Numerical Study on Blood Flow Modelling in Arteries

In order to prevent, diagnose and treat vascular disease, detailed knowledge of blood blow and the response of blood vessels is essential. The use of computer simulations can provide researchers extremely useful tool of the interpretation and analysis of the circulatory sysytem in both physiological and pathological situations. In this work, we present a 2D mathematical model to forecast for some cardivascular diseases such as stenosis and aneurysms geometry. We consider a blood flow based on Stokes and Navier Stokes equations (NSE). The finite element numerical solutions are obtained based on grad div stabilization. Numerical experiments will be presented in different geometries to verify almost all common practical knowledge