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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 9, Pages 1613–1623 (Mi zvmmf4935)  
This article is cited in 1 scientific paper (total in 1 paper)

Coherent structures in fluid dynamics and kinetic equations

O. M. Belotserkovskiĭa, 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, Moskow, 125047 Russia
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Abstract: A possible approach to the simulation of turbulent flows is proposed that is based on statistics of vortices of various types in a plane. It is shown that coherent (large-scale) fluid structures can be identified with solutions of the Joyce-Montgomery equations, and the possibility that these solutions bifurcate is explored. The formalism of turbulent dynamics description is based on kinetic equations for point vortices with a nontrivial internal structure.
Key words: mathematical simulation, coherent structures, small-scale turbulence, solution of fluid dynamic equations, Hamilton–Kirchhoff equations, Vlasov equation.
Received: 25.03.2010
Revised: 20.04.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 9, Pages 1536–1545
DOI: https://doi.org/10.1134/S096554251009006X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. M. Belotserkovskiǐ, N. N. Fimin, V. M. Chechetkin, “Coherent structures in fluid dynamics and kinetic equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:9 (2010), 1613–1623; Comput. Math. Math. Phys., 50:9 (2010), 1536–1545
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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