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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https://hal.inria.fr/inria-00136971
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Submitted on : Monday, March 19, 2007 - 4:09:51 PM
Last modification on : Wednesday, May 15, 2019 - 3:35:46 AM
Long-term archiving on : Tuesday, September 21, 2010 - 12:35:52 PM

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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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