Three dimensional wave scattering by arrays of elliptical and circular cylinders

Chatjigeorgiou, IK

dc.contributor.author	Chatjigeorgiou, IK	en
dc.date.accessioned	2014-03-01T01:37:28Z
dc.date.available	2014-03-01T01:37:28Z
dc.date.issued	2011	en
dc.identifier.issn	0029-8018	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21511
dc.subject	Addition theorems	en
dc.subject	Elliptical cylinders	en
dc.subject	Hydrodynamic diffraction	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Engineering, Ocean	en
dc.subject.classification	Oceanography	en
dc.subject.classification	Water Resources	en
dc.subject.other	Addition theorem	en
dc.subject.other	Analytic solution	en
dc.subject.other	Arbitrary body	en
dc.subject.other	Different geometry	en
dc.subject.other	Elliptical cylinder	en
dc.subject.other	Exciting forces	en
dc.subject.other	Hydrodynamic interaction	en
dc.subject.other	Hydrodynamic pressure	en
dc.subject.other	Main tasks	en
dc.subject.other	Polar coordinate systems	en
dc.subject.other	Solution methods	en
dc.subject.other	Velocity potentials	en
dc.subject.other	Wave elevations	en
dc.subject.other	Wave scattering	en
dc.subject.other	Electromagnetic wave scattering	en
dc.subject.other	Hydrodynamics	en
dc.subject.other	Mathematical transformations	en
dc.subject.other	Three dimensional	en
dc.subject.other	Circular cylinders	en
dc.subject.other	analytical method	en
dc.subject.other	array	en
dc.subject.other	eccentricity	en
dc.subject.other	hydrodynamics	en
dc.subject.other	wave diffraction	en
dc.subject.other	wave scattering	en
dc.subject.other	wave velocity	en
dc.title	Three dimensional wave scattering by arrays of elliptical and circular cylinders	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.oceaneng.2011.07.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.oceaneng.2011.07.001	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Recently, Chatjigeorgiou and Mavrakos (2009, 2010a) provided an analytic solution for the three dimensional wave scattering by arrays of elliptical cylinders. The present paper extends the contents of the existing study to tackle the problem of the hydrodynamic interactions between elliptical and circular cylinders. The main task is to derive an analytic solution for the total velocity potential for an arbitrary body of the array and accordingly, to express the hydrodynamic pressure, the exciting forces and the wave elevation in compact analytic closed-forms. The solution method is rather complicated as it considers the circular cylinders as different geometries and not special cases of elliptical cylinders with zero elliptic eccentricity. Nevertheless, the adopted procedure enhances the mathematical reconstruction of the physical subject as it requires the derivation and the employment of addition theorems that transform expressions from elliptic to polar coordinate systems in all four possible combinations. (C) 2011 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Ocean Engineering	en
dc.identifier.doi	10.1016/j.oceaneng.2011.07.001	en
dc.identifier.isi	ISI:000295712200012	en
dc.identifier.volume	38	en
dc.identifier.issue	13	en
dc.identifier.spage	1480	en
dc.identifier.epage	1494	en