Oblique Water Wave Diffraction by a Step
2017 ◽
Vol 22
(1)
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pp. 35-47
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Keyword(s):
Abstract This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step. 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 ultraspherical Gegenbauer polynomials are utilized to obtain a very accurate numerical estimate for reflection and transmission coefficients which are depicted graphically. From these figures various interesting results are discussed.
2018 ◽
Vol 23
(2)
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pp. 327-338
2017 ◽
Vol 22
(6)
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pp. 827-851
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1994 ◽
Vol 52
(3)
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pp. 443-456
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2007 ◽
Vol 87
(4)
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pp. 314-321
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2018 ◽
Vol 15
(5)
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pp. 2209-2220