Wednesday July 27/8:00


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