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.

中文翻译：

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主动脉瓣的简化 3D-0D FSI 模型，包括小叶曲率

在目前的工作中，我们提出了一种新颖的集总参数模型来描述主动脉瓣动力学，包括与小叶曲率相关的弹性效应。引入基于动量平衡的集总参数模型需要更容易校准参数模型，而在基于现象学的模型中，这些参数模型通常很多。该模型与描述血流的 3D Navier-Stokes 方程相结合，其中瓣膜表面由电阻方法表示，并考虑了瓣叶速度。由此产生的减少流固耦合问题的计算成本与规定运动流体动力学问题的解决方案相当。耦合问题的离散化采用SUPG-PSPG稳定有限元方案，