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Statistical mechanics of vortex hydrodynamic structures

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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.

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Authors and Affiliations

  1. Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056, Russia

    O. M. Belotserkovskii

  2. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

    N. N. Fimin & V. M. Chechetkin

Authors
  1. O. M. Belotserkovskii
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  2. N. N. Fimin
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  3. V. M. Chechetkin
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Correspondence to O. M. Belotserkovskii.

Additional information

Original Russian Text © O.M. Belotserkovskii, N.N. Fimin, V.M. Chechetkin, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 9, pp. 1559–1565.

In blessed memory of A.P. Favorskii

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Belotserkovskii, O.M., Fimin, N.N. & Chechetkin, V.M. Statistical mechanics of vortex hydrodynamic structures. Comput. Math. and Math. Phys. 55, 1527–1533 (2015). https://doi.org/10.1134/S0965542515090043

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  • DOI: https://doi.org/10.1134/S0965542515090043

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