Wednesday, May 12

MS7
Numerical Methods on Multiscale Partial Differential Equations - Part I of III

(Invited Minisymposium)

(For Parts II and III, see MS20 and MS45)

4:00 PM-6:30 PM
Room: Capitol North

Many physical problems of fundamental and practical importance are described by partial differential equations that have solutions with significant behavior that occurs at different time and space scales. A complete mathematical analysis of these nonlinear problems is extremely difficult in general and therefore in most practical situations, accurate numerical modeling and simulations are highly desirable and even necessary. In this minisymposium, the speakers will discuss the modeling and numerical issues in multiscale problems that arise in schocastic and turbulent flows, materials, semiconductors, and related physical problems.

Organizers: Donald Estep and Shi Jin
Georgia Institute of Technology

4:00-4:25 Stochastic Fluid Dynamics

James G. Glimm and Brent Lindquist, State University of New York, Stony Brook

4:30-4:55 Passive Scalar Turbulence and Anomalous Diffusion

Shiyi Chen, Los Alamos National Laboratory

5:00-5:25 High-Order I-Stable Central Difference Schemes for Flows with High Reynolds Numbers

Weizhu Bao and Shi Jin, Georgia Institute of Technology

5:30-5:55 Finite Elements in Numerical Relativity

Douglas N. Arnold, Penn State University

6:00-6:25 Subgrid Upscaling of Two-Phase Flow in Porous Media

Todd Arbogast, The University of Texas, Austin

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LMH, 1/19/99, MMD, 1/26/98