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Numerical simulation of blood flows through a porous interface

Miguel Angel Fernández 1 Jean-Frédéric Gerbeau 1 Vincent Martin 1, 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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Submitted on : Saturday, May 26, 2012 - 3:16:38 PM
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Miguel Angel Fernández, Jean-Frédéric Gerbeau, Vincent Martin. Numerical simulation of blood flows through a porous interface. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2008, 42 (6), pp.961-990. ⟨10.1051/m2an:2008031⟩. ⟨hal-00701783⟩



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