Uniform and Nonuniform Asymptotics of Far Surface Fields from a Flashed Localized Source

The problem of surface-wave far-field generation from a localized source that flashed in a heavy liquid of finite depth is investigated. Integral representations of the solution are constructed that describe the structure of wave surface disturbances. The characteristics of the excited wave fields f...

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Bibliographic Details
Published inFluid dynamics Vol. 56; no. 7; pp. 975 - 980
Main Authors Bulatov, V. V., Vladimirov, Yu. V., Vladimirov, I. Yu
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2021
Springer
Springer Nature B.V
Subjects
Airy function
Asymptotic methods
Classical and Continuum Physics
Classical Mechanics
Disturbances
Engineering Fluid Dynamics
Far fields
Fluid- and Aerodynamics
Perturbation
Physics
Physics and Astronomy
Wave fronts
surface waves
uniform asymptotics
Airy function
wave front
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Summary:The problem of surface-wave far-field generation from a localized source that flashed in a heavy liquid of finite depth is investigated. Integral representations of the solution are constructed that describe the structure of wave surface disturbances. The characteristics of the excited wave fields far from the source of disturbances are studied. Uniform and nonuniform asymptotic solutions are constructed that are expressed in terms of the Airy function and its derivative, which make it possible to describe the far fields of surface perturbations both near and far from the wave front.
ISSN:0015-4628
1573-8507
DOI:10.1134/S001546282107003X