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• W2079897241 abstract "Convection in a porous medium may produce strong nonuniqueness of patterns. We study this phenomena for the case of a multicomponent fluid and develop a mimetic finite-difference scheme for the three-dimensional problem. Discretization of the Darcy equations in the primitive variables is based on staggered grids with five types of nodes and on a special approximation of nonlinear terms. This scheme is applied to the computer study of flows in a porous parallelepiped filled by a two-component fluid and with two adiabatic lateral planes. We found that the continuous family of steady stable states exists in the case of a rather thin enclosure. When the depth is increased, only isolated convective regimes may be stable. We demonstrate that the non-mimetic approximation of nonlinear terms leads to the destruction of the continuous family of steady states." @default.
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• W2079897241 date "2012-09-01" @default.
• W2079897241 modified "2023-10-14" @default.
• W2079897241 title "Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium" @default.
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• W2079897241 doi "https://doi.org/10.1016/j.camwa.2012.02.007" @default.
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