[Modèles adaptatifs pour la simulation de fluides polymériques]
Nous proposons un nouvel algorithme adaptatif pour la simulation multi-échelles de fluides non-newtoniens. Le principe est d'utiliser soit un modèle simple (macroscopique) soit un modèle plus détaillé (microscopique) dans chaque maille, le choix étant effectué de manière dynamique à chaque pas de temps sur la base d'indicateurs d'erreur a posteriori. Des tests sur un écoulement cisaillé pour le modèle FENE de fluides polymériques démontrent l'intérêt de l'approche.
We propose a new adaptive algorithm for multiscale simulations of non-Newtonian fluids. Using a posteriori error indicators, the method can switch dynamically at each timestep between a rough (macroscopic) and a detailed (microscopic) model in each cell of the mesh. The validity of the approach is tested on a plane shear flow for the FENE model of polymeric fluids.
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@article{CRMATH_2007__344_7_473_0,
author = {Ern, Alexandre and Leli\`evre, Tony},
title = {Adaptive models for polymeric fluid flow simulation},
journal = {Comptes Rendus. Math\'ematique},
pages = {473--476},
publisher = {Elsevier},
volume = {344},
number = {7},
year = {2007},
doi = {10.1016/j.crma.2007.02.013},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2007.02.013/}
}
TY - JOUR AU - Ern, Alexandre AU - Lelièvre, Tony TI - Adaptive models for polymeric fluid flow simulation JO - Comptes Rendus. Mathématique PY - 2007 SP - 473 EP - 476 VL - 344 IS - 7 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2007.02.013/ DO - 10.1016/j.crma.2007.02.013 LA - en ID - CRMATH_2007__344_7_473_0 ER -
%0 Journal Article %A Ern, Alexandre %A Lelièvre, Tony %T Adaptive models for polymeric fluid flow simulation %J Comptes Rendus. Mathématique %D 2007 %P 473-476 %V 344 %N 7 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2007.02.013/ %R 10.1016/j.crma.2007.02.013 %G en %F CRMATH_2007__344_7_473_0
Ern, Alexandre; Lelièvre, Tony. Adaptive models for polymeric fluid flow simulation. Comptes Rendus. Mathématique, Tome 344 (2007) no. 7, pp. 473-476. doi : 10.1016/j.crma.2007.02.013. http://www.numdam.org/articles/10.1016/j.crma.2007.02.013/
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