Numerical convergence studies of the mixed finite element method for natural convection flow in a fluid-saturated porous medium |
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| Authors: | Jeff Chak-Fu Wong Peng Yuan |
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| Institution: | 1. Department of Mathematics , The Chinese University of Hong Kong , Room 220, Lady Shaw Building, Shatin, Hong Kong jwong@math.cukh.edu.hk;3. Department of Hydrology and Water Resource Conservancy Engineering , SiChuan University , ChengDu, SiChuan, People's Republic of China |
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| Abstract: | This paper describes a numerical approximation scheme for the natural convection (NC) flow in a fluid-saturated porous medium. Our formulation of the problem is based on the mixed finite element method (FEM). Using the so-called consistent splitting scheme, a second-order accuracy in time and in space is verified by the numerical calculation. The resulting flow patterns and heat transfer for different Rayleigh numbers, Darcy numbers and porosities are numerically studied by the proposed scheme. |
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| Keywords: | Natural convection Forchheimer's law Consistent splitting method Mixed formulation Finite element |
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