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

LUO Zhen-dong; ZHU Jiang; XIE Zheng-hui; ZHANG Gui-fang

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(9): 973-983

LUO Zhen-dong, ZHU Jiang, XIE Zheng-hui, ZHANG Gui-fang. Difference Scheme and Numerical Simulation Based on Mixed Finite Element Method for Natural Convection Problem[J]. Applied Mathematics and Mechanics, 2003, 24(9): 973-983.

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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

Received Date: 2001-09-18
Rev Recd Date: 2003-03-28
Publish Date: 2003-09-15

Abstract

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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References(9)

References

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