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

Date

2011-01-30

Author

Manguoğlu, Murat
Sameh, Ahmed H.
Tezduyar, Tayfun E.

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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 (C) 2010 John Wiley & Sons, Ltd.

Subject Keywords

Mechanical Engineering, Mechanics of Materials, Applied Mathematics, Computational Mechanics, Computer Science Applications

URI

https://hdl.handle.net/11511/46611

Journal

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

DOI

https://doi.org/10.1002/fld.2415

Collections

Department of Computer Engineering, Article

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Citation Formats

M. Manguoğlu, A. H. Sameh, and T. E. Tezduyar, “Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refinement,” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, pp. 135–149, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46611.