### Abstract

A volume-penalizing immersed boundary method is presented that facilitates the computation of incompressible fluid flow in complex flow domains. We apply this method to simulate the flow in cerebral aneurysms, and focus on the accuracy with which the flow field and the corresponding shear stress field are computed. The method is applied to laminar, incompressible flow in curved cylindrical vessels and in a model aneurysm. The time-dependent shear stress distributions over the vessel walls are visualized and interpreted in terms of the flow fields that develop. We compute shear stress levels at two different Reynolds numbers, corresponding to a steady and an unsteady flow. In the latter situation strong fluctuations in the shear stress are observed, that may be connected to raised risk-levels of aneurysm rupture.

Original language | English |
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Title of host publication | Proceedings of the V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010 |

Editors | J.C.F. Pereira, A. Sequeira, J.M.C. Pereira |

Place of Publication | Lisbon |

Publisher | Technical University of Lisbon |

Number of pages | 12 |

ISBN (Print) | 978-989-96778-1-4 |

Publication status | Published - Jun 2010 |

Event | 5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010 - Lisbon, Portugal Duration: 14 Jun 2010 → 17 Jun 2010 Conference number: 5 |

### Conference

Conference | 5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010 |
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Abbreviated title | ECCOMAS ECFD 2010 |

Country | Portugal |

City | Lisbon |

Period | 14/06/10 → 17/06/10 |

### Keywords

- Volume penalization
- Shear stress
- Immersed boundary method
- Cerebral aneurysm
- Incompressible flow

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## Cite this

Mikhal, J. O., Pereira, J. C. F. (Ed.), Sequeira, A. (Ed.), Lopez Penha, D. J., Slump, C. H., Pereira, J. M. C. (Ed.), ... Borges, L. (Ed.) (2010). Immersed boundary method predictions of shear stresses for different flow topologies occuring in cerebral aneurysms. In J. C. F. Pereira, A. Sequeira, & J. M. C. Pereira (Eds.),

*Proceedings of the V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010*[01156] Lisbon: Technical University of Lisbon.