Aptitude of a lattice Boltzmann method for evaluating transitional thresholds for low Prandtl number flows in enclosures

Mohammed El Ganaoui; R. Djebali

doi:10.1016/j.crme.2009.12.008

Aptitude of a lattice Boltzmann method for evaluating transitional thresholds for low Prandtl number flows in enclosures

Presented by: Michel Combarnous

Mohammed El Ganaoui ¹ ; R. Djebali ¹

¹ Université de Limoges/CNRS, faculté des sciences et techniques, 123, avenue Albert-Thomas, 87060 Limoges, France

Comptes Rendus. Mécanique, Volume 338 (2010) no. 2, pp. 85-96.

Abstract
Résumé

Lattice Boltzmann (LB) method is considered versus classical discretisation approaches to solve the problem of heat and fluid flow. The work considers situations with symmetry breaking for low Prandtl number fluids flowing in enclosures interesting directional solidification industry. The computed results demonstrate a good LB method's ability to captivate flow bifurcation thresholds. Particularly cavities exhibiting bifurcation sequences are considered and results are consistent with prior observations.

L'approche gaz sur réseaux est comparée aux méthodes de discrétisation classiques pour résoudre le problème de transferts de chaleur et d'écoulement. Le travail considère des situations de faible nombre de Prandtl avec brisure de symétrie dans des cavités intéressant des configurations de solidification dirigée. Les résultats illustrent un bon accord avec les scénarios existants dans le cas d'écoulements avec bifurcation.

Received: 2009-03-25
Accepted: 2009-12-16
Published online: 2010-02-01

DOI: 10.1016/j.crme.2009.12.008

Keywords: Continuum mechanics, Symmetry breaking, Lattice Boltzmann
Mots-clés : Milieux continus, Brisure de symétrie, Gaz sur réseau

Author's affiliations:

Mohammed El Ganaoui ¹; R. Djebali ¹

¹ Université de Limoges/CNRS, faculté des sciences et techniques, 123, avenue Albert-Thomas, 87060 Limoges, France

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     journal = {Comptes Rendus. M\'ecanique},
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     language = {en},
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Mohammed El Ganaoui; R. Djebali. Aptitude of a lattice Boltzmann method for evaluating transitional thresholds for low Prandtl number flows in enclosures. Comptes Rendus. Mécanique, Volume 338 (2010) no. 2, pp. 85-96. doi : 10.1016/j.crme.2009.12.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.12.008/

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