2, 谢正辉2, 张桂芳1   

  1. 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
  • 收稿日期:2001-09-18 修回日期:2003-03-28 出版日期:2003-09-18 发布日期:2003-09-18
  • 基金资助:

    the National Natural Science Foundation of China (10071052, 49776283);the Foundation of the Evolvement Plan of Science and Technology of Beijing Educational Council;the "Plan of Hundreds Persons" Foundation of Chinese Academy of Sciences;Beijing Municipal Fund of Excellent Talented Persons;CAS Ninth Five-Year Plan Key Project "Natural Cybernetics Study" (K2952-51-434)

DIFFERENCE SCHEME AND NUMERICAL SIMULATION BASED ON MIXED FINITE ELEMENT METHOD FOR NATURAL CONVECTION PROBLEM

LUO Zhen-dong1,2, ZHU Jiang2, XIE Zheng-hui2, ZHANG Gui-fang 1   

  1. 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
  • Received:2001-09-18 Revised:2003-03-28 Online:2003-09-18 Published:2003-09-18
  • Supported by:

    the National Natural Science Foundation of China (10071052, 49776283);the Foundation of the Evolvement Plan of Science and Technology of Beijing Educational Council;the "Plan of Hundreds Persons" Foundation of Chinese Academy of Sciences;Beijing Municipal Fund of Excellent Talented Persons;CAS Ninth Five-Year Plan Key Project "Natural Cybernetics Study" (K2952-51-434)

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摘要： 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.

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.

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