Fluid-structure interaction and multi-body contact: Application to aortic valves

  • Astorino M
  • Gerbeau J
  • Pantz O
 et al. 
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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 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. © 2008 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Cardiac valves
  • Contact
  • Fluid-structure interaction

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Authors

  • Matteo Astorino

  • J. F. Gerbeau

  • Olivier Pantz

  • K. F. Traoré

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