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Real Gas Computation Using an Energy Relaxation Method and High-Order WENO SchemesIn 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.
Document ID
19980236872
Acquisition Source
Langley Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Montarnal, Philippe (Brown Univ. Providence, RI United States)
Shu, Chi-Wang (Brown Univ. Providence, RI United States)
Date Acquired
September 6, 2013
Publication Date
September 1, 1998
Subject Category
Numerical Analysis
Report/Patent Number
NASA/CR-1998-208712
ICASE-98-42
NAS 1.26:208712
Funding Number(s)
CONTRACT_GRANT: NAS1-97046
PROJECT: RTOP 505-90-52-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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