| Инд. авторы: | Grebenev V.N., Griffin A., Medvedev S.B., Nazarenko S.V. |
| Заглавие: | Steady states in Leith's model of turbulence |
| Библ. ссылка: | Grebenev V.N., Griffin A., Medvedev S.B., Nazarenko S.V. Steady states in Leith's model of turbulence // Journal of Physics A: Mathematical and Theoretical. - 2016. - Vol.49. - Iss. 36. - P.5501-5528. - ISSN 1751-8113. - EISSN 1751-8121. |
| Внешние системы: | DOI: 10.1088/1751-8113/49/36/365501; РИНЦ: 27146419; SCOPUS: 2-s2.0-84984704932; WoS: 000383512000009; |
| Реферат: | eng: We present a comprehensive study and full classification of the stationary solutions in Leith's model of turbulence with a generalised viscosity. Three typical types of boundary value problems are considered: Problems 1 and 2 with a finite positive value of the spectrum at the left (right) and zero at the right (left) boundaries of a wave number range, and Problem 3 with finite positive values of the spectrum at both boundaries. Settings of these problems and analysis of existence of their solutions are based on a phase-space analysis of orbits of the underlying dynamical system. One of the two fixed points of the underlying dynamical system is found to correspond to a 'sharp front' where the energy flux and the spectrum vanish at the same wave number. The other fixed point corresponds to the only exact power-law solution - the so-called dissipative scaling solution. The roles of the Kolmogorov, dissipative and thermodynamic scaling, as well as of sharp front solutions, are discussed. © 2016 IOP Publishing Ltd.
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| Ключевые слова: | stationary solutions; solvability of boundary value problems; Leith model of turbulence; bottleneck phenomenon; |
| Издано: | 2016 |
| Физ. характеристика: | с.5501-5528 |
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