A coupled-mode model for water wave scattering by horizontal, non-homogeneous current in general bottom topography

dc.contributor.author	Βελιβασάκης, Κ.	el
dc.contributor.author	Γεροστάθης, Θεόδωρος	el
dc.contributor.author	Αθανασούλης, Γ.	el
dc.date.accessioned	2015-05-14T13:28:51Z
dc.date.available	2015-05-14T13:28:51Z
dc.date.issued	2015-05-14
dc.identifier.uri	http://hdl.handle.net/11400/10368
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://www.sciencedirect.com	en
dc.subject	υποθαλάσσια αλληλεπίδραση κύματος-ρεύματος
dc.subject	συνδυασμός τρόπων
dc.subject	Wave–current–seabed interaction
dc.subject	Coupled modes
dc.title	A coupled-mode model for water wave scattering by horizontal, non-homogeneous current in general bottom topography	el
heal.type	journalArticle
heal.classification	Τεχνολογία
heal.classification	Ναυπηγική
heal.classification	Technology
heal.classification	Naval architecture
heal.classificationURI	N/A-Τεχνολογία
heal.classificationURI	N/A-Ναυπηγική
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85133147
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85090355
heal.identifier.secondary	DOI:10.1016/j.apor.2011.05.004
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2011-10
heal.bibliographicCitation	Belibassakis, K., Gerostathis, Th. & Athanassoulis, G. (2011). A coupled-mode model for water wave scattering by horizontal, non-homogeneous current in general bottom topography. "Applied Ocean Research". 33(4): p. 384-397	el
heal.abstract	A coupled-mode model is developed for treating the wave–current–seabed interaction problem, with application to wave scattering by non-homogeneous, steady current over general bottom topography. The vertical distribution of the scattered wave potential is represented by a series of local vertical modes containing the propagating mode and all evanescent modes, plus additional terms accounting for the satisfaction of the free-surface and bottom boundary conditions. Using the above representation, in conjunction with unconstrained variational principle, an improved coupled system of differential equations on the horizontal plane, with respect to the modal amplitudes, is derived. In the case of small-amplitude waves, a linearised version of the above coupled-mode system is obtained, generalizing previous results by Athanassoulis and Belibassakis [J Fluid Mech 1999;389:275–301] for the propagation of small-amplitude water waves over variable bathymetry regions. Keeping only the propagating mode in the vertical expansion of the wave potential, the present system reduces to an one-equation model, that is shown to be compatible with mild-slope model concerning wave–current interaction over slowly varying topography, and in the case of no current it exactly reduces to the modified mild-slope equation. The present coupled-mode system is discretized on the horizontal plane by using second-order finite differences and numerically solved by iterations. Results are presented for various representative test cases demonstrating the usefulness of the model, as well as the importance of the first evanescent modes and the additional sloping-bottom mode when the bottom slope is not negligible. The analytical structure of the present model facilitates its extension to fully non-linear waves, and to wave scattering by currents with more general structure.	en
heal.journalName	Applied Ocean Research	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true