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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2017-5pp.384-389

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V.V. Bulatov and Yu.V. Vladimirov, "Internal gravity waves excited by a pulsating perturbation source," J. Appl. Math. Mech. 81 (5), 384-389 (2017)
Year 2017 Volume 81 Issue 5 Pages 384-389
DOI 10.1016/j.jappmathmech.2018.03.006
Title Internal gravity waves excited by a pulsating perturbation source
Author(s) V.V. Bulatov (Institute for Problems of Mechanics, Russian Academy of Science, Moscow, Russia, internalwave@mail.ru)
Yu.V. Vladimirov (Institute for Problems of Mechanics, Russian Academy of Science, Moscow, Russia, vladimyura@yandex.ru)
Abstract The problem of an internal gravity wave field from a pulsating point source of perturbations in the flow of a stratified medium of finite depth with horizontal velocity of the source V less than the maximum value of the group velocity of the internal gravity waves c is considered, unlike to the previously considered case V>c. Constructed asymptotic solutions make it possible to describe the amplitude-phase characteristics of individual modes comprising the full field of internal gravity waves. The excited waves consist of waves of two types: ring-like waves and wedge-shaped waves. Features of the mode structure of the excited fields are considered as functions of the parameters of the stratified medium and the characteristics of the perturbation source.
Received 13 October 2016
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