Wave scattering in spatially inhomogeneous currents
Article
Article Title | Wave scattering in spatially inhomogeneous currents |
---|---|
ERA Journal ID | 1078 |
Article Category | Article |
Authors | Churilov, Semyon (Author), Ermakov, Andrei (Author) and Stepanyants, Yury (Author) |
Journal Title | Physical Review D |
Journal Citation | 96 (6), p. 064016 |
Number of Pages | 25 |
Year | 2017 |
Place of Publication | United States |
ISSN | 1550-2368 |
1550-7998 | |
2470-0010 | |
2470-0029 | |
Digital Object Identifier (DOI) | https://doi.org/10.1103/PhysRevD.96.064016 |
Web Address (URL) | https://journals.aps.org/prd/abstract/10.1103/PhysRevD.96.064016 |
Abstract | We analytically study a scattering of long linear surface waves on stationary currents in a duct (canal) of constant depth and variable width. It is assumed that the background velocity linearly increases or decreases with the longitudinal coordinate due to the gradual variation of duct width. Such a model admits an analytical solution of the problem in hand, and we calculate the scattering coefficients as functions of incident wave frequency for all possible cases of sub-, super-, and transcritical currents. For completeness we study both cocurrent and countercurrent wave propagation in accelerating and decelerating currents. The results obtained are analyzed in application to recent analog gravity experiments and shed light on the problem of hydrodynamic modeling of Hawking radiation. |
Keywords | water wave; canal of variable width; non-uniform flow; wave scattering; transformation coefficients |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
490109. Theoretical and applied mechanics | |
Public Notes | First prize winner of the USQ Publication Excellence Award for Journal Articles published during the period September - December 2017. Published version deposited in accordance with the copyright policy of the publisher. |
Byline Affiliations | Russian Academy of Sciences, Russia |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q46yz/wave-scattering-in-spatially-inhomogeneous-currents
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