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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 3, Pages 536–544
DOI: https://doi.org/10.7868/S0044466914030053 (Mi zvmmf10014) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Eddy cascade of instabilities and transition to turbulence

S. V. Fortova

Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056, Russia
Full-text PDF (931 kB) Citations (8)
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DOI: https://doi.org/10.7868/S0044466914030053
Abstract: Numerical simulation is used to investigate a shear layer influenced by a constant external forcing in the theory of turbulence (Kolmogorov’s problem). The dynamics of flows developing in the case of various initial streamwise velocity profiles are studied. The transition from a two-dimensional laminar flow to a three-dimensional turbulent flow is considered. It is shown that developing hydrodynamic instabilities give rise to an eddy cascade, which, in the transition of the flow to a turbulent stage, corresponds to an eddy cascade developing in the energy and, then, inertial ranges.
Key words: mathematical simulation, shear layers, energy cascade, turbulence.
Received: 10.09.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 3, Pages 553–560
DOI: https://doi.org/10.1134/S0965542514030051
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. V. Fortova, “Eddy cascade of instabilities and transition to turbulence”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 536–544; Comput. Math. Math. Phys., 54:3 (2014), 553–560
Citation in format AMSBIB
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    • This publication is cited in the following 8 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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