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Reports (Research Report) Year : 2008

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

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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.
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Dates and versions

inria-00300770 , version 1 (19-07-2008)

Identifiers

  • HAL Id : inria-00300770 , version 1

Cite

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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