Tuesday, July 11

Mathematical Modeling of Moving Interfaces Arising in Biomechanics

4:00 PM-6:00 PM
Rio Mar 5

Moving interfaces appear in many biomechanical applications, such as vocal fold oscillation during phonation, wall motion as blood flows through arteries, undulatory motion of a swimming creature, etc. A common feature is that the motion comes from the interaction of an elastic structure in contact with fluid flow. The speakers will present show analytical and computational methods in fluids and dynamical systems for modeling in two distinguished areas: (1) flow induced vocal fold oscillation and hysteresis due to the coupling of compressible airflow and finite mass elastic folds; (2) motion of flexible elastic membranes immersed in incompressible fluids. Both are intended for general audience.

Organizers: Jack Xin
University of Texas, Austin, USA
James M. Hyman
Los Alamos National Laboratory, USA
4:00-4:25 Immersed Interface Methods for Fluid Flow with Deforming Elastic Interfaces
Randy LeVeque, University of Washington, USA
4:30-4:55 A Continuum Fluid Model for Vocal Fold Oscillation: Derivation and Analysis
James M. Hyman, Los Alamos National Laboratory, USA; Y-Y. Qi, University of Arizona, USA; and Jack Xin, Organizer
5:00-5:25 A Simple Model and Simulations of Vocal Fold Oscillations
James M. Hyman, Organizer
5:30-5:55 Computation of Fast Immersed Boundary Motions
Ricardo Cortez, Tulane University, USA

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