Subgrid models preserving the symmetry group of the Navier–Stokes equations |
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Authors: | Dina Razafindralandy Aziz Hamdouni |
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Affiliation: | LEPTAB, université de La Rochelle, avenue Michel-Crépeau, 17042 La Rochelle cedex 01, France |
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Abstract: | In order to preserve the physical properties of the flow (scaling laws, conservation laws, …) during the simulation, a class of subgrid models respecting the symmetry group of the Navier–Stokes equations is built. The class is then refined such that models satisfy the second law of thermodynamics and are suited to take into account the inverse energy cascade. A simple model belonging to the class is tested and a better result than those provided by Smagorinsky and dynamic models is obtained. To cite this article: D. Razafindralandy, A. Hamdouni, C. R. Mecanique 333 (2005). |
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Keywords: | Computational fluid mechanics Turbulence Subgrid models Symmetry group Mécanique des fluides numérique Turbulence Modèles de sous-maille Groupe de symétrie |
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