Modeling 3D Flows in Arbitrarily Complex Domains with Deformable Immersed Boundaries: From Hydrodynamics to Biofluids

 

by

 

 

Fotis Sotiropoulos

 

 

Saint Anthony Falls Laboratory

University of Minnesota

 

 

Most flows of technological and/or biological significance take place in complex multi-connected domains with moving, flexible immersed boundaries, occur over a broad range of Reynolds numbers and flow regimes, and are dominated by large-scale, organized unsteadiness and vortex shedding.  I will discuss the challenges encountered in the numerical simulation of such flows and summarize recent progress toward the development of an advanced computational framework for predicting flows in complex, dynamically evolving domains.  I will describe numerical algorithms based on two modeling strategies: 1) domain decomposition with structured, boundary-conforming, overset grids; and 2) hybrid cartesian/immersed-boundary approach.  I will also address the issue of turbulence modeling and emphasize the promise of hybrid URANS/LES methodologies in simulations of complex engineering flows at real-life Reynolds numbers. I will present results from a broad range of applications in hydraulic engineering, cardiovascular fluid mechanics, insect flight aerodynamics, and aquatic locomotion.