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Numerical simulation of blood flows through a porous interface

Published online by Cambridge University Press:  12 August 2008

Miguel A. Fernández,
Jean-Frédéric Gerbeau and
Vincent Martin
Miguel A. Fernández
Affiliation:
INRIA Paris-Rocquencourt, BP 105, 78153 Le Chesnay, France. Miguel.Fernandez@inria.fr; Jean-Frederic.Gerbeau@inria.fr
Jean-Frédéric Gerbeau
Affiliation:
INRIA Paris-Rocquencourt, BP 105, 78153 Le Chesnay, France. Miguel.Fernandez@inria.fr; Jean-Frederic.Gerbeau@inria.fr
Vincent Martin
Affiliation:
University of Technology of Compiègne, LMAC, GI, Royallieu, BP 20529, 60205 Compiègne, France. Vincent.Martin@utc.fr
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Abstract

We propose a model for a medical device, called a stent, designed for the treatment of cerebral aneurysms. The stent consists of a grid, immersed in the blood flow and located at the inlet of the aneurysm. It aims at promoting a clot within the aneurysm. The blood flow is modelled by the incompressible Navier-Stokes equations and the stent by a dissipative surface term. We propose a stabilized finite element method for this model and we analyse its convergence in the case of the Stokes equations. We present numerical results for academical test cases, and on a realistic aneurysm obtained from medical imaging.

Keywords

Stabilized finite elementsieve problemblood flowterminal aneurysmstentfluid-structure interaction.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 42 , Issue 6 , November 2008, pp. 961 - 990
Copyright
© EDP Sciences, SMAI, 2008

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