An analytical approach for the solution of the hydrodynamic diffraction by arrays of elliptical cylinders

Chatjigeorgiou, IK; Mavrakos, SA

dc.contributor.author	Chatjigeorgiou, IK	en
dc.contributor.author	Mavrakos, SA	en
dc.date.accessioned	2014-03-01T01:32:39Z
dc.date.available	2014-03-01T01:32:39Z
dc.date.issued	2010	en
dc.identifier.issn	0141-1187	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20202
dc.subject	Addition theorems	en
dc.subject	Elliptical cylinders	en
dc.subject	Hydrodynamic diffraction	en
dc.subject	Mathieu functions	en
dc.subject.classification	Engineering, Ocean	en
dc.subject.classification	Oceanography	en
dc.subject.other	Addition theorem	en
dc.subject.other	Analytical approach	en
dc.subject.other	Diffracted waves	en
dc.subject.other	Elliptic coordinates	en
dc.subject.other	Elliptical cylinder	en
dc.subject.other	Elliptical cylinders	en
dc.subject.other	Incident waves	en
dc.subject.other	Linear hydrodynamics	en
dc.subject.other	Mathieu functions	en
dc.subject.other	Odd-periodic	en
dc.subject.other	Semi-analytical solution	en
dc.subject.other	Cylinders (shapes)	en
dc.subject.other	Hydrodynamics	en
dc.subject.other	Laplace equation	en
dc.subject.other	Fluid dynamics	en
dc.subject.other	cylinder	en
dc.subject.other	diffraction	en
dc.subject.other	fluid mechanics	en
dc.subject.other	hydrodynamics	en
dc.subject.other	Laplace transform	en
dc.title	An analytical approach for the solution of the hydrodynamic diffraction by arrays of elliptical cylinders	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.apor.2009.11.004	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.apor.2009.11.004	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	This paper presents a semi-analytical solution methodology for the linear hydrodynamic diffraction induced by arrays of elliptical cylinders subjected to incident waves. The solution of the Laplace equation in elliptic coordinates for both the incident and the diffracted waves is formulated analytically in terms of the even and odd periodic and radial Mathieu functions. The main contribution herein is the employment of the so-called addition theorem for Mathieu functions, which for the purposes of the present work is properly modified and eventually expressed in terms of the even and odd periodic and radial Mathieu functions. (C) 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Applied Ocean Research	en
dc.identifier.doi	10.1016/j.apor.2009.11.004	en
dc.identifier.isi	ISI:000281263200009	en
dc.identifier.volume	32	en
dc.identifier.issue	2	en
dc.identifier.spage	242	en
dc.identifier.epage	251	en