Mimetic discretization of two-dimensional Darcy convection |
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Authors: | B Karasözen VG Tsybulin |
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Affiliation: | a Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, Turkey b Department of Mathematics and Mechanics, Rostov State University, Russia |
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Abstract: | We consider discretization of the planar convection of the incompressible fluid in a porous medium filling rectangular enclosure. This problem belongs to the class of cosymmetric systems and admits an existence of a continuous family of steady states in the phase space. Mimetic finite-difference schemes for the primitive variables equation are developed. The connection of a derived staggered discretization with a finite-difference approach based on the stream function and temperature equations is established. Computations of continuous cosymmetric families of steady states are presented for the case of uniform and nonuniform grids. |
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Keywords: | 02 30 Jr 02 70 Bf 47 55 Mh |
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