基于孔弹性壁模型的动脉流固相互作用

Rana Zakerzadeh, P. Zunino
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引用次数: 9

摘要

这项工作的目的是模拟搏动血流和动脉壁之间的相互作用。我们将动脉中的血流建模为一种不可压缩的粘性流体,具有牛顿流变学,受用Biot方程建模的孔弹性动脉壁的限制。提出了流固耦合问题的松耦合求解策略,可以分别求解Navier-Stokes方程和Biot方程。通过这种方式,我们将原始问题分解为两个部分,这些部分定义在不同的子区域上。最后,利用分割格式作为单片法的前置条件,使数值解的计算更加精确。数值模拟结果与理论结果相吻合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fluid-structure interaction in arteries with a poroelastic wall model
The objective of this work is modeling the interaction between pulsatile blood flow and arterial walls. We model blood flow in arteries as an incompressible viscous fluid with Newtonian rheology, confined by a poroelastic arterial wall modeled with the Biot equations. We propose loosely coupled solution strategy of the fluid-structure interaction problem, which allows solving the Navier-Stokes and Biot equations separately. In this way, we uncouple the original problem into two parts defined on separate subregions. At the end, the partitioned scheme is exploited as a preconditioner for the monolithic method, leading to a more accurate calculation of the numerical solution. The theoretical results are complemented by numerical simulations.
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