### Abstract

Hemodynamic indicators such as the averaged wall shear stress (AWSS) and the oscillatory shear index (OSI) are well established to characterize areas of arterial walls with respect to the formation and progression of aneurysms. Here, we study two different forms for the wall shear stress vector from which AWSS and OSI are computed. One is commonly used as a generalization from the two-dimensional setting, the latter is derived from the full decomposition of the wall traction force given by the Cauchy stress tensor. We compare the influence of both approaches on hemodynamic indicators by numerical simulations under different computational settings. Namely, different (real and artificial) vessel geometries, and the influence of a physiological periodic inflow profile. The blood is modeled either as a Newtonian fluid or as a generalized Newtonian fluid with a shear rate dependent viscosity. Numerical results are obtained by using a stabilized finite element method. We observe profound differences in hemodynamic indicators computed by these two approaches, mainly at critical areas of the arterial wall.

Original language | English |
---|---|

Pages (from-to) | 113-122 |

Number of pages | 10 |

Journal | Computing and Visualization in Science |

Volume | 18 |

Issue number | 4-5 |

DOIs | |

Publication status | Published - 1 Aug 2017 |

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### Keywords

- Aneurysm
- Blood flow
- Generalized Newtonian model
- Oscillatory shear index
- Stabilized finite element method
- Wall shear stress

### ASJC Scopus subject areas

- Theoretical Computer Science
- Software
- Modelling and Simulation
- Engineering(all)
- Computer Vision and Pattern Recognition
- Computational Theory and Mathematics

### Cite this

*Computing and Visualization in Science*,

*18*(4-5), 113-122. https://doi.org/10.1007/s00791-017-0277-7

**On the influence of the wall shear stress vector form on hemodynamic indicators.** / John, L.; Pustějovská, P.; Steinbach, O.

Research output: Contribution to journal › Article › Research › peer-review

*Computing and Visualization in Science*, vol. 18, no. 4-5, pp. 113-122. https://doi.org/10.1007/s00791-017-0277-7

}

TY - JOUR

T1 - On the influence of the wall shear stress vector form on hemodynamic indicators

AU - John, L.

AU - Pustějovská, P.

AU - Steinbach, O.

PY - 2017/8/1

Y1 - 2017/8/1

N2 - Hemodynamic indicators such as the averaged wall shear stress (AWSS) and the oscillatory shear index (OSI) are well established to characterize areas of arterial walls with respect to the formation and progression of aneurysms. Here, we study two different forms for the wall shear stress vector from which AWSS and OSI are computed. One is commonly used as a generalization from the two-dimensional setting, the latter is derived from the full decomposition of the wall traction force given by the Cauchy stress tensor. We compare the influence of both approaches on hemodynamic indicators by numerical simulations under different computational settings. Namely, different (real and artificial) vessel geometries, and the influence of a physiological periodic inflow profile. The blood is modeled either as a Newtonian fluid or as a generalized Newtonian fluid with a shear rate dependent viscosity. Numerical results are obtained by using a stabilized finite element method. We observe profound differences in hemodynamic indicators computed by these two approaches, mainly at critical areas of the arterial wall.

AB - Hemodynamic indicators such as the averaged wall shear stress (AWSS) and the oscillatory shear index (OSI) are well established to characterize areas of arterial walls with respect to the formation and progression of aneurysms. Here, we study two different forms for the wall shear stress vector from which AWSS and OSI are computed. One is commonly used as a generalization from the two-dimensional setting, the latter is derived from the full decomposition of the wall traction force given by the Cauchy stress tensor. We compare the influence of both approaches on hemodynamic indicators by numerical simulations under different computational settings. Namely, different (real and artificial) vessel geometries, and the influence of a physiological periodic inflow profile. The blood is modeled either as a Newtonian fluid or as a generalized Newtonian fluid with a shear rate dependent viscosity. Numerical results are obtained by using a stabilized finite element method. We observe profound differences in hemodynamic indicators computed by these two approaches, mainly at critical areas of the arterial wall.

KW - Aneurysm

KW - Blood flow

KW - Generalized Newtonian model

KW - Oscillatory shear index

KW - Stabilized finite element method

KW - Wall shear stress

UR - http://www.scopus.com/inward/record.url?scp=85017409182&partnerID=8YFLogxK

U2 - 10.1007/s00791-017-0277-7

DO - 10.1007/s00791-017-0277-7

M3 - Article

VL - 18

SP - 113

EP - 122

JO - Computing and Visualization in Science

JF - Computing and Visualization in Science

SN - 1432-9360

IS - 4-5

ER -