Wednesday July 27/8:00
MS31/Seabreeze
Effective Numerical Methods for Computing Incompressible Fluid Interfaces
In this minisymposium, the speakers will present several effective numerical techniques based on a new levelset formulation for computing incompressible fluid interfaces with surface tension. The interface problems they will discuss include water waves, boundaries between immiscible fluids, solidification, and Hele-Shaw flows. These problems are very singular and have complex solution structures. The motion of these free interfaces is strongly mediated by surface tension. The speakers will present numerical studies of propagation of free interfaces with triple junctions, merging and break-up of incompressible fluid bubbles, motion of air bubbles in water and falling water drops in air. They will also present numerical study of directional solidification problems.
Organizer: Thomas Y. Hou
California Institute of Technology
- 8:00 : Motion of Multiple Junctions: A Level Set Approach
Barry Merriman, James K. Bence, and Stanley Osher, University of California, Los Angeles
- 8:30: A Level Set Formulation for Interfacial Fluid Flows with Surface Tension
Yu-Chung Chang, California Institute of Technology; Thomas Y. Hou, Organizer; Barry Merriman and Stanley Osher, University of California, Los Angeles
- 9:00: A Numerical Algorithm for Rapid Simulation of Rapid Solidification
Daniel Meiron and Beth Wedeman, California Institute of Technology
- 9:30: A Level Set Approach to Computing Solutions to Incompressible Two-Fluid Flows
Mark Sussman, Stanley Osher, and Peter Smereka, University of California, Los Angeles