A coupled-mode system with application to nonlinear water waves propagating in finite water depth and in variable bathymetry regions

dc.contributor.author	Βελιβασάκης, Κ.	el
dc.contributor.author	Αθανασούλης, Γεώργιος	el
dc.date.accessioned	2015-05-14T14:14:14Z
dc.date.available	2015-05-14T14:14:14Z
dc.date.issued	2015-05-14
dc.identifier.uri	http://hdl.handle.net/11400/10369
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	Coupled mode theory
dc.subject	συνδυασμός τρόπων
dc.subject	μη γραμμικά κύματα του νερού
dc.subject	πεπερασμένο βάθος
dc.subject	μεταβλητή βαθυμετρία
dc.subject	nonlinear water waves
dc.title	A coupled-mode system with application to nonlinear water waves propagating in finite water depth and in variable bathymetry regions	en
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.keywordURI	http://id.loc.gov/authorities/subjects/sh85033491
heal.identifier.secondary	DOI: 10.1016/j.coastaleng.2010.11.007
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2011-04
heal.bibliographicCitation	Belibassakis, K. & Athanassoulis, G. (2011). A coupled-mode system with application to nonlinear water waves propagating in finite water depth and in variable bathymetry regions. "Coastal Engineering". 58(4): p. 337-350	en
heal.abstract	A non-linear coupled-mode system of horizontal equations is presented, modelling the evolution of nonlinear water waves in finite depth over a general bottom topography. The vertical structure of the wave field is represented by means of a local-mode series expansion of the wave potential. This series contains the usual propagating and evanescent modes, plus two additional terms, the free-surface mode and the sloping-bottom mode, enabling to consistently treat the non-vertical end-conditions at the free-surface and the bottom boundaries. The present coupled-mode system fully accounts for the effects of non-linearity and dispersion, and the local-mode series exhibits fast convergence. Thus, a small number of modes (up to 5–6) are usually enough for precise numerical solution. In the present work, the coupled-mode system is applied to the numerical investigation of families of steady travelling wave solutions in constant depth, corresponding to a wide range of water depths, ranging from intermediate depth to shallow-water wave conditions, and its results are compared vs. Stokes and cnoidal wave theories, as well as with fully nonlinear Fourier methods. Furthermore, numerical results are presented for waves propagating over variable bathymetry regions and compared with nonlinear methods based on boundary integral formulation and experimental data, showing good agreement.	en
heal.journalName	Coastal Engineering	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true