A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis
We investigate a one dimensional model of blood flow in human arteries. In particular we consider the case when an abrupt variation of the mechanical characteristic of an artery is caused by the presence of a vascular prosthesis (e.g. a stent). The derivation of the model and the numerical scheme adopted for its solution are detailed. Numerical experiments show the effectiveness of the model for the problem at hand.
Unable to display preview. Download preview PDF.
- 2.S. Canic. On the shock formation in pulsaltile blood flow through a ”stented” aorta modeled by a system of hyperbolic conservation laws with discontinuous coefficients. (In Preparation), 2000.Google Scholar
- 3.L. Formaggia, J.-F. Gerbeau, F. Nobile, and A.Quarteroni. On the coupling of 3D and ID Navier-Stokes equations for flow problems in compliant vessels. Technical Report 3862, INRIA, 2000. to appear in Comp. Methods in Appl. Mech. Engng.Google Scholar
- 4.E. Godlewski and P.-A. Raviart. Numerical approximation of hyperbolic systems of conservation laws, volume 118 of Applied Mathematical Sciences. Springer, New York, 1996.Google Scholar
- 9.F. Phythoud, N. Stergiopulos, and J.-J. Meister. Forward and backward waves in the arterial system: nonlinear separation using Riemann invariants. Technology and Health Care, 3:201–207, 1995.Google Scholar