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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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Matteo Astorino
• Function : Author
• PersonId : 851785
Jean-Frédéric Gerbeau

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Olivier Pantz
• Function : Author
• PersonId : 851786
Karim-Frédéric Traore
• Function : Author
• PersonId : 851787

#### 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.

#### Domains

Mathematics [math] Numerical Analysis [math.NA]

### 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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