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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2009, Volume 90, Issue 1, Pages 28–34 (Mi jetpl464)  

This article is cited in 16 scientific papers (total in 16 papers)

PLASMA, GASES

Stability and ambiguous representation of shock wave discontinuity in thermodynamically nonideal media

A. V. Konyukhova, A. P. Likhacheva, V. E. Fortova, S. I. Anisimovb, A. M. Oparinc

a Scientific Association for High Temperatures
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
c Institute for Computer Aided Design of RAS
References:
Abstract: The nonlinear analysis of the behavior of a shock wave on a Hugoniot curve fragment that allows for the ambiguous representation of shock wave discontinuity has been performed. The fragment under consideration includes a section where the condition L > 1 + 2M is satisfied, which is a linear criterion of the instability of the shock wave in media with an arbitrary equation of state. The calculations in the model of a viscous heat-conductive gas show that solutions with an instable shock wave are not implemented. In the one-dimensional model, the shock wave decays into two shock waves or a shock wave and a rarefaction wave, which propagate in opposite directions, or can remain in the initial state. The choice of the solution depends on the parameters of the shock wave (position on the Hugoniot curve), as well as on the form and intensity of its perturbation. In the two-dimensional and three-dimensional calculations with a periodic perturbation of the shock wave, a “cellular” structure is formed on the shock front with a finite amplitude of perturbations that does not decrease and increase in time. Such behavior of the shock wave is attributed to the appearance of the triple configurations in the inclined sections of the perturbed shock wave, which interact with each other in the process of propagation along its front.
Received: 08.05.2009
English version:
Journal of Experimental and Theoretical Physics Letters, 2009, Volume 90, Issue 1, Pages 25–31
DOI: https://doi.org/10.1134/S0021364009130062
Bibliographic databases:
Document Type: Article
PACS: 47.40.-x, 64.10.+h
Language: Russian


Citation: A. V. Konyukhov, A. P. Likhachev, V. E. Fortov, S. I. Anisimov, A. M. Oparin, “Stability and ambiguous representation of shock wave discontinuity in thermodynamically nonideal media”, Pis'ma v Zh. Èksper. Teoret. Fiz., 90:1 (2009), 28–34; JETP Letters, 90:1 (2009), 25–31
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  • This publication is cited in the following 16 articles:
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    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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