Staggered grids discretization in three-dimensional Darcy convection

被引：2

作者：

Karasozen, B. ^{[1
]}

Nemtsev, A. D. ^{[2
]}

Tsybulin, V. G. ^{[2
]}

机构：

[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

[2] So Fed Univ, Dept Computat Math, Rostov Na Donu, Russia

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2008年 / 178卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

convection; porous medium; Darcy law; cosymmetry; finite-differences; staggered grids; family of equilibria;

D O I：

10.1016/j.cpc.2008.02.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

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页码：885 / 893

页数：9

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