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Matematicheskoe modelirovanie, 2022, Volume 34, Number 4, Pages 3–22
DOI: https://doi.org/10.20948/mm-2022-04-01 (Mi mm4364) 		 
Simulation of air shock wave using the equations of state for the Jones–Wilkins–Lee detonation products

V. V. Valko, V. A. Gasilov, N. O. Savenko, V. S. Solovyova

Keldysh Institute of Applied Mathematics of RAS
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DOI: https://doi.org/10.20948/mm-2022-04-01
Abstract: The paper describes a mathematical model of the propagation of an air shock wave arising from the initiation of a substance with a high energy consumption and the subsequent flow of a mixture of air and gaseous detonation products. Various options for evaluating the correctness of the set of constants included in the equation of state for the Jones–Wilkins–Lee (JWL) detonation products are discussed. The results of model calculations based on the proposed technique, performed on structured and structurally irregular grids, are presented. The results obtained are discussed in comparison with analytical solutions of model problems and calculated data obtained using commercial packages.
Keywords: mathematical model, detonation, JWL equation state, shock wave.
Received: 30.09.2021
Revised: 13.12.2021
Accepted: 17.01.2022
English version:
Mathematical Models and Computer Simulations, 2022, Volume 14, Issue 6, Pages 875–888
DOI: https://doi.org/10.1134/S2070048222060163
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Valko, V. A. Gasilov, N. O. Savenko, V. S. Solovyova, “Simulation of air shock wave using the equations of state for the Jones–Wilkins–Lee detonation products”, Matem. Mod., 34:4 (2022), 3–22; Math. Models Comput. Simul., 14:6 (2022), 875–888
Citation in format AMSBIB
\Bibitem{ValGasSav22}
\by V.~V.~Valko, V.~A.~Gasilov, N.~O.~Savenko, V.~S.~Solovyova
\paper Simulation of air shock wave using the equations of state for the Jones--Wilkins--Lee detonation products
\jour Matem. Mod.
\yr 2022
\vol 34
\issue 4
\pages 3--22
\mathnet{http://mi.mathnet.ru/mm4364}
\crossref{https://doi.org/10.20948/mm-2022-04-01}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4403407}
\transl
\jour Math. Models Comput. Simul.
\yr 2022
\vol 14
\issue 6
\pages 875--888
\crossref{https://doi.org/10.1134/S2070048222060163}
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