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Numerical modelling of shear‐dependent mass transfer in large arteries
Author(s) -
Rappitsch Gerhard,
Perktold Karl,
Pernkopf Elisabeth
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19971015)25:7<847::aid-fld590>3.0.co;2-1
Subject(s) - mechanics , discretization , pulsatile flow , newtonian fluid , turbulence , compressibility , navier–stokes equations , finite element method , mathematics , physics , mathematical analysis , thermodynamics , medicine , cardiology
A numerical scheme for the simulation of blood flow and transport processes in large arteries is presented. Blood flow is described by the unsteady 3D incompressible Navier–Stokes equations for Newtonian fluids; 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 finite element formulation of the Navier–Stokes equations is based on an operator‐splitting method and implicit time discretization. The streamline upwind/Petrov–Galerkin (SUPG) method is applied for stabilization of the advective terms in the transport equation and in the flow equations. A numerical simulation is carried out for pulsatile mass transport in a 3D arterial bend to demonstrate the influence of arterial flow patterns on wall permeability characteristics and transmural mass transfer. The main result is a substantial wall flux reduction at the inner side of the curved region. © 1997 John Wiley & Sons, Ltd.