One Dimensional Modeling and Computation of Blood Flow and Pressure of a Stented Artery

Abstract

Blood flow in the large systemic artery is modeled using one-dimensional equations. Pulsatile 1-D Navier-Stokes solver incorporating fluid-wall interactions for a Newtonian fluid which predicts pressure and flow in the human artery is used for the numerical simulations. Blood flow and pressure in the artery is computed as functions of time and axial distance of the vessel. The blood flow is computed using two-step Lax-Wendroff scheme. This method is used only for constant coefficients one dimensional problem. This scheme is based on finite difference method. The methodology involves performing a parametric study to investigate the hemodynamics in a stenosed artery. Stenosis is the percentage of area reduction in a vessel. Blood flow perfusion to the downstream tissues is restored by expanding a stent in the stenotic region. Blood flow and pressure values are computed in the stented artery segment and the values compared with that of the normal artery.