The Phase Structure of Wave Disturbances Excited by a Pulsating Source at the Interface of a Liquid Flow of Finite Depth and an Ice Sheet

V. V. Bulatov; Булатов В. В.; I. Yu. Vladimirov; Владимиров И. Ю.

doi:10.31857/S0032823524030046

The Phase Structure of Wave Disturbances Excited by a Pulsating Source at the Interface of a Liquid Flow of Finite Depth and an Ice Sheet

Authors: Bulatov V.V.¹, Vladimirov I.Y.²
Affiliations:
1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
2. Shirshov Oceanology Institute of the Russian Academy of Sciences
Issue: Vol 88, No 3 (2024)
Pages: 392-405
Section: Articles
URL: https://journals.rcsi.science/0032-8235/article/view/269259
DOI: https://doi.org/10.31857/S0032823524030046
EDN: https://elibrary.ru/ZAZCOJ
ID: 269259

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Abstract
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Abstract

The floating ice sheet determines the dynamic interaction between the ocean and the atmosphere, affects the dynamics of the sea surface and subsurface waters, since the ice sheet and the entire mass of liquid under it participate in the general vertical movement. The paper investigates the phase structure of wave fields arising at the interface between ice and a flow of homogeneous liquid of finite thickness when flowing around a localized pulsating source of disturbances. The ice sheet is modeled by a thin elastic plate, the deformations of which are small, and the plate is physically linear. An integral representation of the solution is obtained, and the results of calculations of dispersion dependencies and phase patterns for various parameters of wave generation are presented. It is shown that the main parameters determining the characteristics of the amplitude-phase structure of wave disturbances of the ice sheet surface are ice thickness, flow velocity, and pulsation frequency. Numerical calculations demonstrate that when the flow velocities, ice thickness, and frequency change, there is a noticeable qualitative restructuring of the phase patterns of the excited long-range wave fields at the ice-liquid interface.

Keywords

ice cover, elevation of the interface, dispersion dependences, phase structure, localized pulsating source

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About the authors

V. V. Bulatov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Author for correspondence.
Email: internalwave@mail.ru
Russian Federation, Moscow

I. Yu. Vladimirov

Shirshov Oceanology Institute of the Russian Academy of Sciences

Email: iyuvladimirov@rambler.ru
Russian Federation, Moscow

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