Numerical modelling of the pressure wave propagation in the arterial flow

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.