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.
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Original Russian Text © O.M. Belotserkovskii, N.N. Fimin, V.M. Chechetkin, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 9, pp. 1613–1623.
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Belotserkovskii, O.M., Fimin, N.N. & Chechetkin, V.M. Coherent structures in fluid dynamics and kinetic equations. Comput. Math. and Math. Phys. 50, 1536–1545 (2010). https://doi.org/10.1134/S096554251009006X
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DOI: https://doi.org/10.1134/S096554251009006X