Numerical evaluation of the fluid dynamic forces acting over an Aortic aneurysm

The aim of the project is to develop a software that can be used to solve the cardiovascular flow inside the Aorta, this can be very useful in the medical investigation on the aneurism after the diagnosis. Visualize how the aneurism affect the blood flow inside the Aorta permit to plan with extreme accuracy the actions that has to be taken. This work will present a method to improve the accuracy and make more efficient the numerical evaluation of the force distribution on the surface of an Aorta affected by an aneurism. Fluid Dynamic forces will be evaluate over a complex geometry using immersed boundary method and octree grids. The advantages in terms of time and memory used, using an octree grid instead of a uniform cartesian grid are first investigate. After that we present and test two different methods to evaluate the force over an immersed body, The first consist in integrating the forces over the surface of the body, in the second case a control volume approach is used. The result will be compared and the method to be used will be chosen to evaluate the force distribution over an aneurism of the aorta. Preliminary simulation are then performed.