Two-dimensional Aorta's outflow boundary condition computed using 2-elements Windkessel model.

Computational fluid dynamics (CFD) is an engineering field for analyzing fluid flow, heat transfer, and associated phenomena, using computer-based simulation. CFD is a widely adopted methodology for solving complex problems in many modern engineering fields. Industries like Aerospace, automotive, chemical, power and bio-medical rely heavily on CFD for design, analysis and even for service & maintenance of Mechatronic systems. The purpose of this thesis is to evaluate hemodynamic of the abdominal Aorta through computational fluid dynamic analysis. In the following chapters we will appreciate a bio-medical application as the blood flowing in the Aorta. As known Navier-Stokes equations need boundary condition to be solved hence the numerical value to impose is unknown a priori but appropriate BC can be found via Windkessel model. In particular a 2-elements Windkessel model has been implemented and imposed on the outflow sides of the numerical domain. Such model is quiet common in this kind of application for biomedical engineering problem, this provides a relationship between pressure and velocity in a vessel, considering the physiological heart pumping phenomena. To discretize ODE's equation that make up the previous model, both Eulerian and multi-step method (second order Rounge-Kutta) have been applied . Future applications can be a natural three-dimensional extension of the domain and application to real test case using vessel reconstruction starting from heart scan such as computed tomography (CT) and magnetic resonance (MR) imaging.