Tuesday, July 15

10:30 AM-12:30 PM
Terman Auditorium

High Order Methods for Compressible Flow Calculations (Part I of III)

There are many practical compressible flow problems which require the resolution capability of high order, high resolution schemes. The speakers will discuss recent development and application of high order methods for compressible flows. This includes the discontinuous Galerkin method, spectral element method on unstructured meshes, and high order finite volume and finite difference methods. Practical issues such as h-p refinements, multi-dimensional limiters, adaptive gridding, and parallel computing will be addressed.

The three main types of high order schemes, finite element (including discontinuous Galerkin and streamline diffusion methods), spectral method (including spectral elements and h-p methods), and finite volume/finite difference methods have all been investigated intensively over the last few years for compressible flow calculations. High order methods are powerful and computationally efficient for flow problems with complicated structure and long time simulation. They do, however, require detailed analysis and care in implementation as they may become unstable if not used adequately.

This minisymposium will be a survey of recent advance in methodology in this active research area. The speakers are all from active research groups and the methods and results being discussed will be the state of the art in this field.

Organizers: George Karniadakis and Chi-Wang Shu
Brown University

10:30 The New Discontinuous Galerkin Applied to CFD Problems
Carlos Erik Baumann and J. Tinsley Oden, University of Texas, Austin
11:00 Adaptive and Parallel HP-Refinement for Conservation Laws
Joseph E. Flaherty, Raymond Loy, James Teresco, Rensselaer Polytechnic Institute; and Karen D. Devine, Sandia National Laboratories
11:30 A Discontinuous Galerkin Method for Viscous Compressible Flows
Igor Lomtev, Brown University; and George Karniadakis, Organizer
12:00 Solution of Time Dependent Compressible Flows by a Staggered-Grid Chebyshev Spectral Multidomain Method
David A. Kopriva, Florida State University

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MMD, 3/31/97
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MMD, 6/2/97