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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 9, Pages 1559–1565
DOI: https://doi.org/10.7868/S0044466915090057 (Mi zvmmf10268) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Statistical mechanics of vortex hydrodynamic structures

O. M. Belotserkovskiia, N. N. Fiminb, V. M. Chechetkinb

a Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056, Russia
b Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
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DOI: https://doi.org/10.7868/S0044466915090057
Abstract: The existing approaches to analyzing the dynamics of coherent vortex structures are considered from the viewpoint of the calculus of variations for Poisson systems. For turbulent hydrodynamic flows with large-scale vortices, a simulation technique in the form of statistical mechanics of the Euler equation in a “coarse-grained” representation is substantiated.
Key words: Lynden–Bell distribution, coherent structures, Onsager vortices, Joyce–Montgomery equation, variational principles, turbulent flows.
Received: 09.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 9, Pages 1527–1533
DOI: https://doi.org/10.1134/S0965542515090043
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. M. Belotserkovskii, N. N. Fimin, V. M. Chechetkin, “Statistical mechanics of vortex hydrodynamic structures”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015), 1559–1565; Comput. Math. Math. Phys., 55:9 (2015), 1527–1533
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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