On the Stream Function-Vorticity Finite Element Formulation for Incompressible Flow in Porous Media-Reference-Cited by-同舟云学术

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On the Stream Function-Vorticity Finite Element Formulation for Incompressible Flow in Porous Media

Published:2014-09-18 Issue: Volume:2014 Page:1-11
ISSN:1687-9562
Container-title:Advances in Numerical Analysis
language:en
Short-container-title:Advances in Numerical Analysis

Author:

Agouzal Abdellatif¹,Allali Karam²^ORCID,Binna Siham²

Affiliation:

1. University Lyon 1, CNRS UMR 5208, Institute Camille Jordan, 69100 Villeurbanne, France

2. University Hassan II, FSTM, P.O. Box 146, Mohammedia, Morocco

Abstract

Stream function-vorticity finite element formulation for incompressible flow in porous media is presented. The model consists of the heat equation, the equation for the concentration, and the equations of motion under the Darcy law. The existence of solution for the discrete problem is established. Optimal a priori error estimates are given.

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2014/459761.pdf

Reference9 articles.

1. Quantifying mixing in viscously unstable porous media flows

2. Analysis of Heat Transfer Regulation and Modification Employing Intermittently Emplaced Porous Cavities

3. Convection in Porous Media

4. Global non-linear stability in double diffusive convection via hidden symmetries

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