Natural convection flow in a tall enclosure using a multigrid method

Nader Ben Cheikh; Brahim Ben Beya; Taieb Lili

doi:10.1016/j.crme.2007.01.004

Natural convection flow in a tall enclosure using a multigrid method

Presented by: Sébastien Candel

Nader Ben Cheikh ¹ ; Brahim Ben Beya ¹; Taieb Lili ¹

¹ Faculté des Sciences de Tunis, Département de Physique, Campus Universitaire 2092 El-Manar II, Tunisia

Comptes Rendus. Mécanique, Volume 335 (2007) no. 2, pp. 113-118.

Abstract
Résumé

A two-dimensional numerical study of natural convection flow in an air filled enclosure of aspect ratio $A = 9$ is investigated in this Note. The numerical method is based on a second order finite volume scheme and a projection method. A full multigrid technique is used to accelerate the convergence of the Poisson pressure equation. The multigrid procedure is briefly described and the critical Rayleigh number above which the flow becomes unsteady is determined.

Nous présentons dans ce papier une étude numérique de convection naturelle bidimensionnelle dans une cavité de rapport de forme $A = 9$ , remplie d'air. La méthode numérique est basée sur un schéma de type volumes finis du second ordre et une méthode de projection. Une approche multigrille est utilisée pour accélérer la convergence de l'équation de Poisson. La méthode est brièvement décrite et le nombre de Rayleigh critique au-delà duquel l'écoulement devient instationnaire est déterminé.

Received: 2006-04-30
Accepted: 2007-01-23
Published online: 2007-02-01

DOI: 10.1016/j.crme.2007.01.004

Keywords: Computational fluid mechanics, Natural convection flow, Multigrid technique
Mot clés : Mécanique des fluides numérique, Écoulement de convection naturelle, Approche multigrille

Author's affiliations:

Nader Ben Cheikh ¹; Brahim Ben Beya ¹; Taieb Lili ¹

¹ Faculté des Sciences de Tunis, Département de Physique, Campus Universitaire 2092 El-Manar II, Tunisia

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     author = {Nader Ben Cheikh and Brahim Ben Beya and Taieb Lili},
     title = {Natural convection flow in a tall enclosure using a multigrid method},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {113--118},
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     year = {2007},
     doi = {10.1016/j.crme.2007.01.004},
     language = {en},
}

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Nader Ben Cheikh; Brahim Ben Beya; Taieb Lili. Natural convection flow in a tall enclosure using a multigrid method. Comptes Rendus. Mécanique, Volume 335 (2007) no. 2, pp. 113-118. doi : 10.1016/j.crme.2007.01.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.01.004/

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