Fluid-structure interaction in arteries with a poroelastic wall model

Abstract

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.