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Journal Articles ESAIM: Mathematical Modelling and Numerical Analysis Year : 2008

Numerical simulation of blood flows through a porous interface

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.

Dates and versions

hal-00701783 , version 1 (26-05-2012)

Identifiers

Cite

Miguel Angel Fernández, Jean-Frédéric Gerbeau, Vincent Martin. Numerical simulation of blood flows through a porous interface. ESAIM: Mathematical Modelling and Numerical Analysis, 2008, 42 (6), pp.961-990. ⟨10.1051/m2an:2008031⟩. ⟨hal-00701783⟩
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