Difference scheme and numerical simulation based on mixed finite element method for natural convection problem |
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Authors: | Luo Zhen-dong Zhu Jiang Xie Zheng-hui Zhang Gui-fang |
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Institution: | 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 |
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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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Keywords: | nutural convection equation mixed element method finite difference scheme |
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