Geodesic
Numerical simulation of blood flows through a porous interface
Fernández, Miguel A. ; Gerbeau, Jean-Frédéric  ; Martin, Vincent1
1 University of Technology of Compiègne, LMAC, GI, Royallieu, BP 20529, 60205 Compiègne, France.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 6, pp. 961-990

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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.

DOI : 10.1051/m2an:2008031
Classification : 65M60, 74K25, 76D05, 76Z05
Keywords: stabilized finite element, sieve problem, blood flow, terminal aneurysm, stent, fluid-structure interaction

Fernández, Miguel A.  ; Gerbeau, Jean-Frédéric  ; Martin, Vincent 1

1 University of Technology of Compiègne, LMAC, GI, Royallieu, BP 20529, 60205 Compiègne, France. 
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     title = {Numerical simulation of blood flows through a porous interface},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {961--990},
     publisher = {EDP-Sciences},
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Fernández, Miguel A.; Gerbeau, Jean-Frédéric; Martin, Vincent. Numerical simulation of blood flows through a porous interface. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 6, pp. 961-990. doi: 10.1051/m2an:2008031

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