Seminars are held Tuesdays and Thursdays in POB 6.304 from 3:30-5:00 pm, unless otherwise noted. Speakers include scientists, researchers, visiting scholars, potential faculty, and ICES/UT Faculty or staff. Everyone is welcome to attend. Refreshments are served at 3:15 pm.
ICES Seminar-Cardiovascular Simulation Series
Thursday, Jun 16, 2016 from 3:30PM to 4:30PM
Numerical modeling of fluid-porous structure interaction in arteries
by Rana Zakerzadeh
Center for Simulation and Modeling, University of Pittsburgh
Considering arterial wall as an elastic structure is a common assumption in Fluid-Structure Interaction simulations. However; it neglects realistic arterial wall model. In reality, arterial wall like other soft tissues is viscoelastic and it shows poroelastic behavior as well. The present study attempts to investigate the effect of both poroelasticity and tissue viscoelasticity on fluid-structure interaction in arteries and analyze the role of extracellular fluid flow in the apparent viscoelastic behavior of the arterial wall.
We discuss a computational framework for modeling multiphysics systems of coupled flow and mechanics problems via finite element method. Blood is modeled as an incompressible, viscous, Newtonian fluid using the Navier-Stokes equations and the arterial wall consists of a thick material which is modeled as the Biot system. Physically meaningful interface conditions are imposed on the discrete level via mortar finite elements or Nitsche's coupling. We discuss stability of the loosely coupled non-iterative time-split formulations and the use of the loosely coupled scheme as a preconditioner for the monolithic scheme. Energy estimates are derived for each constitutive model of the arterial wall from the weak formulation of the fluid/solid coupled problem and are applied to assess the distribution and dissipation of the energy delivered to the artery during one heart cycle. We further investigate the interaction of an incompressible fluid with a poroelastic structure featuring possibly large deformations. The numerical results investigate the effects of poroelastic parameters on the pressure wave propagation in arteries, filtration of incompressible fluids through the porous media, and the structure displacement.
Rana Zakerzadeh is currently a Ph.D. candidate in the Computational Modeling and Simulation program at the University of Pittsburgh, where she has developed an analytical/computational methodology for fluid-poroelastic structure interaction (FPSI) problems with application to the cardiovascular biomechanics. Rana obtained her B.Sc. and M.Sc. degrees in Biomedical Engineering from Amirkabir University of Technology, Iran in 2009 and 2011 respectively. She subsequently joined the Center for Simulation and Modeling (SaM) at the University of Pittsburgh for her Ph.D. research. Her main areas of research are fluid-structure interaction, numerical analysis and cardiovascular biomechanics.
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