Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refinement

Arterial fluid–structure interaction (FSI) computations involve a number of numerical challenges. Because blood flow is incompressible, iterative solution of the fluid mechanics part of the linear equation system at every nonlinear iteration of each time step is one of those challenges, especially f...

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Vydané v:	International journal for numerical methods in fluids Ročník 65; číslo 1-3; s. 135 - 149
Hlavní autori:	Manguoglu, Murat, Takizawa, Kenji, Sameh, Ahmed H., Tezduyar, Tayfun E.
Médium:	Journal Article Konferenčný príspevok..
Jazyk:	English
Vydavateľské údaje:	Chichester, UK John Wiley & Sons, Ltd 30.01.2011 Wiley
Predmet:	arterial fluid mechanics Biological and medical sciences boundary layer mesh refinement Computational methods in fluid dynamics Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) incompressible flows Medical sciences nested iterative schemes Neurology parallel sparse algorithms Physics preconditioning techniques Solid mechanics Structural and continuum mechanics Vascular diseases and vascular malformations of the nervous system Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) nested iterative schemes Parallel algorithm Nervous system diseases Refinement method Middle cerebral artery Iterative method Cardiovascular disease Fluid structure interaction incompressible flows Modeling boundary layer mesh refinement Blood flow Finite element method Vascular disease preconditioning techniques intracranial aneurysm parallel sparse algorithms Numerical simulation Incompressible fluid Hemodynamics Preconditioning Mesh generation arterial fluid mechanics
ISSN:	0271-2091, 1097-0363
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Popis
Shrnutí:	Arterial fluid–structure interaction (FSI) computations involve a number of numerical challenges. Because blood flow is incompressible, iterative solution of the fluid mechanics part of the linear equation system at every nonlinear iteration of each time step is one of those challenges, especially for computations over slender domains and in the presence of boundary layer mesh refinement. In this paper we address that challenge. As test cases, we use equation systems from stabilized finite element computation of a bifurcating middle cerebral artery segment with aneurysm, with thin layers of elements near the arterial wall. We show how the preconditioning techniques, we propose for solving these large sparse nonsymmetric systems, perform at different time steps of the computation over a cardiac cycle. We also present a new hybrid parallel sparse linear system solver ‘DD‐Spike’ and demonstrate its scalability. Copyright © 2010 John Wiley & Sons, Ltd.
Bibliografia:	ark:/67375/WNG-SBWRN40K-R ArticleID:FLD2415 istex:7050126032CB5036F5CB913ED94CA1A16F98137D
ISSN:	0271-2091 1097-0363
DOI:	10.1002/fld.2415