Mathematical Colloquium 
Interaction between a Fluid and Elastic and Poroelastic Materials with Applications to Blood Flow 

By  Martina Bukac 
From  Department of Applied & Computational Mathematics & Statistics University of Notre Dame 
When  Monday, October 16, 2017 4:00 pm 
Where  Weber 223 
Abstract  The interaction between a fluid, elastic structure, and poroelastic material plays a fundamental role in any biomedical applications. An example of such application is the interaction between blood, arterial wall, and blood clot. This multiphysics problem features three different types of coupling: fluidelastic structure coupling, fluidporoelastic material coupling, and elastic structureporoelastic material coupling, resulting in a fully coupled, nonlinear, moving boundary problem. As a consequence, numerical algorithms that split the fluid dynamics, structure mechanics, and poroelastic material dynamics are a natural choice. We propose stable, partitioned methods for the coupled problem. We present numerical tests where we investigate the effects of the material properties of the poroelastic medium on the fluid flow. Our findings indicate that the flow patterns highly depend on the storativity of the poroelastic material. 
Further Information 
James Liu 