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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
Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
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.
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Submitted on : Thursday, December 2, 2010 - 9:47:54 AM
Last modification on : Friday, March 27, 2020 - 3:38:31 AM

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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⟩



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