Numerical simulation of blood flows through a porous interface
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
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