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

Matteo Astorino 1 Jean-Frédéric Gerbeau 1, * Olivier Pantz 2 Karim-Frédéric Traore 1
* Auteur correspondant
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
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.
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Rapport
[Research Report] RR-6583, INRIA. 2008, pp.23
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Matteo Astorino, Jean-Frédéric Gerbeau, Olivier Pantz, Karim-Frédéric Traore. Fluid-Structure Interaction and multi-body contact. Application to the aortic valves. [Research Report] RR-6583, INRIA. 2008, pp.23. 〈inria-00300770〉

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