Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium


KARASÖZEN B. , Nemtsev A. D. , Tsybulin V. G.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.64, sa.6, ss.1740-1751, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Konu: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.camwa.2012.02.007
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Sayfa Sayıları: ss.1740-1751

Özet

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. (c) 2012 Elsevier Ltd. All rights reserved.