Friday, July 18

10:30 AM-12:30 PM
Kresge Auditorium

MS79
Cartesian Grid Methods for PDEs in Complex Geometry (Part I of II)

"Cartesian grid methods" are becoming increasingly popular for solving partial differential equations in more than one space dimension on uniform Cartesian grids (perhaps adaptively refined) even when the underlying geometry is complex and not aligned with the grid. This has a number of advantages over other approaches such as body-fitted grids or unstructured triangulations, particularly for problems in three space dimensions, or where there is a moving/deforming boundary or interface. The difficulties of grid generation are largely avoided while accurate and efficient methods are easily applied over most of the grid, provided the boundary or interface conditions can be properly imposed. This minisymposium presents a spectrum of different approaches to this problem on a variety of applications.

This is an active area of research, with ties to many different applications areas represented in SIAM. We expect a very interesting exchange of ideas through this minisymposium.

Organizers: Randall J. LeVeque, University of Washington; and Marsha J. Berger, Courant Institute of Mathematical Sciences, New York University

10:30 Adaptive Cartesian Methods for Moving-Geometry Problems in Aerodynamics and Cell Biology

Kenneth Powell, Grenmarie Agresar, and Sami Bayyuk, University of Michigan, Ann Arbor

11:00 A Cartesian Grid General Geometry Flow Solver With Design Optimization

David P. Young, Robin G. Melvin, William P. Huffman, Forrester T. Johnson, and Craig L. Hilmes, The Boeing Company

11:30 Cartesian Grids and the Aerodynamic Simulation of 3D Configurations

John E. Melton and Michael J. Aftosmis, NASA Ames Research Center; and Marsha J. Berger, Organizer

12:00 Amrita: A Hands on Approach to CFD

James J. Quirk, California Institute of Technology

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