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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 2, Pages 25–36
DOI: https://doi.org/10.15372/PMTF20220203 (Mi pmtf27) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Propagation of oblique flexural gravity waves over finite number of steps

S. Paula, S. Deb

a Roy Engineering College, Durgapur-713206, India
b University of Calcutta, Kolkata-700009, India
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DOI: https://doi.org/10.15372/PMTF20220203
Abstract: A linearized model is presented for the scattering problem of flexural gravity waves by the bottom with a finite number of rectangular steps in the ocean. The matched eigenfunction expansion method is used to solve the boundary-value problem, and the results are expressed in terms of a set of integral equations solved by the multiterm Galerkin's approximation technique. Numerical values of the reflection and transmission coefficients are calculated and graphed to display the influence of various parameters of the problem. The accuracy of the present method is verified by using the energy balance relation for the reflection and transmission coefficients. The results are compared with those available in some earlier works.
Keywords: step bottom, flexural gravity wave, eigenfunction expansion, multiterm Galerkin's expansion, integral equations, reflection and transmission coefficients.
Received: 18.12.2020
Revised: 22.01.2021
Accepted: 01.03.2021
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 2, Pages 199–209
DOI: https://doi.org/10.1134/S0021894422020031
Bibliographic databases:
Document Type: Article
UDC: 551.465
Language: Russian
Citation: S. Paul, S. De, “Propagation of oblique flexural gravity waves over finite number of steps”, Prikl. Mekh. Tekh. Fiz., 63:2 (2022), 25–36; J. Appl. Mech. Tech. Phys., 63:2 (2022), 199–209
Citation in format AMSBIB
\Bibitem{PauDe22}
\by S.~Paul, S.~De
\paper Propagation of oblique flexural gravity waves over finite number of steps
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 2
\pages 25--36
\mathnet{http://mi.mathnet.ru/pmtf27}
\crossref{https://doi.org/10.15372/PMTF20220203}
\elib{https://elibrary.ru/item.asp?id=48408463}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 2
\pages 199--209
\crossref{https://doi.org/10.1134/S0021894422020031}
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    • This publication is cited in the following 1 articles:
    1. Sandip Paul, Soumen De, “Flexural gravity wave scattering due to a pair of asymmetric rectangular trenches”, Waves in Random and Complex Media, 2022, 1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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    References:23
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