A coupled-mode model for the refraction-diffraction of linear waves over steep three-dimensional bathymetry

Belibassakis, KA; Athanassoulis, GA; Gerostathis, ThP

dc.contributor.author	Belibassakis, KA	en
dc.contributor.author	Athanassoulis, GA	en
dc.contributor.author	Gerostathis, ThP	en
dc.date.accessioned	2014-03-01T01:15:59Z
dc.date.available	2014-03-01T01:15:59Z
dc.date.issued	2001	en
dc.identifier.issn	0141-1187	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13868
dc.subject	Coupled-mode model	en
dc.subject	Refraction-diffraction	en
dc.subject	Sloping-bottom	en
dc.subject.classification	Engineering, Ocean	en
dc.subject.classification	Oceanography	en
dc.subject.other	Bathymetry	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary layers	en
dc.subject.other	Diffraction	en
dc.subject.other	Mathematical models	en
dc.subject.other	Refraction	en
dc.subject.other	Sediment transport	en
dc.subject.other	Water waves	en
dc.subject.other	Coupled-mode model	en
dc.subject.other	Linear waves	en
dc.subject.other	Oceanography	en
dc.subject.other	bathymetry	en
dc.subject.other	diffraction	en
dc.subject.other	gravity wave	en
dc.subject.other	numerical model	en
dc.subject.other	refraction	en
dc.title	A coupled-mode model for the refraction-diffraction of linear waves over steep three-dimensional bathymetry	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0141-1187(02)00004-4	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0141-1187(02)00004-4	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	A consistent coupled-mode model recently developed by Athanassoulis and Belibassakis [1], is generalized in 2 + 1 dimensions and applied to the diffraction of small-amplitude water waves from localized three-dimensional scatterers lying over a parallel-contour bathymetry. The wave field is decomposed into an incident field, carrying out the effects of the background bathymetry, and a diffraction field, with forcing restricted on the surface of the localized scatterer(s). The vertical distribution of the wave potential is represented by a uniformly convergent local-mode series containing, except of the ususal propagating and evanescent modes, an additional mode, accounting for the sloping bottom boundary condition. By applying a variational principle, the problem is reduced to a coupled-mode system of differential equations in the horizontal space. To treat the unbounded domain, the Berenger perfectly matched layer model is optimized and used as an absorbing boundary condition. Computed results are compared with other simpler models and verified against experimental data. The inclusion of the sloping-bottom mode in the representation substantially accelerates its convergence, and thus, a few modes are enough to obtain accurately the wave potential and velocity up to and including the boundaries, even in steep bathymetry regions. The present method provides high-quality information concerning the pressure and the tangential velocity at the bottom, useful for the study of oscillatinga bottom boundary layer, sea-bed movement and sediment transport studies. (C) 2002 Published by Elsevier Science Ltd.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Applied Ocean Research	en
dc.identifier.doi	10.1016/S0141-1187(02)00004-4	en
dc.identifier.isi	ISI:000175512900002	en
dc.identifier.volume	23	en
dc.identifier.issue	6	en
dc.identifier.spage	319	en
dc.identifier.epage	336	en