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

Symmetry

Nazir Al Sayed¹  Aziz Hamdouni¹  Erwan Liberge¹ 

[1] LEPTIAB, Université de La Rochelle, Avenue Michel Crépeau, 17042 La Rochelle Cedex 1, France

关键词: symmetry;    invariance;    turbulence;    large-eddy simulation;    convection;   

DOI  :  10.3390/sym2020848

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.