### Abstract

Iterative solution of large sparse nonsymmetric linear equation systems is one of the numerical challenges in arterial fluid-structure interaction computations. This is because the fluid mechanics parts of the fluid + structure block of the equation system that needs to be solved at every nonlinear iteration of each time step corresponds to incompressible flow, the computational domains include slender parts, and accurate wall shear stress calculations require boundary layer mesh refinement near the arterial walls. We propose a hybrid parallel sparse algorithm, domain-decomposing parallel solver (DDPS), to address this challenge. As the test case, we use a fluid mechanics equation system generated by starting with an arterial shape and flow field coming from an FSI computation and performing two time steps of fluid mechanics computation with a prescribed arterial shape change, also coming from the FSI computation. We show how the DDPS algorithm performs in solving the equation system and demonstrate the scalability of the algorithm.

Original language | English |
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Pages (from-to) | 377-384 |

Number of pages | 8 |

Journal | Computational Mechanics |

Volume | 48 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2011 Sep |

### Fingerprint

### Keywords

- Arterial fluid mechanics
- Boundary layer mesh refinement
- Incompressible flow
- Nested iterative methods
- Parallel sparse algorithms
- Preconditioning techniques

### ASJC Scopus subject areas

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

### Cite this

*Computational Mechanics*,

*48*(3), 377-384. https://doi.org/10.1007/s00466-011-0619-0

**A parallel sparse algorithm targeting arterial fluid mechanics computations.** / Manguoglu, Murat; Takizawa, Kenji; Sameh, Ahmed H.; Tezduyar, Tayfun E.

Research output: Contribution to journal › Article

*Computational Mechanics*, vol. 48, no. 3, pp. 377-384. https://doi.org/10.1007/s00466-011-0619-0

}

TY - JOUR

T1 - A parallel sparse algorithm targeting arterial fluid mechanics computations

AU - Manguoglu, Murat

AU - Takizawa, Kenji

AU - Sameh, Ahmed H.

AU - Tezduyar, Tayfun E.

PY - 2011/9

Y1 - 2011/9

N2 - Iterative solution of large sparse nonsymmetric linear equation systems is one of the numerical challenges in arterial fluid-structure interaction computations. This is because the fluid mechanics parts of the fluid + structure block of the equation system that needs to be solved at every nonlinear iteration of each time step corresponds to incompressible flow, the computational domains include slender parts, and accurate wall shear stress calculations require boundary layer mesh refinement near the arterial walls. We propose a hybrid parallel sparse algorithm, domain-decomposing parallel solver (DDPS), to address this challenge. As the test case, we use a fluid mechanics equation system generated by starting with an arterial shape and flow field coming from an FSI computation and performing two time steps of fluid mechanics computation with a prescribed arterial shape change, also coming from the FSI computation. We show how the DDPS algorithm performs in solving the equation system and demonstrate the scalability of the algorithm.

AB - Iterative solution of large sparse nonsymmetric linear equation systems is one of the numerical challenges in arterial fluid-structure interaction computations. This is because the fluid mechanics parts of the fluid + structure block of the equation system that needs to be solved at every nonlinear iteration of each time step corresponds to incompressible flow, the computational domains include slender parts, and accurate wall shear stress calculations require boundary layer mesh refinement near the arterial walls. We propose a hybrid parallel sparse algorithm, domain-decomposing parallel solver (DDPS), to address this challenge. As the test case, we use a fluid mechanics equation system generated by starting with an arterial shape and flow field coming from an FSI computation and performing two time steps of fluid mechanics computation with a prescribed arterial shape change, also coming from the FSI computation. We show how the DDPS algorithm performs in solving the equation system and demonstrate the scalability of the algorithm.

KW - Arterial fluid mechanics

KW - Boundary layer mesh refinement

KW - Incompressible flow

KW - Nested iterative methods

KW - Parallel sparse algorithms

KW - Preconditioning techniques

UR - http://www.scopus.com/inward/record.url?scp=80052649239&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80052649239&partnerID=8YFLogxK

U2 - 10.1007/s00466-011-0619-0

DO - 10.1007/s00466-011-0619-0

M3 - Article

VL - 48

SP - 377

EP - 384

JO - Computational Mechanics

JF - Computational Mechanics

SN - 0178-7675

IS - 3

ER -