On the Development of Godunov Methods and Their Application to Gasdynamics
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
We are interested in developing the most accurate numeral models to simulate Gadynamics of explosions. But we must first recognize that there is no unique way to discretize the partial differential equations (PDEs) of gas dynamics, and also, there is no unique method to integrate the discretized forms of these equations. This has spawned a variety of numerical methods (religions*) that attempt to solve this conundrum, for example: Artificial Viscosity method created by the American mathematician John von Neumann, Flux-Corrected-Transport (FCT) method invented by Dr. Jay Boris, founder of the Laboratory for Computational Physics (LCP) at NRL, WENO method developed by Professor Stan Osher of UCLA and Professor Bjorn Enquist of U. Texas, and Godunov method by Academician Sergei Konstantinovich Godunov, Professor of the Sobolev Institute of Mathematics, RAS, in Novosibirsk to name just a few.
- Research Organization:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- DOE Contract Number:
- AC52-07NA27344
- OSTI ID:
- 1544516
- Report Number(s):
- LLNL-TR--781217; 975585
- Country of Publication:
- United States
- Language:
- English
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