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Issue ESAIM: M2AN Volume 42, Number 6, November-December 2008 Page(s) 961 - 990 DOI 10.1051/m2an:2008031 Published online 12 August 2008

ESAIM: M2AN 42 (2008) 961-990
DOI: 10.1051/m2an:2008031

Numerical simulation of blood flows through a porous interface

Miguel A. Fernández¹, Jean-Frédéric Gerbeau¹ and Vincent Martin<sup>2

1</sup>  INRIA Paris-Rocquencourt, BP 105, 78153 Le Chesnay, France. Miguel.Fernandez@inria.fr; Jean-Frederic.Gerbeau@inria.fr
²  University of Technology of Compiègne, LMAC, GI, Royallieu, BP 20529, 60205 Compiègne, France. Vincent.Martin@utc.fr

Received February 5, 2007. Published online August 12, 2008.

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.

Mathematics Subject Classification. 65M60, 74K25, 76D05, 76Z05.

Key words: Stabilized finite element, sieve problem, blood flow, terminal aneurysm, stent, fluid-structure interaction.


© EDP Sciences, SMAI 2008

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