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.
@article{M2AN_2008__42_6_961_0,
author = {Fern\'andez, Miguel A. and Gerbeau, Jean-Fr\'ed\'eric and Martin, Vincent},
title = {Numerical simulation of blood flows through a porous interface},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {42},
year = {2008},
pages = {961-990},
doi = {10.1051/m2an:2008031},
mrnumber = {2473316},
zbl = {1148.92017},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2008__42_6_961_0}
}
Fernández, Miguel A.; Gerbeau, Jean-Frédéric; Martin, Vincent. Numerical simulation of blood flows through a porous interface. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 42 (2008) pp. 961-990. doi : 10.1051/m2an:2008031. http://gdmltest.u-ga.fr/item/M2AN_2008__42_6_961_0/
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