Fluid-structure interaction and multi-body contact. Application to aortic valves

Matteo Astorino 1 Jean-Frédéric Gerbeau 1 Olivier Pantz 2, 3 Karim-Frédéric Traore 1
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
3 DeFI - Shape reconstruction and identification
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7641
Abstract : In this article we present a partitioned procedure for fluid-structure interaction problems in which contacts among different deformable bodies can occur. A typical situation is the movement of a thin valve (e.g. the aortic valve) immersed in an incompressible viscous fluid (e.g. the blood). In the proposed strategy the fluid and structure solvers are considered as independent black-boxes that exchanges forces and displacements; the structure solvers are moreover not supposed to manage contact by themselves. The hypothesis of non-penetration among solid objects defines a non-convex optimization problem. To solve the latter, we use an internal approximation algorithm that is able to directly manage the cases of thin structures and self-contacts. A numerical simulation on an idealized aortic valve is finally realized with the aim of illustrating the proposed scheme.
Type de document :
Article dans une revue
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2009, 198 (45-46), pp.3603-3612. 〈10.1016/j.cma.2008.09.012〉
Liste complète des métadonnées

https://hal.inria.fr/inria-00542238
Contributeur : Jean-Frédéric Gerbeau <>
Soumis le : jeudi 2 décembre 2010 - 09:47:54
Dernière modification le : vendredi 31 août 2018 - 09:06:03

Lien texte intégral

Identifiants

Collections

Citation

Matteo Astorino, Jean-Frédéric Gerbeau, Olivier Pantz, Karim-Frédéric Traore. Fluid-structure interaction and multi-body contact. Application to aortic valves. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2009, 198 (45-46), pp.3603-3612. 〈10.1016/j.cma.2008.09.012〉. 〈inria-00542238〉

Partager

Métriques

Consultations de la notice

398