Free access article

ESAIM: Proc., 1997, Vol. 2, pp. 275-281
DOI: 10.1051/proc:1997020

Décomposition d'opérateurs en fluides viscoélastiques

Pierre Saramito

Laboratoire de Rhéologie 38041 Grenoble cedex 9, France

Résumé
On étudie une application du θ-schéma au calcul d'écoulements de fluides viscoélastiques. La décomposition vise à séparer les termes de viscosité des termes de transport. On se ramène ainsi à résoudre deux sous-problèmes plus simples, l'un de type Stokes, l'autre de type transport du tenseur des contraintes. De plus, en présence de singularités, ce schéma permet de contourner les difficultés rencontrées par la plupart des méthodes itératives dans ce type de simulation. En conclusion, on présente des résultats d'expériences numériques qui, de notre point de vue, justifient pleinement la méthodologie numérique qui y est décrite.

Abstract
We study a θ-scheme applied to the computation of viscoelastic fluid flows The splitting technique leads to two problems the first one, a Stokes-like, and the second, a stress tensor transport problem. Furthermore, when the solution is singular this, scheme allows to overcome difficulties appearing when using other classical iterative procedures for this kind of simulation. To conclude, we present the result of numerical experiments which in our opinion fully validate the numerical experiments which in our opinion fully validate the numerical methodology described here

© EDP Sciences, ESAIM 1997

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