Hierarchically reduced models for the Stokes problem in patient-specific artery segments

Keywords

Advanced Numerical Methods for Scientific Computing
Computational Medicine for the Cardiocirculatory System
Code:
15/2019
Title:
Hierarchically reduced models for the Stokes problem in patient-specific artery segments
Date:
Friday 31st May 2019
Author(s):
Brandes Costa Barbosa, Y. A.; Perotto, S.
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Abstract:
In this contribution we consider cardiovascular hemodynamic modeling in patient-specific artery branches. To this aim, we first propose a procedure based on non-uniform rational basis splines (NURBS) to parametrize the artery volume which identifies the computational domain. Then, we adopt an isogeometric hierarchically reduced model which suitably combines separation of variables with a different discretization of the principal and of the secondary blood dynamics. This ensures the trade-off desired in numerical modeling between efficiency and accuracy, as shown by the good performances obtained in the numerical assessment of the last section.