Staggered grids discretization in three-dimensional Darcy convection

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2008-06-15

Author

Karasözen, Bülent
Tsybulin, V. G.

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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.

Subject Keywords

Convection, Porous medium, Darcy law, Cosymmetry, Finite-differences, Staggered grids, Family of equilibria

URI

https://hdl.handle.net/11511/29912

Journal

COMPUTER PHYSICS COMMUNICATIONS

DOI

https://doi.org/10.1016/j.cpc.2008.02.004

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

B. Karasözen and V. G. Tsybulin, “Staggered grids discretization in three-dimensional Darcy convection,” COMPUTER PHYSICS COMMUNICATIONS, pp. 885–893, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/29912.