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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 052, 20 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.052 (Mi sigma80) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Consequences of Symmetries on the Analysis and Construction of Turbulence Models

Dina Razafindralandy, Aziz Hamdouni

LEPTAB, Avenue Michel Crépeau, 17042 La Rochelle Cedex 01, France
Full-text PDF (305 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2006.052
Abstract: Since they represent fundamental physical properties in turbulence (conservation laws, wall laws, Kolmogorov energy spectrum, $\dots$), symmetries are used to analyse common turbulence models. A class of symmetry preserving turbulence models is proposed. This class is refined such that the models respect the second law of thermodynamics. Finally, an example of model belonging to the class is numerically tested.
Keywords: turbulence; large-eddy simulation; Lie symmetries; Noether’s theorem; thermodynamics.
Received: October 28, 2005; in final form May 2, 2006; Published online May 12, 2006
Bibliographic databases:
Document Type: Article
MSC: 22E70; 35A30; 35Q30; 76D05; 76F65; 76M60
Language: English
Citation: Dina Razafindralandy, Aziz Hamdouni, “Consequences of Symmetries on the Analysis and Construction of Turbulence Models”, SIGMA, 2 (2006), 052, 20 pp.
Citation in format AMSBIB
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\by Dina Razafindralandy, Aziz Hamdouni
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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