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This article is cited in 3 scientific papers (total in 3 papers)
Coherent hydrodynamic structures and vortex dynamics
O. M. Belotserkovskiia, N. N. Fiminb, V. M. Chechetkinb a Institute of Computer Aided Design RAS
b Keldysh Institute of Applied Mathematics RAS
Abstract:
Possible approaches to modeling of 2-dimensional coherent hydrodynamic structures on the basis of statistical mechanics of local vortices are considered. Exact definitions of coherent structures are given and mechanisms of their formation are shown. The bases of the kinetic theory of Onsager vortices are given and possibility of application of the classical molecular-kinetic theory for an explanation of origin of vortex mesostructures in the shear flows is considered.
Keywords:
coherent hydrodynamic structures, Onsager vortices, Vlasov equation, Poisson systems, variation problem, Joyce–Montgomery equation, solution branching.
Received: 26.01.2015
Citation:
O. M. Belotserkovskii, N. N. Fimin, V. M. Chechetkin, “Coherent hydrodynamic structures and vortex dynamics”, Matem. Mod., 27:8 (2015), 63–84; Math. Models Comput. Simul., 8:2 (2016), 135–148
Linking options:
https://www.mathnet.ru/eng/mm3638 https://www.mathnet.ru/eng/mm/v27/i8/p63
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Abstract page: | 373 | Full-text PDF : | 133 | References: | 55 | First page: | 13 |
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