Development and study of Green's function for water waves over variable bathymetry domains

Athanassoulis Gerassimos, A; Belibassakis Konstadinos, A

dc.contributor.author	Athanassoulis Gerassimos, A	en
dc.contributor.author	Belibassakis Konstadinos, A	en
dc.date.accessioned	2014-03-01T02:48:40Z
dc.date.available	2014-03-01T02:48:40Z
dc.date.issued	1998	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/33998
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0031674499&partnerID=40&md5=f3f40ee6cc4d67ee115a60b21ee19e28	en
dc.subject.other	Bathymetry	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Fluid structure interaction	en
dc.subject.other	Functions	en
dc.subject.other	Green's function	en
dc.subject.other	Mathematical models	en
dc.subject.other	Modal analysis	en
dc.subject.other	Variational techniques	en
dc.subject.other	Horizontal coupled mode equations	en
dc.subject.other	Modal amplitude functions	en
dc.subject.other	Water waves	en
dc.title	Development and study of Green's function for water waves over variable bathymetry domains	en
heal.type	conferenceItem	en
heal.publicationDate	1998	en
heal.abstract	An enhanced local-mode representation of the wave potential in variable bathymetry regions is applied to the problem of propagation of water waves, emitted from a monochromatic point source. The representation includes, except of the propagating mode and the infinite system of evanescent modes, also an additional mode, which takes into account the effects of the bottom slope. Using this representation in conjunction with a variational principle, a forced system of horizontal coupled-mode equations is derived for the determination of the complex modal-amplitude functions. This system contains an additional equation associated with the sloping-bottom mode and produces solutions consistent with the bottom boundary condition. The present method provides the means for the efficient treatment of complex wave-body interaction problems, in the case when the structures are large and thus the local bathymetry variation effects are important.	en
heal.publisher	ASCE, Reston, VA, United States	en
heal.journalName	Proceedings of the International OTRC Symposium	en
dc.identifier.spage	412	en
dc.identifier.epage	419	en