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

* Corresponding author
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.
keyword :
Document type :
Reports

Cited literature [37 references]

https://hal.inria.fr/inria-00300770
Contributor : Jean-Frédéric Gerbeau <>
Submitted on : Saturday, July 19, 2008 - 9:16:41 PM
Last modification on : Friday, March 27, 2020 - 2:55:50 AM
Long-term archiving on: : Monday, May 31, 2010 - 7:18:06 PM

### File

RR-6583.pdf
Files produced by the author(s)

### Identifiers

• HAL Id : inria-00300770, version 1

### Citation

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⟩

Record views