Numerical modelling of the pressure wave propagation in the arterial flow

Abstract

Abstract A differential model of blood flow through an arterial vessel is presented. It consists of a one‐dimensional model describing the non‐linear fluid–wall interaction coupled with a simple lumped parameter model which accounts for outlet boundary conditions. The model includes a local stiffening of the vessel and the wave propagation of disturbances due to prosthetic implantations is also studied. The non‐linear problem is solved by a finite‐difference method on a staggered grid and some numerical simulations are analysed and discussed. Copyright © 2003 John Wiley & Sons, Ltd.