NDLI: Pressure boundary conditions for blood flows

Content Provider	Springer Nature Link
Author	Gostaf, Kirill P. Pironneau, Olivier
Copyright Year	2015
Abstract	Simulations of blood flows in arteries require numerical solutions of fluidstructure interactions involving Navier-Stokes equations coupled with large displacement visco-elasticity for the vessels.Among the various simplifications which have been proposed, the surface pressure model leads to a hierarchy of simpler models including one that involves only the pressure. The model exhibits fundamental frequencies which can be computed and compared with the pulse. Yet unconditionally stable time discretizations can be constructed by combining implicit time schemes with Galerkin-characteristic discretization of the convection terms in the Navier-Stokes equations. Such problems with prescribed pressure on the walls will be shown to be efficient and accurate as an approximation of the full fluid structure interaction problem.
Starting Page	829
Ending Page	842
Page Count	14
File Format	PDF
ISSN	02529599
Journal	Chinese Annals of Mathematics, Series B
Volume Number	36
Issue Number	5
e-ISSN	18606261
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-08-07
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Fluid-structure interaction Compliant walls Finite element method Navier-Stokes equations Blood flow Shells Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods Stability and convergence of numerical methods Mathematics Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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