Transformation of surface waves over a bottom step

Kurkin, A. A. and Semin, S. V. and Stepanyants, Yu A. (2015) Transformation of surface waves over a bottom step. Izvestiya, Atmospheric and Oceanic Physics, 51 (2). pp. 214-223. ISSN 0001-4338


We analyze in detail the problem of the transformation of surface gravity waves over a bottom step in a basin of arbitrary depth in the linear approximation. We found that strict analytical results can be obtained only when a denumerable set of modes condensed near the step is taken into account. At the same time, one can use the formulas suggested in this work for the practical calculations. They provide an accuracy of 5% for the wave transmission coefficient. The specific peculiarities of transformation coefficients are discussed, including their nonmonotonic dependence on the parameters, asymptotic behavior at strong depth variations, etc. The data of a direct numerical simulation of wave transformation over a step are presented, which are compared with the exact and approximate formulas. The coefficients of excitation of modes condensed near the step by an incident quasi-monochromatic wave are found. A relationship between the transformation coefficients that follows from the conservation law of wave energy flux is found.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to published version due to publisher copyright policy.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 06 May 2016 05:37
Last Modified: 22 Jul 2016 05:56
Uncontrolled Keywords: surface waves, wave transformation, transmission coefficient, reflection coefficient, oceanic shelf, bottom step, evanescent modes
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
04 Earth Sciences > 0405 Oceanography > 040503 Physical Oceanography
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: D Environment > 96 Environment > 9610 Natural Hazards > 961006 Natural Hazards in Marine Environments
E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970104 Expanding Knowledge in the Earth Sciences
Identification Number or DOI: 10.1134/S0001433815020097

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