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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2020, Volume 61, Issue 3, Pages 100–109
DOI: https://doi.org/10.15372/PMTF20200311 (Mi pmtf322) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Water wave scattering by a bottom-standing thick rectangular barrier in the presence of an ice cover

S. Raya, S. Dea, B. N. Mandalb

a University of Calcutta, Kolkata, 700 009, India
b Indian Statistical Institute, Indian Statistical Institute, Kolkata, 700108, India
Full-text PDF (294 kB) Citations (2)
DOI: https://doi.org/10.15372/PMTF20200311
Abstract: The problem of scattering of a normally incident surface wave train by an obstacle in the form of a thick rectangular vertical bottom-standing barrier submerged in finite-depth water with a free surface is extended here with an ice cover modelled as a thin uniform elastic plate. The problem is reduced to a set of singular integral equations of the first kind. The Galerkin approximation in terms of simple polynomials multiplied by appropriate weight functions whose form is dictated by the behavior of the fluid velocity near the barrier edges is used for solving the integral equations. The reflection and transmission coefficients are obtained numerically, and they are depicted graphically against the wavenumber for various ice cover parameters. It is observed that the barrier thickness plays a significant role in modelling of efficient breakwaters.
Keywords: water wave scattering, ice cover, thick barrier, integral equation, Galerkin approximation, reflection and transmission coefficients.
Funding agency Grant number
Council of Scientific and Industrial Research 09/028(1018)/2017-EMR-I
Science and Engineering Research Board EMR/2016/005315
Received: 03.09.2019
Revised: 29.11.2019
Accepted: 23.12.2019
English version:
Journal of Applied Mechanics and Technical Physics, 2020, Volume 61, Issue 3, Pages 400–408
DOI: https://doi.org/10.1134/S0021894420030116
Bibliographic databases:
Document Type: Article
UDC: 532.59:539.3
Language: Russian
Citation: S. Ray, S. De, B. N. Mandal, “Water wave scattering by a bottom-standing thick rectangular barrier in the presence of an ice cover”, Prikl. Mekh. Tekh. Fiz., 61:3 (2020), 100–109; J. Appl. Mech. Tech. Phys., 61:3 (2020), 400–408
Citation in format AMSBIB
\Bibitem{RayDeMan20}
\by S.~Ray, S.~De, B.~N.~Mandal
\paper Water wave scattering by a bottom-standing thick rectangular barrier in the presence of an ice cover
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2020
\vol 61
\issue 3
\pages 100--109
\mathnet{http://mi.mathnet.ru/pmtf322}
\crossref{https://doi.org/10.15372/PMTF20200311}
\elib{https://elibrary.ru/item.asp?id=42982068}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2020
\vol 61
\issue 3
\pages 400--408
\crossref{https://doi.org/10.1134/S0021894420030116}
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    • This publication is cited in the following 2 articles:
    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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