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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 3, Pages 436–448
DOI: https://doi.org/10.31857/S0044466923030134
(Mi zvmmf11526)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical physics

Influence of the shock wave intensity on instability development at rough interfaces of a three-layer gas system

V. V. Zmushko, A. N. Razin, A. A. Sinel'nikova, A. N. Shcherbakov

Russian Federal Nuclear Center – All-Russia Research Institute of Experimental Physics, 607188, Sarov, Nizhny Novgorod oblast, Russia
Citations (1)
Abstract: The influence exerted by the intensity of a shock wave transmitted through rough interfaces on instability development in a three-layer gas system at Mach numbers $\mathrm{M}$ = 1.3 and $\mathrm{M}$ = 3 is studied. The three-layer system is obtained by placing two thin films (interfaces) across a shock tube. A heavy gas (sulfur hexafluoride) occupies the space between the interfaces (the central layer of the system), while the spaces to the left and right of the central layer are filled with air. The initial roughness of the interfaces is specified as a two-mode sinusoidal perturbation. The computations are carried out using the MIMOZA code based on implicit large eddy simulation (ILES) with the Euler equations integrated on a mesh with square cells. The numerical results are compared with each other and, at $\mathrm{M}$ = 1.3, with experimental data.
Key words: layered gas systems, interfaces, shock waves, instability, turbulent mixing, mathematical modeling.
Funding agency Grant number
National Center of Physics and Mathematics, Sarov
This work was supported by the National Center of Physics and Mathematics.
Received: 23.04.2022
Revised: 09.10.2022
Accepted: 14.11.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 3, Pages 413–424
DOI: https://doi.org/10.1134/S0965542523030132
Bibliographic databases:
Document Type: Article
UDC: 533.1
Language: Russian
Citation: V. V. Zmushko, A. N. Razin, A. A. Sinel'nikova, A. N. Shcherbakov, “Influence of the shock wave intensity on instability development at rough interfaces of a three-layer gas system”, Zh. Vychisl. Mat. Mat. Fiz., 63:3 (2023), 436–448; Comput. Math. Math. Phys., 63:3 (2023), 413–424
Citation in format AMSBIB
\Bibitem{ZmuRazSin23}
\by V.~V.~Zmushko, A.~N.~Razin, A.~A.~Sinel'nikova, A.~N.~Shcherbakov
\paper Influence of the shock wave intensity on instability development at rough interfaces of a three-layer gas system
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 3
\pages 436--448
\mathnet{http://mi.mathnet.ru/zvmmf11526}
\crossref{https://doi.org/10.31857/S0044466923030134}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4582775}
\elib{https://elibrary.ru/item.asp?id=50435763}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 3
\pages 413--424
\crossref{https://doi.org/10.1134/S0965542523030132}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i3/p436
  • This publication is cited in the following 1 articles:
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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