Actions for Real Gas Computation Using an Energy Relaxation Method and High-Order WENO Schemes

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Real Gas Computation Using an Energy Relaxation Method and High-Order WENO Schemes

Author
Shu, Chi-Wang
Published
Sep. 1998.
Physical Description
1 electronic document
Additional Creators
Montarnal, Philippe
Online Version

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Unclassified, Unlimited, Publicly available.
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Summary
In this paper, we use a recently developed energy relaxation theory by Coquel and Perthame and high order weighted essentially non-oscillatory (WENO) schemes to simulate the Euler equations of real gas. The main idea is an energy decomposition into two parts: one part is associated with a simpler pressure law and the other part (the nonlinear deviation) is convected with the flow. A relaxation process is performed for each time step to ensure that the original pressure law is satisfied. The necessary characteristic decomposition for the high order WENO schemes is performed on the characteristic fields based on the first part. The algorithm only calls for the original pressure law once per grid point per time step, without the need to compute its derivatives or any Riemann solvers. Both one and two dimensional numerical examples are shown to illustrate the effectiveness of this approach.
Other Subject(s)
Collection
NASA Technical Reports Server (NTRS) Collection.
Note
Document ID: 19980236872.
NASA/CR-1998-208712.
NAS 1.26:208712.
ICASE-98-42.
Terms of Use and Reproduction
No Copyright.
View MARC record | catkey: 15644001