Internal gravity waves in the ocean with shear flows excited by non-stationary sources

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The problem of internal gravity wave generation by a localized oscillating disturbance source in the ocean of finite depth with background shear currents is considered. Model representations of the buoyancy frequency and the shear current distribution by depth are used to construct analytical solutions in the linear approximation. Under the Miles–Howard assumption, an integral representation of the solution is constructed as a sum of wave modes. Using the stationary phase method, an asymptotic representation of the solution for an individual mode is obtained. The spatial transformation of the phase structures of wave fields is studied depending on the oscillation frequency of the disturbance source and the main characteristics of the shear currents. Experimentally measured shear flows in abyssal channels are shown and compared with the results of laboratory modeling.

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Sobre autores

V. Bulatov

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

Autor responsável pela correspondência
Email: internalwave@mail.ru
Rússia, Moscow

I. Vladimirov

Shirshov Oceanology Institute, Russian Academy of Sciences

Email: iyuvladimirov@rambler.ru
Rússia, Moscow

Е. Morozov

Shirshov Oceanology Institute, Russian Academy of Sciences

Email: egmorozov@mail.ru
Rússia, Moscow

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2. Fig. 1. Wave pattern of waves propagating from a source in the positive direction of the axis, two wave fronts at

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3. Fig. 2. Waves from a source in all directions; two wave fronts at , two wave fronts at

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4. Fig. 3. Measured velocity field along the Vema abyssal rift in the tropical Atlantic Ocean with bottom water flowing around a transverse submarine ridge. The numbers on the upper axis indicate the numbers of the current profiling stations with a down-slope Doppler current profiler. The maximum flow velocities to the east (from left to right) are observed after the current has rolled down the slope.

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5. Fig. 4. Laboratory modeling (top) and numerical calculation (bottom) of flow around an underwater obstacle for values ​​of the parameter close to those observed in the ocean.

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Nota

Presented by Academician of the RAS M.V. Flint August 12, 2024


Declaração de direitos autorais © Russian Academy of Sciences, 2025