  In the present work, we propose a novel lumped-parameter model for the
description of the aortic valve dynamics, including elastic effects associated
to the leaflets' curvature. The introduction of a lumped-parameter model based
on momentum balance entails an easier calibration of the parameter models, that
are instead typically numerous in phenomenological-based models. This model is
coupled with 3D Navier-Stokes equations describing the blood flow, where the
valve surface is represented by a resistive method, and valve leaflets velocity
is taken into consideration. The resulting reduced fluid-structure interaction
problem has a computational cost that is comparable with the solution of a
prescribed-motion fluid dynamics problem. A SUPG-PSPG stabilized finite element
scheme is adopted for the discretization of the coupled problem, and the
computational results show the suitability of the system in representing the
leaflets motion, the blood flow in the ascending aorta, and the pressure jump
across the leaflets.
