[Dérivation du modèle k–ε de turbulence localement homogène par des techniques d'homogénéisation]
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.
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@article{CRMATH_2003__337_6_431_0,
author = {Chac\'on Rebollo, Tom\'as and Franco Coronil, Daniel},
title = {Derivation of the \protect\emph{k}{\textendash}\protect\emph{\ensuremath{\varepsilon}} model for locally homogeneous turbulence by homogenization techniques},
journal = {Comptes Rendus. Math\'ematique},
pages = {431--436},
publisher = {Elsevier},
volume = {337},
number = {6},
year = {2003},
doi = {10.1016/S1631-073X(03)00353-4},
language = {en},
url = {http://www.numdam.org/articles/10.1016/S1631-073X(03)00353-4/}
}
TY - JOUR AU - Chacón Rebollo, Tomás AU - Franco Coronil, Daniel TI - Derivation of the k–ε model for locally homogeneous turbulence by homogenization techniques JO - Comptes Rendus. Mathématique PY - 2003 SP - 431 EP - 436 VL - 337 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S1631-073X(03)00353-4/ DO - 10.1016/S1631-073X(03)00353-4 LA - en ID - CRMATH_2003__337_6_431_0 ER -
%0 Journal Article %A Chacón Rebollo, Tomás %A Franco Coronil, Daniel %T Derivation of the k–ε model for locally homogeneous turbulence by homogenization techniques %J Comptes Rendus. Mathématique %D 2003 %P 431-436 %V 337 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/S1631-073X(03)00353-4/ %R 10.1016/S1631-073X(03)00353-4 %G en %F CRMATH_2003__337_6_431_0
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://www.numdam.org/articles/10.1016/S1631-073X(03)00353-4/
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