Scattering of oblique water waves by an infinite step

• Autorzy: Dolai P. , Dolai D. P.

Identyfikatory

DOI

10.2478/ijame-2018-0018

• Języki publikacji: EN

Abstrakty

EN

The present paper is concerned with the problem of scattering of obliquely incident surface water wave train passing over a step bottom between the regions of finite and infinite depth. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultra spherical Gegenbauer polynomials are utilized to obtain very accurate numerical estimates for reflection and transmission coefficients. The numerical results are illustrated in tables.

Słowa kluczowe

EN

infinite step; Havelock expansion; Galerkin approximation; Gegenbauer polynomial; reflection and transmission coefficients

PL

aproksymacja Galerkina; wielomian Gegenbauera; współczynnik transmisji

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2018
• Tom: Vol. 23, no. 2
• Strony: 327--338
• Opis fizyczny: Bibliogr. 20 poz., rys., tab.

Twórcy

autor

Dolai P.

• Department of Mathematics Prasannadeb Women's College Jalpaiguri-735101, West Bengal, INDIA

autor

Dolai D. P.

• River Research Institute, West Bengal Haringhata Central Laboratory Mohanpur, Nadia, Pin-741246, INDIA

Bibliografia

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• [5] Mandal B.N. and Dolai D.P. (1994): Oblique water wave diffraction by thin vertical barriers in water of uniform finite depth. – Appl. Ocean Res., vol.16, pp.195-203.
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• [13] Dolai D.P. and Dolai P. (2010): Interface wave diffraction by bottom undulations in the presence of a thin plate submerged in lower fluid. – Int. J. Appl. Mech. and Engg. vol.15, pp.1017-1036.
• [14] Stoker J.J. (1957): WaterWwaves. – New York: Interscience.
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• [19] Kanoria M., Dolai D.P. and Mandal B.N. (1999): Water wave scattering by thick vertical barriers. – J. Eng. Math., vol.35, pp.361-384.
• [20] Dolai P. (2017): Oblique water wave diffraction by a step. – Int. J. Appl. Mech. and Engg., vol.22, pp.35-47.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018)