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Godunov's Method for Gas-Dynamics: Current Applications and Future Developments

✍ Scribed by Bram van Leer


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
111 KB
Volume
132
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis


It gives me great pleasure to announce that an international symposium on Godunov-type methods-used worldwide for modeling continuum processes dominated by wave propagation-will be held on May 1-2, 1997, at the University of Michigan, Ann Arbor, Michigan. The title of the symposium is ''Godunov's Method for Gas-Dynamics: Current Applications and Future Developments.'' It is dedicated to the Russian mathematician S. K. Godunov (Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia), who will also receive an honorary degree from the University of Michigan on May 3. Professor Godunov's work of the 1950s and 1960s in the field of hyperbolic partial differential equations and their numerical approximation has had a profound effect on computational fluid dynamics. Many of today's state-of-the-art codes for simulating compressible flow, used in fields as diverse as civil aeronautics, nuclear-reactor safety, mesoscale meteorology, planetary space physics, and astrophysics, have their roots in a single paper by Godunov published in 1959. In this paper the use of the solution to Riemann's initial-value problem appears as a building block for a finitevolume method for compressible flow. In extensions by later authors, this concept is combined with that of nonoscillatory initial-value reconstruction, in order to achieve higher accuracy.

It seems fitting to announce this symposium in the Journal of Computational Physics, since no single journal has done so much for the advancement of Godunovtype methods as JCP. If we define Godunov-type methods as nonoscillatory finitevolume schemes that incorporate the solution (exact or approximate) to Riemann's initial-value problem, or a generalization of it, we find that almost all key articles on the development of such methods appeared in this journal. Among the authors of these papers several have served or are serving on the journal's editorial board.

The purpose of the conference is to give an overview of the current state of development and use of Godunov-type methods in science and engineering and to offer a perspective of their future development and use. This will be achieved through three sessions of invited lectures, post-session panel discussions on ''Current and Future Directions in Computational Science,'' and a poster display. The symposium will freely cross interdisciplinary boundaries by demonstrating the similarity in numerical treatment of a wide range of continuum-modeling problems. Looseleaf proceedings consisting of extended abstracts with (color) figures will be distributed.

The symposium will provide a podium to senior and junior researchers. To encourage participation by graduate research students, a number of travel grants will be made available. Financial support by AFOSR and NSF is pending.

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