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

Abstract

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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.

How to cite

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Fernández, 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 -

References

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