[Écoulement dans une structure tubulaire ondulée : analyse asymptotique et résolution numérique]
Nous considérons ici le mouvement bi-dimensionnel et stationnaire d'un fluide incompressible à l'intérieur d'un domaine constitué de tubes ondulés. La méthode de décomposition asymptotique partielle du domaine est mise en place et des résultats numériques, obtenus pour la modélisation de procédés d'extrusion seront présentés afin de justifier l'application de cette méthode.
This paper deals with the study of the stationary, incompressible, 2D flow of a fluid in a thin wavy tube. In this work, we consider a domain which is the union of two wavy tubes depending on a small parameter. The asymptotic expansion is constructed. The method of partial asymptotic decomposition is applied. The numerical implementation of this method for the extrusion process is developed. The new physical effects are discussed.
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Mot clés : Mécanique des fluides numérique, Dévéloppement asymptotique, Équation de Stokes, Décomposition asymptotique partielle du domaine, Extrusion, Solution numérique
@article{CRMECA_2003__331_9_609_0,
author = {Auder Ainser and Delphine Dupuy and Gregory P. Panasenko and Ivan Sirakov},
title = {Flow in wavy tube structure: asymptotic analysis and numerical simulation},
journal = {Comptes Rendus. M\'ecanique},
pages = {609--615},
publisher = {Elsevier},
volume = {331},
number = {9},
year = {2003},
doi = {10.1016/S1631-0721(03)00131-1},
language = {en},
}
TY - JOUR AU - Auder Ainser AU - Delphine Dupuy AU - Gregory P. Panasenko AU - Ivan Sirakov TI - Flow in wavy tube structure: asymptotic analysis and numerical simulation JO - Comptes Rendus. Mécanique PY - 2003 SP - 609 EP - 615 VL - 331 IS - 9 PB - Elsevier DO - 10.1016/S1631-0721(03)00131-1 LA - en ID - CRMECA_2003__331_9_609_0 ER -
%0 Journal Article %A Auder Ainser %A Delphine Dupuy %A Gregory P. Panasenko %A Ivan Sirakov %T Flow in wavy tube structure: asymptotic analysis and numerical simulation %J Comptes Rendus. Mécanique %D 2003 %P 609-615 %V 331 %N 9 %I Elsevier %R 10.1016/S1631-0721(03)00131-1 %G en %F CRMECA_2003__331_9_609_0
Auder Ainser; Delphine Dupuy; Gregory P. Panasenko; Ivan Sirakov. Flow in wavy tube structure: asymptotic analysis and numerical simulation. Comptes Rendus. Mécanique, Volume 331 (2003) no. 9, pp. 609-615. doi : 10.1016/S1631-0721(03)00131-1. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00131-1/
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