Nonlinear pulsations of horizontal jets |
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| Affiliation: | 1. St. Petersburg State University, 7–9, Universitetskaya nab., St. Petersburg 199034, Russia;2. NIERSC, Nansen International Environmental and Remote Sensing Centre, 14th line, 7, St. Petersburg 199034, Russia;3. Arctic and Antarctic Research Institute, Bering str., 38, St. Petersburg 199397, Russia;4. Pacific Oceanological Institute of the Russian Academy of Sciences, 43 Baltiiskaya St., 690041 Vladivostok, Russia;1. University of Monastir, Faculty of Sciences of Monastir (FSM), UR13ES64, Analysis and Control of PDEs, 5019 Monastir, Tunisia;2. University of Carthage, National Institute of Marine Sciences and Technologies (INSTM), LR16INSTM04, Marine Environment Laboratory, 2025 Salammbô, Tunisia;3. Environmental Modeling Center (EMC), National Oceanic and Atmospheric Administration, MD, USA;1. Department of Earth Sciences, Science and Research Branch, Islamic Azad University, Tehran, Iran;2. Department of Space Physics, Institute of Geophysics, University of Tehran, Iran |
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| Abstract: | ![]()
A shallow-water model with horizontally nonuniform density is used to study the dynamics of jet flows that arise under the influence of buoyancy and the Coriolis force. Within this approach, the jet is described by a self-similar compactly-localized solution and interpreted as a band of shear flow having a temperature contrast with the ambient fluid. In addition to stationary states, the dynamics of such jets admit cyclonic rotation with a constant angular velocity and transverse nonlinear pulsations. The phase portrait corresponding to this model shows that regimes with pulsating jets develop along closed trajectories bounded by the separatrix loop. The theory predicts that the period for warm jet pulsations is longer than the inertial oscillation period caused by the Earth’s rotation, while for cold jet pulsations, it is shorter. Thus, only warm jets can have a noticeable effect on the atmospheric dynamics in the synoptic range. In particular, they may well be responsible for additional spectral peaks that appear in this range of wind speed fluctuations. |
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| Keywords: | Rotating fluids Shallow water dynamics Jet stream Gradient currents Nonlinear equations |
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