Rapid Blood Flow Computation on Digital Subtraction Angiography: Preliminary Results

Abstract

In this study, we simulate blood flow in complex geometries obtained by digital subtraction angiography (DSA) images. We represent the flow domain by a set of irregularly distributed nodes or uniform Cartesian embedded grid, and we numerically solve the non-stationary Navier-Stokes (N-S) equations, in their velocity-vorticity formulation, by using a meshless point collocation method. The spatial derivatives are computed with the discretization corrected particle strength exchange (DC PSE) method, a recently developed meshless interpolation method. For the transient term a fourth order Runge-Kutta time integration scheme is used.