In this contribution we consider cardiovascular hemodynamic modelling in patient-specific artery branches. To this aim, we first propose a procedure based on non-uniform rational basis splines (NURBS) to parametrise 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 modelling between efficiency and accuracy, as shown by the good performances obtained in the numerical assessment of the last section.

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

Y. A. Brandes Costa Barbosa;S. Perotto
2020-01-01

Abstract

In this contribution we consider cardiovascular hemodynamic modelling in patient-specific artery branches. To this aim, we first propose a procedure based on non-uniform rational basis splines (NURBS) to parametrise 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 modelling between efficiency and accuracy, as shown by the good performances obtained in the numerical assessment of the last section.
2020
hierarchical model reduction, isogeometric analysis, patient-specific geometry
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1158819
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