# Numerical simulation of blood flows through a porous interface

Miguel A. Fernández; Jean-Frédéric Gerbeau; Vincent Martin

ESAIM: Mathematical Modelling and Numerical Analysis (2008)

- Volume: 42, Issue: 6, page 961-990
- ISSN: 0764-583X

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topFernández, Miguel A., Gerbeau, Jean-Frédéric, and Martin, Vincent. "Numerical simulation of blood flows through a porous interface." ESAIM: Mathematical Modelling and Numerical Analysis 42.6 (2008): 961-990. <http://eudml.org/doc/250387>.

@article{Fernández2008,

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.
},

author = {Fernández, Miguel A., Gerbeau, Jean-Frédéric, Martin, Vincent},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Stabilized finite element; sieve problem; blood flow;
terminal aneurysm; stent; fluid-structure interaction.; stabilized finite element; terminal aneurysm; fluid-structure interactions; quasi-Poiseuille flow},

language = {eng},

month = {8},

number = {6},

pages = {961-990},

publisher = {EDP Sciences},

title = {Numerical simulation of blood flows through a porous interface},

url = {http://eudml.org/doc/250387},

volume = {42},

year = {2008},

}

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: Mathematical Modelling and Numerical Analysis

DA - 2008/8//

PB - EDP Sciences

VL - 42

IS - 6

SP - 961

EP - 990

AB -
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.

LA - eng

KW - Stabilized finite element; sieve problem; blood flow;
terminal aneurysm; stent; fluid-structure interaction.; stabilized finite element; terminal aneurysm; fluid-structure interactions; quasi-Poiseuille flow

UR - http://eudml.org/doc/250387

ER -

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