Abstract or Additional Information
Mathematical modeling and numerical simulations have been recognized as important tools for understanding human cardiovascular physiology and pathophysiology. We will discuss mathematical and computational models for the fluid-structure interaction (FSI) between blood flow and arterial walls. We describe the fluid flow by the Navier-Stokes equations for an incompressible viscous fluid, and we consider three cases for the structure problem: thin structure, composite structure, and poroelastic structure. The fluid and structure equations are coupled via the kinematic and dynamic coupling conditions, resulting in a nonlinear, moving boundary, FSI problem. To solve the problem numerically, we propose a partitioned numerical algorithm which is easlily applied to the three different cases. We will present stability and convergence results, supported by numerical examples.