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Matem. Mod., 2018, Volume 30, Number 8, Pages 17–31 (Mi mm3990)  

Hybrid approach to solving single-dimensional gas dynamics equations

Yu. A. Kriksin, V. F. Tishkin

Keldysh Institute of Applied Mathematics of RAS

Abstract: To solve one-dimensional gas dynamic problems, the hybrid approach is proposed, in which the entropy equation is solved instead of the energy equation in the isentropic flow domains of an ideal gas. The results of numerical calculations of some model problems obtained by the classical Godunov’s method and the algorithm based on the hybrid approach are compared.

Keywords: gasdynamic equations, Galerkin discontinuous method, boundary value problem, explicit numerical method, entropy and energy balance.

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


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Received: 19.10.2017

Citation: Yu. A. Kriksin, V. F. Tishkin, “Hybrid approach to solving single-dimensional gas dynamics equations”, Matem. Mod., 30:8 (2018), 17–31

Citation in format AMSBIB
\Bibitem{KriTis18}
\by Yu.~A.~Kriksin, V.~F.~Tishkin
\paper Hybrid approach to solving single-dimensional gas dynamics equations
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 8
\pages 17--31
\mathnet{http://mi.mathnet.ru/mm3990}


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