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Fluid-Structure Interaction and multi-body contact. Application to the aortic valves

Matteo Astorino 1, Jean-Frédéric Gerbeau (  Auteur à contacter de préférence ) 1, Olivier Pantz 2, Karim-Frédéric Traore 1

(2008)

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 exchange 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 handle 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.

1 :	REO (INRIA Paris-Rocquencourt)
	INRIA – Laboratoire Jacques-Louis Lions
2 :	Centre de Mathématiques Appliquées (CMAP)
	CNRS : UMR7641 – Université de Versailles Saint-Quentin-en-Yvelines – Polytechnique - X

Domaine

:

Mathématiques/Analyse numérique

Mots-clés : fluid-structure interaction – contact – cardiac valves

inria-00300770, version 1

http://hal.inria.fr/inria-00300770

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Contributeur : Jean-Frédéric Gerbeau <>

Soumis le : Samedi 19 Juillet 2008, 21:16:41

Dernière modification le : Mercredi 23 Juillet 2008, 13:46:32