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

The problem of constructing asymptotics of the internal gravity waves far fields arising from an pulsed localized source of perturbations in a stratified fluid of finite depth rotating as a whole is solved. In the approximation of constancy of the buoyancy frequency, uniform and nonuniform asymptoti...

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Bibliographic Details
Published in:Fluid dynamics 2023-12, Vol.58 (7), p.1359-1366
Main Authors: Bulatov, V. V., Vladimirov, I. Yu
Format: Article
Language:English
Subjects:
Airy function
Asymptotic properties
Buoyancy
Classical and Continuum Physics
Classical Mechanics
Engineering Fluid Dynamics
Far fields
Fluid- and Aerodynamics
Gravity waves
Physics
Physics and Astronomy
Rotating fluids
Rotation
Solid phases
Thickness
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Summary:The problem of constructing asymptotics of the internal gravity waves far fields arising from an pulsed localized source of perturbations in a stratified fluid of finite depth rotating as a whole is solved. In the approximation of constancy of the 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 on the order of the liquid-layer thickness, the obtained asymptotics allow one to describe the amplitude–phase structure of far wave fields.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462823602152