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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:
- Ishlinsky Institute for Problems in Mechanics RAS
- Shirshov Institute of Oceanology RAS
- Issue: Vol 87, No 3 (2023)
- Pages: 432-441
- Section: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/138869
- DOI: https://doi.org/10.31857/S0032823523030025
- EDN: https://elibrary.ru/ZSIELU
- ID: 138869
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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.
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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