Skip to Main content Skip to Navigation
Theses

Modèles LES invariants par groupes de symétries en écoulements turbulents anisothermes

Abstract : Since the Lie group of a given partial differential equation, represent the intrinsic physical propertiesof the equation, it gives a strong tool for modeling its physical phenomenas. The mainpurpose of this thesis, is to apply the Lie group theory, in modeling non-isothermal flows. Therefore,we calculate wall laws and more generally scaling laws for the velocity and the temperatureof a parallel flow. In fact, these scaling laws are simply self-similar solutions of the Navier-Stokesequations averaged with respect to their symmetry.The approach of the Lie group theory, leads to a class of sub-grade models which are invariantvia the symmetries of the non-isothermal Navier-Stokes equations. These models respectthe physical properties contained in these symmetries. Moreover, via this approach the heat flowmodel appears naturally in this class, without introducing the notion of the Prandlt number,which is not the case for any other existing model. From the other side, the behavior near thewall of particular models in this class, is studied. Finally, numerical tests are done in both casesof the natural convection and the mixed one.
Document type :
Theses
Complete list of metadatas

Cited literature [79 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00605655
Contributor : Abes Star :  Contact
Submitted on : Sunday, July 3, 2011 - 5:28:12 PM
Last modification on : Friday, June 16, 2017 - 10:55:51 AM
Long-term archiving on: : Tuesday, October 4, 2011 - 2:21:19 AM

File

These_Nazir-AlSayed.pdf
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-00605655, version 1

Collections

Citation

Nazir Al Sayed. Modèles LES invariants par groupes de symétries en écoulements turbulents anisothermes. Autre. Université de La Rochelle, 2011. Français. ⟨NNT : 2011LAROS325⟩. ⟨tel-00605655⟩

Share

Metrics

Record views

629

Files downloads

918