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Matem. Mod., 2020, Volume 32, Number 11, Pages 114–128 (Mi mm4237)  

Entropy stability of bicompact schemes in gas dynamics problems

M. D. Bragin

Keldysh Institute of Applied Mathematics of RAS

Abstract: Fully discrete bicompact schemes of fourth order of approximation in space are examined for entropy stability in gas dynamics problems. Expressions for entropy production rates of these schemes are derived. Qualitative estimations for the behavior of these rates are obtained. Entropy production rates of bicompact schemes of first and third order in time are numerically analyzed in case of one-dimensional Riemann test problems. Based on the results of this analysis, it is concluded whether bicompact schemes need an entropy correction or not.

Keywords: gas dynamics, entropy stability, compact schemes, bicompact schemes.

Funding Agency Grant Number
Russian Science Foundation 17-71-30014


DOI: https://doi.org/10.20948/mm-2020-11-09

Full text: PDF file (535 kB)
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Received: 13.07.2020
Revised: 13.07.2020
Accepted:21.09.2020

Citation: M. D. Bragin, “Entropy stability of bicompact schemes in gas dynamics problems”, Matem. Mod., 32:11 (2020), 114–128

Citation in format AMSBIB
\Bibitem{Bra20}
\by M.~D.~Bragin
\paper Entropy stability of bicompact schemes in gas dynamics problems
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 11
\pages 114--128
\mathnet{http://mi.mathnet.ru/mm4237}
\crossref{https://doi.org/10.20948/mm-2020-11-09}


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