HAL - INRIA :: [inria-00300770, version 1] Fluid-Structure Interaction and multi-body contact. Application to the aortic valves

inria-00300770, version 1

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

Matteo Astorino (

)^a^, 1, Jean-Frédéric Gerbeau (

http://www-rocq.inria.fr/who/Jean-Frederic.Gerbeau/

)^a^, 1, Olivier Pantz (

)^b^, 2, Karim-Frédéric Traore (

)^a^, 1

(2008)

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Abstract: 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.

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

Domain

Mathematics/Numerical Analysis

Keywords : fluid-structure interaction – contact – cardiac valves

Internal note : RR-6583


inria-00300770, version 1
http://hal.inria.fr/inria-00300770/en/
oai:hal.inria.fr:inria-00300770_v1
From: Jean-Frédéric Gerbeau <>
Submitted on: Saturday, 19 July 2008 21:16:41
Updated on: Wednesday, 23 July 2008 13:46:32