Numerical modelling of shear-dependent mass transfer in large arteries

✍ Scribed by Gerhard Rappitsch; Karl Perktold; Elisabeth Pernkopf

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 272 KB
• Volume: 25
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19971015)25:7<847::aid-fld590>3.0.co;2-1

✦ Synopsis

A numerical scheme for the simulation of blood ¯ow and transport processes in large arteries is presented. Blood ¯ow is described by the unsteady 3D incompressible Navier±Stokes equations for Newtonian ¯uids; solute transport is modelled by the advection±diffusion equation. The resistance of the arterial wall to transmural transport is described by a shear-dependent wall permeability model. The ®nite element formulation of the Navier±Stokes equations is based on an operator-splitting method and implicit time discretization. The streamline upwindaPetrov±Galerkin (SUPG) method is applied for stabilization of the advective terms in the transport equation and in the ¯ow equations. A numerical simulation is carried out for pulsatile mass transport in a 3D arterial bend to demonstrate the in¯uence of arterial ¯ow patterns on wall permeability characteristics and transmural mass transfer. The main result is a substantial wall ¯ux reduction at the inner side of the curved region.