Modeling blood flow in networks of viscoelastic vessels with the 1-D augmented fluid–structure interaction system

A noteworthy aspect in blood flow modeling is the definition of mechanical interaction between fluid and biological structure that contains it, namely vessel wall. Particularly, it has been demonstrated addition a viscous contribution to characterization vessels brings positive results when compared in-vivo measurements. In this context, numerical implementation boundary conditions able keep memory viscoelastic walls assumes an important role, especially dealing with large circulatory systems. work, viscoelasticity taken into account entire networks via Standard Linear Solid Model. The at boundaries (inlet, outlet junctions), carried out considering hyperbolic nature mathematical model. Specifically, non-linear system established based on Riemann Problem junctions, characterized by rarefaction waves separated contact discontinuities, among which mass total energy are conserved. Basic junction tests analyzed, such as trivial 2–vessels junction, for both generic artery vein, simple 3–vessels aortic bifurcation scenario. chosen asymptotic-preserving IMEX Runge-Kutta Finite Volume scheme be second-order accurate whole domain well-balanced, even including junctions. Two different benchmark models arterial network then implemented, differing number parameters. Comparison obtained two underlines high sensitivity model these tests, conservation provided assessed network, junctions conditions.