Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 052, 20 pages      physics/0605106      https://doi.org/10.3842/SIGMA.2006.052

Consequences of Symmetries on the Analysis and Construction of Turbulence Models

Dina Razafindralandy and Aziz Hamdouni
LEPTAB, Avenue Michel Crépeau, 17042 La Rochelle Cedex 01, France

Received October 28, 2005, in final form May 02, 2006; Published online May 12, 2006

Abstract
Since they represent fundamental physical properties in turbulence (conservation laws, wall laws, Kolmogorov energy spectrum, ...), 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.

Key words: turbulence; large-eddy simulation; Lie symmetries; Noether's theorem; thermodynamics.

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