Far Fields Asymptotics of Internal Gravity Waves from a Pulse Localized Source in a Rotating Stratified Medium

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

doi:10.31857/S0032823523030025

Far Fields Asymptotics of Internal Gravity Waves from a Pulse Localized Source in a Rotating Stratified Medium

Authors: Bulatov V.V.¹, Vladimirov I.Y.²
Affiliations:
1. Ishlinsky Institute for Problems in Mechanics RAS
2. Shirshov Institute of Oceanology RAS
Issue: Vol 87, No 3 (2023)
Pages: 432-441
Section: Articles
URL: https://ruspoj.com/0032-8235/article/view/675126
DOI: https://doi.org/10.31857/S0032823523030025
EDN: https://elibrary.ru/ZSIELU
ID: 675126

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Abstract

The problem of constructing asymptotics of the internal gravity waves far fields arising from an impulsive localized source of perturbations in a stratified fluid of finite depth rotating as a whole is solved. In the approximation of constant buoyancy frequency, uniform and nonuniform asymptotics of solutions are constructed to describe far wave fields, which are expressed in terms of the Airy function and its derivative. The exact and asymptotic results are compared, and it is shown that at times longer than several buoyancy periods and at distances of the order of the liquid layer thickness, the obtained asymptotics allow one to describe the amplitude-phase structure of far wave fields.

Keywords

rotating stratified medium, internal gravity waves, far fields, wave fronts, asymptotics

About the authors

V. V. Bulatov

Ishlinsky Institute for Problems in Mechanics RAS

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

I. Yu. Vladimirov

Shirshov Institute of Oceanology RAS

Author for correspondence.
Email: iyuvladimirov@rambler.ru
Russia, Moscow

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