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Analysis and development of subgrid turbulence models preserving the symmetry properties of the Navier-Stokes equations

Razafindralandy, Dina and Hamdouni, Aziz and Oberlack, Martin (2007):
Analysis and development of subgrid turbulence models preserving the symmetry properties of the Navier-Stokes equations.
In: European Journal of Mechanics - B/Fluids, Elsevier Science, pp. 531-550, 26, (4), ISSN 0997-7546,
[Online-Edition: http://www.sciencedirect.com/science/article/pii/S0997754606...],
[Article]

Abstract

Navier-Stokes equations have fundamental properties such as the invariance under some transformations, called symmetries, which play an important role in the description of the physics of the equations (conservation laws, wall laws, ...). It is essential that turbulence models do not violate these properties. An analysis of a large set of subgrid models, according to the respect of the symmetries of Navier-Stokes equations is then done. As this analysis reveals that only few of the existing models are consistent with the symmetries, a new class of compatible models is proposed. This class is refined such that the models also respect the second law of thermodynamics. Finally, it is shown that this thermodynamic requirement leads to the stability of the model.

Item Type: Article
Erschienen: 2007
Creators: Razafindralandy, Dina and Hamdouni, Aziz and Oberlack, Martin
Title: Analysis and development of subgrid turbulence models preserving the symmetry properties of the Navier-Stokes equations
Language: English
Abstract:

Navier-Stokes equations have fundamental properties such as the invariance under some transformations, called symmetries, which play an important role in the description of the physics of the equations (conservation laws, wall laws, ...). It is essential that turbulence models do not violate these properties. An analysis of a large set of subgrid models, according to the respect of the symmetries of Navier-Stokes equations is then done. As this analysis reveals that only few of the existing models are consistent with the symmetries, a new class of compatible models is proposed. This class is refined such that the models also respect the second law of thermodynamics. Finally, it is shown that this thermodynamic requirement leads to the stability of the model.

Journal or Publication Title: European Journal of Mechanics - B/Fluids
Volume: 26
Number: 4
Publisher: Elsevier Science
Uncontrolled Keywords: Turbulence modeling; Symmetry group; Thermodynamics
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 24 Aug 2011 17:59
Official URL: http://www.sciencedirect.com/science/article/pii/S0997754606...
Additional Information:

doi:10.1016/j.euromechflu.2006.10.003

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