caa a22 4500 445302259 CHVBK 20180317142601.0 cr unu---uuuuu 170323e20100201xx s 000 0 eng 10.1134/S0001433810010135 doi (NATIONALLICENCE)springer-10.1134/S0001433810010135 Asymptotic analysis of transition to turbulence and chaotic advection in shear zonal flows on a beta-plane [Elektronische Daten] [S. Shagalov, V. Reutov, G. Rybushkina] The generation of narrow-band Rossby wave packets and the modulated vortex chains induced by them in a weakly-dissipative zonal flow on the beta-plane with a velocity profile in the form of a shear layer is studied. The analysis is performed within the framework of the asymptotic approach based on the distinguishing a thin critical layer inside of which the vortex chains are formed. The evolution equations, describing the simultaneous development of a wave packet envelope and vorticity perturbations in a nonlinear critical layer, are derived for a weakly supercritical flow. A transition to the complex dynamics of a wave packet (low-mode turbulence) is studied within the framework of a numerical solution of the derived equations and its mechanism is revealed. The onset of chaotic advection and anomalous diffusion of passive scalar in the critical layer is considered, and the exponent of the diffusion law is calculated. Pleiades Publishing, Ltd., 2010 Shagalov S. Institute of Applied Physics, Russian Academy of Sciences, ul. Ulyanova 46, 603950, Nizhni Novgorod, Russia aut Reutov V. Institute of Applied Physics, Russian Academy of Sciences, ul. Ulyanova 46, 603950, Nizhni Novgorod, Russia aut Rybushkina G. Institute of Applied Physics, Russian Academy of Sciences, ul. Ulyanova 46, 603950, Nizhni Novgorod, Russia aut Izvestiya, Atmospheric and Oceanic Physics SP MAIK Nauka/Interperiodica 46/1(2010-02-01), 95-108 0001-4338 46:1<95 2010 46 11485 https://doi.org/10.1134/S0001433810010135 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0001433810010135 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shagalov S. Institute of Applied Physics, Russian Academy of Sciences, ul. Ulyanova 46, 603950, Nizhni Novgorod, Russia aut NATIONALLICENCE 700 1- Reutov V. Institute of Applied Physics, Russian Academy of Sciences, ul. Ulyanova 46, 603950, Nizhni Novgorod, Russia aut NATIONALLICENCE 700 1- Rybushkina G. Institute of Applied Physics, Russian Academy of Sciences, ul. Ulyanova 46, 603950, Nizhni Novgorod, Russia aut NATIONALLICENCE 773 0- Izvestiya, Atmospheric and Oceanic Physics SP MAIK Nauka/Interperiodica 46/1(2010-02-01), 95-108 0001-4338 46:1<95 2010 46 11485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer