Staggered grids discretization in three-dimensional Darcy convection

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

COMPUTER PHYSICS COMMUNICATIONS, cilt.178, sa.12, ss.885-893, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 178 Sayı: 12
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.cpc.2008.02.004
  • Dergi Adı: COMPUTER PHYSICS COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.885-893
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We consider three-dimensional convection of an incompressible fluid saturated in a parallelepiped with a porous medium. A mimetic finite-difference scheme for the Darcy convection problem in the primitive variables is developed. It consists of staggered nonuniform grids with five types of nodes, differencing and averaging operators on a two-nodes stencil. The nonlinear terms are approximated using special schemes. Two problems with different boundary conditions are considered to study scenarios of instability of the state of rest. Branching off of a continuous family of steady states was detected for the problem with zero heat fluxes on two opposite lateral planes. (C) 2008 Elsevier B.V. All rights reserved.