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Matematicheskoe modelirovanie, 2003, Volume 15, Number 5, Pages 3–11 (Mi mm453)  

This article is cited in 4 scientific papers (total in 4 papers)

Numerical simulation and analysis of a turbulent mixing with 3D NUT code

S. M. Garinaa, N. V. Zmitrenkoa, M. E. Ladonkinaa, I. G. Lebob, V. V. Nikishina, N. G. Pronchevaa, V. B. Rozanovb, V. F. Tishkina

a Institute for Mathematical Modelling, Russian Academy of Sciences
b P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (868 kB) Citations (4)
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Abstract: Numerical results are presented for two cases of hydrodynamic instability development. The first problem is connected with a direct simulation of a turbulent mixing occurred due to Richtmyer–Meshkov instability development. Modeling results well describe the main configuration characteristics of a developing mixing zone, that is turbulent layer view and size. The second problem relates a classical Rayleigh–Taylor instability. In this case a mixing zone range increases in proportion to time squared with the different coefficients: fast growth in beginning changes to more slow at the end. For both problems a dependence of the kinetic energy on wave number is obtained by means of the Fourier expansion of the velocity components. It discovered a small inertial interval $(E\sim q^{-5/3})$ and more extensive interval in dissipation region $(E\sim q^{-11/3})$.
Received: 14.03.2002
Bibliographic databases:
Language: Russian
Citation: S. M. Garina, N. V. Zmitrenko, M. E. Ladonkina, I. G. Lebo, V. V. Nikishin, N. G. Proncheva, V. B. Rozanov, V. F. Tishkin, “Numerical simulation and analysis of a turbulent mixing with 3D NUT code”, Matem. Mod., 15:5 (2003), 3–11
Citation in format AMSBIB
\Bibitem{GarZmiLad03}
\by S.~M.~Garina, N.~V.~Zmitrenko, M.~E.~Ladonkina, I.~G.~Lebo, V.~V.~Nikishin, N.~G.~Proncheva, V.~B.~Rozanov, V.~F.~Tishkin
\paper Numerical simulation and analysis of a turbulent mixing with 3D NUT code
\jour Matem. Mod.
\yr 2003
\vol 15
\issue 5
\pages 3--11
\mathnet{http://mi.mathnet.ru/mm453}
\zmath{https://zbmath.org/?q=an:1141.76403}
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  • https://www.mathnet.ru/eng/mm453
  • https://www.mathnet.ru/eng/mm/v15/i5/p3
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:628
    Full-text PDF :250
    References:62
    First page:3
     
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