Towards large-scale three-dimensional blood flow simulations in realistic geometries

E-ISSN： 1270-900x|43|issue|195-212

ISSN： 1270-900x

Source： ESAIM: Proceedings, Vol.43, Iss.issue, 2013-12, pp. : 195-212

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Abstract

This paper addresses the numerical approximation of uid dynamics problems usingvarious finite element methods including high order methods and high order geometry. The paper isdivided in three parts. The first part concerns the various problem formulations and discretizationmethods we are interested in. Using the Stokes equations as model, several different types ofboundary conditions are presented and discussed. The second part deals with describing the highperformance framework Feel++ with which we obtained the various numerical results includingscalability studies. Finally we display numerical results: we start with convergence properties ofthe various formulations and associated discretization choices including high order geometries andwe finish with a Navier-Stokes simulation within the cerebral venous system.