Document
Services
BibSonomy
CiteUlike
Connotea
Del.icio.us
Digg
Facebook
|
||||||||||||||||||
ESAIM: M2AN 42 (2008) 961-990
DOI: 10.1051/m2an:2008031
Numerical simulation of blood flows through a porous interface
Miguel A. Fernández1, Jean-Frédéric Gerbeau1 and Vincent Martin21 INRIA Paris-Rocquencourt, BP 105, 78153 Le Chesnay, France. Miguel.Fernandez@inria.fr; Jean-Frederic.Gerbeau@inria.fr
2 University of Technology of Compiègne, LMAC, GI, Royallieu, BP 20529, 60205 Compiègne, France. Vincent.Martin@utc.fr
Received February 5, 2007. Published online August 12, 2008.
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.
Mathematics Subject Classification. 65M60, 74K25, 76D05, 76Z05.
Key words: Stabilized finite element, sieve problem, blood flow, terminal aneurysm, stent, fluid-structure interaction.
© EDP Sciences, SMAI 2008
| What is OpenURL? |
The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
- If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
- You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
- You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.