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.
Keywords: stabilized finite element, sieve problem, blood flow, terminal aneurysm, stent, fluid-structure interaction
Fernández, Miguel A. ; Gerbeau, Jean-Frédéric ; Martin, Vincent 1
@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: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {961--990},
year = {2008},
publisher = {EDP Sciences},
volume = {42},
number = {6},
doi = {10.1051/m2an:2008031},
mrnumber = {2473316},
zbl = {1148.92017},
language = {en},
url = {https://www.numdam.org/articles/10.1051/m2an:2008031/}
}
TY - JOUR AU - Fernández, Miguel A. AU - Gerbeau, Jean-Frédéric AU - Martin, Vincent TI - Numerical simulation of blood flows through a porous interface JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2008 SP - 961 EP - 990 VL - 42 IS - 6 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/m2an:2008031/ DO - 10.1051/m2an:2008031 LA - en ID - M2AN_2008__42_6_961_0 ER -
%0 Journal Article %A Fernández, Miguel A. %A Gerbeau, Jean-Frédéric %A Martin, Vincent %T Numerical simulation of blood flows through a porous interface %J ESAIM: Modélisation mathématique et analyse numérique %D 2008 %P 961-990 %V 42 %N 6 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/m2an:2008031/ %R 10.1051/m2an:2008031 %G en %F M2AN_2008__42_6_961_0
Fernández, Miguel A.; Gerbeau, Jean-Frédéric; Martin, Vincent. Numerical simulation of blood flows through a porous interface. ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 6, pp. 961-990. doi: 10.1051/m2an:2008031
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