Comparing different numerical methods for solving arterial 1D flows in networks

Simulating the flow in an arterial tree is a challenging problem. Many authors (since for example [7]) have succeeded in simulating an arterial tree with a monodimensional (1D) approach or integral approach, among them [5] and recently [1,6]. The two later [1] and [6] compared successfully an experimental realistic visco elastic model of tubes and such 1D models. Here, we emphasize on the numerical methods and we will simulate results of [6] as test case.