[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.
Accepté le :
Publié le :
Mots-clés : Mécanique des fluides numérique, Dévéloppement asymptotique, Équation de Stokes, Décomposition asymptotique partielle du domaine, Extrusion, Solution numérique
Auder Ainser 1 ; Delphine Dupuy 2 ; Gregory P. Panasenko 2, 3 ; Ivan Sirakov 1
@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/
[1] Asymptotic solution of the Navier–Stokes problem on the flow in thin layer fluid, Siberian Math. J., Volume 31 (1990), pp. 296-307
[2] Nonlinear effects for flow in periodically constricted channel caused by high injection rate, Math. Models Methods Appl. Sci., Volume 8 (1998) no. 3, pp. 379-405
[3] Asymptotic analysis and partial asymptotic decomposition of domain for Stokes equation in tube structure, Math. Models Methods Appl. Sci., Volume 9 (1999) no. 9, pp. 1351-1378
[4] Asymptotic partial decomposition of variational problems, C. R. Acad. Sci. Paris, Sér. IIb, Volume 327 (1999), pp. 1185-1190
[5] Navier–Stokes Equations, North-Holland, 1984
[6] An Introduction to the Mathematical Theory of the Navier–Stokes Equations, Springer, 1984
[7] Approximation of unbounded domains by bounded domains. Boundary value problems for Lamé operator, St. Petersburg Math. J., Volume 8 (1997) no. 5, pp. 879-912
[8] A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetrical linear systems, SIAM J. Sci. Statist. Comput., Volume 13 (1992), pp. 631-644
Cité par Sources :
Commentaires - Politique