Transformation of narrowband wavetrains of surface gravity waves passing over a bottom step
Article
Article Title | Transformation of narrowband wavetrains of surface gravity waves passing over a bottom step |
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ERA Journal ID | 32402 |
Article Category | Article |
Authors | Giniyatullin, A. R. (Author), Kurkin, A. A. (Author), Semin, S. V. (Author) and Stepanyants, Y. A. (Author) |
Journal Title | Mathematical Modelling of Natural Phenomena (MMNP) |
Journal Citation | 9 (5), pp. 73-82 |
Number of Pages | 10 |
Year | 2014 |
Place of Publication | Cambridge, United Kingdom |
ISSN | 0973-5348 |
1760-6101 | |
Digital Object Identifier (DOI) | https://doi.org/10.1051/mmnp/20149505 |
Abstract | The problem of transformation of quasimonochromatic wavetrains of surface gravity waves with narrow spatial-temporal spectra on the bottom shelf is considered in the linear approximation. By means of numerical modeling, the transmission and reflection coefficients are determined as functions of the depth ratio and wave number (frequency) of an incident wave. The approximation formulae are proposed for the coefficients of wave transformation. The characteristic features of these formulae are analyzed. It is shown that the numerical results agree quite satisfactorily with the proposed approximation formulae. |
Keywords | wavetrain; wave transformation; numerical modeling; quasimonochromatic wave; reflected and transmitted waves; bottom step |
ANZSRC Field of Research 2020 | 510105. General relativity and gravitational waves |
370803. Physical oceanography | |
490101. Approximation theory and asymptotic methods | |
Public Notes | © Cambridge University Press 2014. This publication is copyright. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source. |
Byline Affiliations | Nizhny Novgorod State Technical University, Russia |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q2w85/transformation-of-narrowband-wavetrains-of-surface-gravity-waves-passing-over-a-bottom-step
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