Comptes Rendus
no. 4
Analysis of subgrid models of heat convection by symmetry group theory
[Analyse de modèles de sous-maille de la convection thermique par les symétries]

Présenté par : Patrick Huerre

Dina Razafindralandy1  ; Aziz Hamdouni1
1 LEPTAB, université de La Rochelle, avenue Michel-Crépeau, 17042 La Rochelle cedex 01, France
Comptes Rendus. Mécanique, Volume 335 (2007) no. 4, pp. 225-230.

Les symétries, c'est-à-dire les transformations laissant invariant l'ensemble des solutions des équations, jouent un rôle important dans la turbulence (lois de conservation, lois de paroi, …). Elles ne devraient pas être détruites par l'introduction des modèles de turbulence dans les équations. Dans cette Note, on analyse l'invariance des modèles se sous-maille pour la convection thermique sous l'action du groupe de symétrie des équations non filtrées.

Symmetries, i.e. transformations which leave the set of the solutions of the Navier–Stokes equations unchanged, play an important role in turbulence (conservation laws, wall laws, …). They should not be destroyed by turbulence models. The symmetries of the heat convection equations are then presented, for a non-isothermal fluid. Next, common subgrid stress tensor and flux models are analyzed, using the symmetry approach.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2007.03.004
Keywords: Turbulence, Heat convection, Subgrid models, Symmetry group
Mot clés : Turbulence, Convection thermique, Modèles de sous-maille, Groupe de symétrie
Dina Razafindralandy 1 ; Aziz Hamdouni 1

1 LEPTAB, université de La Rochelle, avenue Michel-Crépeau, 17042 La Rochelle cedex 01, France 
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Dina Razafindralandy; Aziz Hamdouni. Analysis of subgrid models of heat convection by symmetry group theory. Comptes Rendus. Mécanique, Volume 335 (2007) no. 4, pp. 225-230. doi : 10.1016/j.crme.2007.03.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.03.004/

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