Immersed Methods for Fluid-Structure Interaction

Explore advanced fluid-structure interaction modeling techniques in this seminar presented by Professor Boyce Griffith from the University of North Carolina. Delve into the immersed boundary (IB) method, a framework for modeling systems where elastic structures interact with viscous incompressible fluids. Discover the fundamental features of the IB approach, including its combination of Eulerian formulation for momentum equations and Lagrangian description for structural deformations. Learn about three key extensions of the IB method: an approach for large-deformation nonlinear elasticity models, an extension using peridynamics for simulating soft material failure, and a reformulation enabling accurate fluid-structure coupling through the immersed interface method. Gain insights into efficient numerical methods for finite element structural models in large-scale simulations, with examples focusing on heart and valve models. Explore computational examples demonstrating grid-independent predictions of fluid-driven soft material failure and the ability to simulate a wide range of fluid-structure mass density ratios without artificial added mass instabilities. Examine biomedical applications of these methodologies, including models of clot capture by inferior vena cava filters.