Symmetry 2010, 2(2), 848-867; doi:10.3390/sym2020848
Article

The Symmetry Group of the Non-Isothermal Navier–Stokes Equations and Turbulence Modelling

Nazir Al Sayedemail, Aziz Hamdouniemail, Erwan Libergeemail and Dina Razafindralandy* email
LEPTIAB, Université de La Rochelle, Avenue Michel Crépeau, 17042 La Rochelle Cedex 1, France
* Author to whom correspondence should be addressed.
Received: 10 December 2009; in revised form: 18 March 2010 / Accepted: 12 April 2010 / Published: 16 April 2010
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
PDF Full-text Download PDF Full-Text [236 KB, uploaded 16 April 2010 14:12 CEST]
Abstract: In this work, the non-isothermal Navier–Stokes equations are studied from the group theory point of view. The symmetry group of the equations is presented and discussed. Some standard turbulence models are analyzed with the symmetries of the equations. A class of turbulence models which preserve the physical properties contained in the symmetry group is built. The proposed turbulence models are applied to an illustrative example of natural convection in a differentially heated cavity, and the results are presented.
Keywords: symmetry; invariance; turbulence; large-eddy simulation; convection

Article Statistics

Click here to load and display the download statistics.

Cite This Article

MDPI and ACS Style

Al Sayed, N.; Hamdouni, A.; Liberge, E.; Razafindralandy, D. The Symmetry Group of the Non-Isothermal Navier–Stokes Equations and Turbulence Modelling. Symmetry 2010, 2, 848-867.

AMA Style

Al Sayed N, Hamdouni A, Liberge E, Razafindralandy D. The Symmetry Group of the Non-Isothermal Navier–Stokes Equations and Turbulence Modelling. Symmetry. 2010; 2(2):848-867.

Chicago/Turabian Style

Al Sayed, Nazir; Hamdouni, Aziz; Liberge, Erwan; Razafindralandy, Dina. 2010. "The Symmetry Group of the Non-Isothermal Navier–Stokes Equations and Turbulence Modelling." Symmetry 2, no. 2: 848-867.

Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert