Tuesday, July 15

10:30 AM-12:30 PM
Building 320, Room 105

MS21
Effective Numerical Methods for Free Boundary Problems (Part I of II)

Many physically interesting problems involve propagation of free surfaces. Multi-phase flows, crystal growth and solidification are some of these examples. Numerical solutions of these problems play an important role in understanding the underlying physical mechanism.

Two basic approaches are commonly used in solving these problems numerically. One is based on front-tracking, the other on front-capturing. They both have their advantages and disadvantages. Front-tracking usually provides a better resolution to the free surface. Front-capturing is more robust in handling complicated geometry in the free surface.

This symposium intends to bring together experts from these two schools and present some recent developments in these areas. Physical modeling, mathematical analysis, new fast algorithms, and various physical applications will be discussed.

Organizers: Thomas Y. Hou, California Institute of Technology; Hongkai Zhao, Stanford University; and Xiaolin Li, Indiana University-Purdue University, Indianapolis

10:30 Recent Results for Front Tracking in 2D and 3D

James Glimm, State University of New York, Stony Brook

11:00 Level Set Methods for Multiphase Flow

Barry Merriman, University of California, Los Angeles

11:30 Chemical Front Propagation in a Hele-Shaw Flow

Jingyi Zhu, University of Utah

12:00 Removing the Stiffness from 3-D Interfacial Flows with Surface Tension

Thomas Y. Hou, Organizer

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