Comptes Rendus
no. 5
Numerical simulation of two-dimensional Rayleigh–Bénard convection in an enclosure
[Simulation numérique bidimensionnelle d'une convection de type Rayleigh–Bénard dans une cavité carrée]

Présenté par : Sébastien Candel

Nasreddine Ouertatani1 ; Nader Ben Cheikh1  ; Brahim Ben Beya1 ; Taieb Lili1
1 Faculté des sciences de Tunis, département de physique, campus universitaire, 2092 El-Manar II, Tunisia
Comptes Rendus. Mécanique, Volume 336 (2008) no. 5, pp. 464-470.

La présente investigation porte sur une étude numérique bidimensionnelle relative à un problème de convection naturelle. Il s'agit en l'occurrence d'une convection de type Rayleigh Bénard dans une cavité carrée. Il est à noter qu'une convection de type Rayleigh Bènard peut être rencontrée dans de nombreuses applications physiques. On peut citer à titre d'exemple, le chauffage d'une pièce dans un immeuble ou encore le refroidissement de composants électroniques. Afin de correctement simuler l'écoulement, nous avons utilisé dans cette étude un maillage assez fin correspondant à 2562 nœuds de calcul. La résolution numérique est basée sur une formulation de type volumes finis et une accélération multigrille. Des solutions Benchmark sont alors proposées relativement aux nombres de Rayleigh 103, 104, 105 et 106. Une comparaison des résultats obtenus par la méthode classique RBSOR et la méthode multigrille est également faite et montre qu'un facteur gain de 17 peut être atteint.

In this Note, a numerical approach based on the finite volume method and a full multigrid acceleration is used, applied to the classical Rayleigh Bénard convection problem. Fine grids corresponding to 2562 nodes are used and Benchmark solutions are proposed for Rayleigh numbers ranging from 103 to 106. Some streamlines and isotherms are presented to analyze the natural convection flow patterns set up by the buoyancy force.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2008.02.004
Keywords: Heat transfer, Rayleigh–Bénard convection
Mots-clés : Transferts thermiques, Convection Rayleigh–Bénard

Nasreddine Ouertatani 1 ; 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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Nasreddine Ouertatani; Nader Ben Cheikh; Brahim Ben Beya; Taieb Lili. Numerical simulation of two-dimensional Rayleigh–Bénard convection in an enclosure. Comptes Rendus. Mécanique, Volume 336 (2008) no. 5, pp. 464-470. doi : 10.1016/j.crme.2008.02.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.02.004/

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