Transformation of surface and internal waves on a bottom step

Kurkin, Andrey and Semin, Sergey and Stepanyants, Yury ORCID: https://orcid.org/0000-0003-4546-0310 (2015) Transformation of surface and internal waves on a bottom step. Fundamental and Applied Hydrophysics (in Russian), 8 (3). pp. 3-19. ISSN 2073-6673

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Abstract

A brief overview of works on transformation of surface and internal gravity waves over a bottom step is presented. The generalization of Lamb formulae for the transformation coefficients derived in the longwave approximation is discussed for waves of arbitrary length in the fluid of a finite length. The rigorous approach to calculation of transformation coefficients in the linear approximation is described both for the surface and internal waves in two-layer fluid. The problems associated with the application of the rigorous approach are noticed. The various approximate approaches are considered, as well as their
compliance with the rigorous theory and numerical and experimental results. Within the framework of the rigorous approach the transformation coefficients of travelling waves and the excitation coefficients of evanescent modes are calculated. It is shown that wavelength of a quasi-monochromatic wavetrain changes after transformation on a bottom step proportionally to the phase speed, whereas the length of the envelope changes proportionally to the group speed. Comparison of theoretical results with numerical data and laboratory experiments is presented.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Journal is published in Russian. Abstract supplied in English.
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019)
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019)
Date Deposited: 20 Jun 2016 00:07
Last Modified: 15 Feb 2021 23:33
Uncontrolled Keywords: water waves; internal waves; wave transformation; transmission coefficient; reflection coefficient; wave packet; waves transformation on the shelf
Fields of Research (2008): 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
Fields of Research (2020): 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401207 Fundamental and theoretical fluid dynamics
37 EARTH SCIENCES > 3708 Oceanography > 370803 Physical oceanography
49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490109 Theoretical and applied mechanics
Socio-Economic Objectives (2008): 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
E Expanding Knowledge > 97 Expanding Knowledge > 970104 Expanding Knowledge in the Earth Sciences
URI: http://eprints.usq.edu.au/id/eprint/27899

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