Modeling of transformation of surface wave packets interacting with abrupt bottom change

Brovchenko, Igor and Maderich, Vladimir and Semin, Sergey and Stepanyants, Yury and Terletska, Kateryna (2015) Modeling of transformation of surface wave packets interacting with abrupt bottom change. Applied Hydromechanics, 17 (1). pp. 3-9. ISSN 1561-9087


The paper presents results of numerical modelling on interaction of linear surface wavetrains with a bottom step. Small-amplitude wavetrains with different wavelengths are examined. Dependence of the transformation coefficients (transmission and reflection coefficients) of surface waves on the ratio of the depths before and after the step is obtained. Applicability of the hydrostatic approximation to simulation of wave transformation is discussed. It is shown that the hydrostatic model can be used for the modelling of wavetrains with sufficiently long career waves. Transformation coefficients obtained in this
case are in a good agreement with analytical formulae. The results obtained on the basis of earlier developed numerical code are in agreement with results obtained by means of freely available package MITgcm.

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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. Text in Russian.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 03 May 2016 02:34
Last Modified: 13 Jun 2016 00:41
Uncontrolled Keywords: numerical modeling, surface waves, wave packets
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: 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

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