Remarks on Fluid‐Structure Interaction Simulations in Realistic Arterial Geometries with regard to the Transmural Stress Distribution

Abstract

AbstractIn this contribution, Fluid‐Structure‐Interaction (FSI) in blood vessels, in detail the simulation of realistic arterial geometries, where the interaction of the blood flow and the vessel wall is of special interest, is considered. Based on pervious research, cf. [1], our existing framework for FSI‐simulations is extended towards realistic arterial geometries. The inflow and outflow boundary conditions for the fluid, as well as the boundary conditions for the structure are enhanced and adjusted to the chosen patient‐specific geometry. In detail, an inflow profile for arbitrary shaped inflow cross‐sections and a zero pressure boundary condition at the outflow are applied. Furthermore, the vessel wall is discretized using realistic material parameters of the media layer. The geometry and material parameters are adopted from [2]. In order to deal with the increasing complexity of the boundary value problem parallel computing and a two‐level overlapping Schwarz method with energy‐minimizing coarse space are applied; cf. [3]. The numerical simulations are performed using the Open‐Source software LifeV, in particular a code which has been developed in cooperation with the group of Prof. Quarteroni from the EPF Lausanne.