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2007-08 Program on Random Media

Interface Problems Workshop

November 15-16, 2007

General Information
Application
Schedule

General Information

The Interface Problems Workshop for the SAMSI program on Random Media will be held on Thursday - Friday, November 15 - 16, 2007, at the Radisson Hotel RTP in Research Triangle Park, NC.

This workshop will concentrate on modeling, theory, numerical methods, statistics, and applications of interface problems including free boundary, moving interface problems and problems defined on irregular domains.

In many science and engineering problems, multiphase systems that involve moving interfaces and free boundaries are challenging from the perspective of both mathematical analysis and numerical simulations. One of the primary difficulties involves the coupling between evolution and geometry of the interface with the global dynamics of the bulk material. This coupling is often nonlinear and non-local. Singularities, such as discontinuity of material properties and physical quantities across the interface, and topological changes, such as merging and pinch-off, occur during the evolution. Further complications, such as surface diffusion, random media, and multiple scales, add to the challenges associated with these problems.

Recently there has been significant progress in both theory and numerical methods for moving interface problem. In this workshop, experts from a variety of backgrounds will address different aspects in modeling, theory, numerical methods and applications.


Workshop Program Committee: Thomas Beale (Duke University), Zhilin Li (North Carolina State University), Ralph Smith (North Carolina State University, SAMSI Directorate Liaison), Hongkai Zhao (Univ. of California-Irvine)

Confirmed and Invited Speakers:

J. Thomas Beale (Duke University)
Alina Chertock (North Carolina State University)
David Chopp (Northwestern University)
Robert Dillon (Washington State University)
Sigal Gottlieb (University of Massachusetts, Dartmouth)
Patrick Guidotti (Univ. of California-Irvine)
Guowei He (Iowa State University)
Shi Jin (University of Wisconsin-Madison)
Ping Lin (University of Dundee and National University of Singapore)
Ray Luo (Univ. of California-Irvine)
John Strain (Univ. of California-Berkeley)
Mark Sussman (Florida State University)
Richard Tsai (Univ. of Texas-Austin)
Jon Wilkening (Univ. of California-Berkeley)
Hongkai Zhao (Univ. of California-Irvine)

Application

On-line registrations are now closed. However, registrants are still welcome, please call SAMSI at (919)685-9350.

 

Schedule

Thursday, November 15, 2007
Radisson Hotel RTP

8:15-8:45 a.m. Contintental Breakfast and Registration
8:45 Welcoming Remarks
Ralph Smith (SAMSI)
9:00-9:35 Shi Jin, University of Wisconsin-Madison
Numerical Computation of High Frequency Waves through Interfaces
9:35-10:10 Jon Wilkening, University of California-Berkeley
Shape Optimization of Swimming Sheets
10:10-10:40 Coffee Break
10:40-11:15 Mark Sussman, Florida State University
Robust Elliptic Solver for Block Structured AMR
11:15-11:50 Ray Luo, University of California-Irvine
Scaling in Biomolecular Solvation: Are Proteins Large?
11:50-1:00 Lunch
1:00-1:35 Sigal Gottlieb, University of Massachusetts, Dartmouth
Strong Stability Preserving Time Discretizations
1:35-2:10 Ping Lin, University of Dundee (and National University of Singapore)
An Energy Law Perserving C0 Finite Element Scheme for a Phase Field Model of Two-Phase Flows
2:10-2:40 Coffee Break
2:40-3:15 Patrick Guidotti, University of California-Irvine
A Free Boundary Problem with Phase Onset
3:15-3:50 J. Thomas Beale, Duke University
Computing with Singular and Nearly Singular Integrals
3:50-4:20 Coffee Break
4:20-5:15 Discussion Session

Friday, November 16, 2007
Radisson Hotel RTP

8:30-9:00 Continental Breakfast and Registration
9:00-9:35 Hongkai Zhao
Grid Based Particle Method for Moving Interface Problem
9:35-10:10 John Strain, University of California-Berkeley
Elliptic Systems and Moving Interfaces
10:10-10:40 Coffee Break
10:40-11:15 Robert Dillon, Washington State University
An Integrative Model of Internal Axoneme Mechanics and External Fluid Dynamics in Sperm Motility
11:15-11:50 Guowei He, Iowa State University
A Hybrid Approach of Large-Eddy Simulation and Immersed Boundary for Flapping Wings at Moderate Reynolds Numbers
11:50-1:00 Lunch
1:00-1:35 David Chopp, Northwestern University
Modeling and Simulation of Bacterial Biofilms
1:35-2:10 Richard Tsai, University of Texas-Austin
Redistancing by Flow of Time Dependent Eikonal Equation
2:10-2:45 Alina Chertock, North Carolina State University
Interface-Tracking Method for Compressible Multifluids
2:45-3:15 Coffee Break
3:15-4:00 Discussion Sessions
4:00 Workshop adjourns

 




 
 

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