Carotid Artery Modeling Using the Navier-Stokes Equations for an Incompressible, Newtonian and Axisymmetric Flow

Abstract

This paper describes two-dimensional (2D) structural and hemodynamics model of the carotid artery and its bifurcation using computational software (CS). The Arbitrary Lagrangian Eulerian (ALE), which was introduced in a finite element system, was utilized as a numerical technique. The structural modeling of the carotid arteries about the bifurcation area was constructed from computed tomography (CT) scans using computer-aided design (CAD) and the Lagrangian formulation was used for the structural domain. The blood was considered as an incompressible Newtonian fluid, and Eulerian reference was applied for its domain. Coupling of the reference systems was carried out on arbitrary computational grid permitting numerical modeling of hemodynamics as governed by 2D axially symmetric incompressible Navier-Stokes equations (NSE). The results for hemodynamic simulations were compared with the physiological blood velocity obtained using the Doppler ultrasound instrument.