no. 6
Mathematical Problems in Mechanics/Mathematical Physics
Derivation of the k–ε model for locally homogeneous turbulence by homogenization techniques
[Dérivation du modèle k–ε de turbulence localement homogène par des techniques d'homogénéisation]

Présenté par : Olivier Pironneau

Chacón Rebollo, Tomás1 ; Franco Coronil, Daniel1
1 Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, 41012 Sevilla, Spain
Comptes Rendus. Mathématique, Tome 337 (2003) no. 6, pp. 431-436.

Nous obtenons le modèle k–ε de turbulence incompressible et compressible. Le modèle est dérivé rigoureusement sur des bases mathématiques formelles, en utilisant la technique MPP de modélisation. Ceci nous permet de calculer, aussi bien analytiquement, que bien numériquement, les constantes de fermeture du modèle.

We derive the incompressible and compressible k–ε model for locally homogeneous turbulence. The model is rigorously derived on formal mathematical grounds using the MPP modelling technique. This lets us calculate by either analytical or numerical means the closure constants of the model.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00353-4
Chacón Rebollo, Tomás 1 ; Franco Coronil, Daniel 1

1 Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, 41012 Sevilla, Spain 
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     title = {Derivation of the \protect\emph{k}{\textendash}\protect\emph{\ensuremath{\varepsilon}} model for locally homogeneous turbulence by homogenization techniques},
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     pages = {431--436},
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Chacón Rebollo, Tomás; Franco Coronil, Daniel. Derivation of the k–ε model for locally homogeneous turbulence by homogenization techniques. Comptes Rendus. Mathématique, Tome 337 (2003) no. 6, pp. 431-436. doi : 10.1016/S1631-073X(03)00353-4. http://archive.numdam.org/articles/10.1016/S1631-073X(03)00353-4/

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