Numerical simulation of blood flows through a porous interface

Miguel Angel Fernández 1 Jean-Frédéric Gerbeau 1 Vincent Martin 2
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 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.
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Rapport
[Research Report] RR-6146, INRIA. 2007, pp.30
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https://hal.inria.fr/inria-00136971
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Soumis le : lundi 19 mars 2007 - 16:09:51
Dernière modification le : lundi 29 mai 2017 - 14:23:11
Document(s) archivé(s) le : mardi 21 septembre 2010 - 12:35:52

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  • HAL Id : inria-00136971, version 2

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Miguel Angel Fernández, Jean-Frédéric Gerbeau, Vincent Martin. Numerical simulation of blood flows through a porous interface. [Research Report] RR-6146, INRIA. 2007, pp.30. <inria-00136971v2>

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