A boundary integral equation method for oblique water-wave scattering by cylinders governed by the modified Helmholtz equation

Politis, CG; Papalexandris, MV; Athanassoulis, GA

dc.contributor.author	Politis, CG	en
dc.contributor.author	Papalexandris, MV	en
dc.contributor.author	Athanassoulis, GA	en
dc.date.accessioned	2014-03-01T01:17:20Z
dc.date.available	2014-03-01T01:17:20Z
dc.date.issued	2002	en
dc.identifier.issn	0141-1187	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14465
dc.subject	Boundary integral equation	en
dc.subject	Fluid-structure interaction	en
dc.subject	Free-surface hydrodynamics	en
dc.subject	Modified Helmholtz equation	en
dc.subject	Oblique seas	en
dc.subject	Water waves	en
dc.subject.classification	Engineering, Ocean	en
dc.subject.classification	Oceanography	en
dc.subject.other	Algorithms	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Diffraction	en
dc.subject.other	Green's function	en
dc.subject.other	Integral equations	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Fluid motions	en
dc.subject.other	Water wave effects	en
dc.subject.other	cylinder	en
dc.subject.other	Green function	en
dc.subject.other	mathematical method	en
dc.subject.other	water wave	en
dc.subject.other	wave-structure interaction	en
dc.subject.other	boundary integral method	en
dc.subject.other	cylinder	en
dc.subject.other	Green function	en
dc.subject.other	Helmholtz equation	en
dc.subject.other	water wave	en
dc.subject.other	wave-structure interaction	en
dc.title	A boundary integral equation method for oblique water-wave scattering by cylinders governed by the modified Helmholtz equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0141-1187(02)00047-0	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0141-1187(02)00047-0	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	In this work we are concerned with the interaction of a train of regular deep-water waves with an infinitely long, surface-piercing or submerged cylinder of arbitrary shape (diffraction problem). We are also concerned with the complementary problem of fluid motion induced by the forced oscillations of the cylinder in each of its degrees of freedom: heave, sway, and roll (generalized radiation problem). The amplitude of the oscillation is assumed to vary sinusoidally along the cylinder axis. The problem is solved via the Boundary Integral Equation method by using an appropriate Green function and Green's second identity. According to this method, the initial boundary value problem is formulated as a Fredholm integral equation of the second kind posed on the body boundary. The efficiency of the method depends on the accuracy with which the numerical evaluation of the Green function is performed. For this purpose we employ two alternative representations of the Green function, in conjunction with fast and accurate algorithms for the numerical integration of highly oscillatory functions. Numerical results are presented for a floating semi-circle, a floating inverse T, a submerged circle, and a submerged rectangular cylinder. The efficiency and accuracy of the proposed algorithm is tested with existing results, as well as results for the limiting case of the Laplace equation for which much information is available. (C) 2003 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Applied Ocean Research	en
dc.identifier.doi	10.1016/S0141-1187(02)00047-0	en
dc.identifier.isi	ISI:000181877700003	en
dc.identifier.volume	24	en
dc.identifier.issue	4	en
dc.identifier.spage	215	en
dc.identifier.epage	233	en