Wave scattering in spatially inhomogeneous currents

Churilov, Semyon and Ermakov, Andrei and Stepanyants, Yury (2017) Wave scattering in spatially inhomogeneous currents. Physical Review D, 96 (6). 064016. ISSN 2470-0010

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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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: 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.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 07 Nov 2017 02:11
Last Modified: 27 Apr 2018 05:07
Uncontrolled Keywords: water wave; canal of variable width; non-uniform flow; wave scattering; transformation coefficients
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1103/PhysRevD.96.064016
URI: http://eprints.usq.edu.au/id/eprint/33169

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