# Applied Mathematics Colloquium

### Dr. Martina Bukac, University of Pittsburgh

Location

Mathematics/Psychology : 104

Date & Time

February 10, 2014, 12:00 pm – 1:00 pm

Description

Abstract: 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 easily applied to the three different cases. We will present stability and convergence results, supported by numerical examples.

Room: Mathematics/Psychology 104