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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 5, Pages 876–885
DOI: https://doi.org/10.7868/S0044466915050099
(Mi zvmmf10210)
 

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

Numerical simulation of Rayleigh–Taylor instability in inviscid and viscous media

A. N. Doludenkoa, S. V. Fortovab

a Institute of Thermophysical Extremal States, Joint Institute of High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/2, Moscow, 125412, Russia
b Institute for Computer Aided Design of RAS, Moscow
Full-text PDF (915 kB) Citations (1)
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Abstract: The Rayleigh–Taylor instability in viscous and inviscid compressible media is analyzed by applying the numerical simulation of the Euler and Navier–Stokes equations. It is shown that the development of hydrodynamic instabilities leads to the formation of an eddy cascade, which, after the onset of turbulence in the flow, corresponds to an eddy cascade developing in the energy and inertial ranges. The results reveal that the developing flows and the parameters under study are identical for both models.
Key words: mathematical simulation, Rayleigh–Taylor instability, energy cascade, turbulence.
Received: 25.06.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 5, Pages 874–882
DOI: https://doi.org/10.1134/S0965542515050097
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: Primary 76F06; Secondary 76Exx, 82D15
Language: Russian
Citation: A. N. Doludenko, S. V. Fortova, “Numerical simulation of Rayleigh–Taylor instability in inviscid and viscous media”, Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015), 876–885; Comput. Math. Math. Phys., 55:5 (2015), 874–882
Citation in format AMSBIB
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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