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

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.