### Abstract

Computation of incompressible flows in arterial fluid mechanics, especially because it involves fluid-structure interaction, poses significant numerical challenges. Iterative solution of the fluid mechanics part of the equation systems involved is one of those challenges, and we address that in this paper, with the added complication of having boundary layer mesh refinement with thin layers of elements near the arterial wall. As test case, we use matrix data from stabilized finite element computation of a bifurcating middle cerebral artery segment with aneurysm. It is well known that solving linear systems that arise in incompressible flow computations consume most of the time required by such simulations. For solving these large sparse nonsymmetric systems, we present effective preconditioning techniques appropriate for different stages of the computation over a cardiac cycle.

Original language | English |
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Pages (from-to) | 83-89 |

Number of pages | 7 |

Journal | Computational Mechanics |

Volume | 46 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2010 Jun |

Externally published | Yes |

### Keywords

- Arterial fluid mechanics
- Boundary layer mesh refinement
- Incompressible flows
- Nested iterative schemes
- Preconditioning techniques

### ASJC Scopus subject areas

- Computational Mechanics
- Ocean Engineering
- Mechanical Engineering
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics

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## Cite this

*Computational Mechanics*,

*46*(1), 83-89. https://doi.org/10.1007/s00466-009-0426-z