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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Veröffentlicht in:International journal for numerical methods in fluids Jg. 65; H. 1-3; S. 135 - 149
Hauptverfasser: Manguoglu, Murat, Takizawa, Kenji, Sameh, Ahmed H., Tezduyar, Tayfun E.
Format: Journal Article Tagungsbericht
Sprache:Englisch
Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 30.01.2011
Wiley
Schlagworte:
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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Zusammenfassung: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.
Bibliographie:ark:/67375/WNG-SBWRN40K-R
ArticleID:FLD2415
istex:7050126032CB5036F5CB913ED94CA1A16F98137D
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.2415