A Coupled-Mode, Fully-dispersive, Weakly-nonlinear Model for Water Waves over a General Bathymetry

Athanassoulis, GA; Belibassakis, KA

dc.contributor.author	Athanassoulis, GA	en
dc.contributor.author	Belibassakis, KA	en
dc.date.accessioned	2014-03-01T02:49:11Z
dc.date.available	2014-03-01T02:49:11Z
dc.date.issued	2002	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34396
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-1842479607&partnerID=40&md5=494f51b168a3cc76c11a741c66f06504	en
dc.subject	Coupled-modes	en
dc.subject	Nonlinear waves	en
dc.subject	Numerical solution	en
dc.subject	Variable bathymetry	en
dc.subject.other	Bathymetry	en
dc.subject.other	Boundary layers	en
dc.subject.other	Differential equations	en
dc.subject.other	Incompressible flow	en
dc.subject.other	Kinematics	en
dc.subject.other	Mathematical models	en
dc.subject.other	Navier Stokes equations	en
dc.subject.other	Numerical methods	en
dc.subject.other	Viscosity	en
dc.subject.other	Wave propagation	en
dc.subject.other	Coupled modes	en
dc.subject.other	Nonlinear waves	en
dc.subject.other	Numerical solutions	en
dc.subject.other	Variable bathymetry	en
dc.subject.other	Water waves	en
dc.title	A Coupled-Mode, Fully-dispersive, Weakly-nonlinear Model for Water Waves over a General Bathymetry	en
heal.type	conferenceItem	en
heal.publicationDate	2002	en
heal.abstract	In this paper a coupled-mode system of horizontal equations is derived with the aid of Luke's (1967) variational principle, which models the evolution of nonlinear water waves in intermediate depth over a general bathymetry. The vertical structure of the wave field is exactly represented by means of a local-mode series expansion of the wave potential, Athanassoulis & Belibassakis (2000). This series contains the usual propagating and evanescent modes, plus two additional modes, enabling to consistently treat the non-vertical end-conditions at the free-surface and the bottom boundaries. The system fully accounts for the effects of non-linearity and dispersion. In the present work the fully nonlinear coupled-mode system is simplified keeping only up to second-order terms, and the derived weakly non-linear model is applied to water waves propagating over a fiat bottom and over an arbitrary bathymetry, in the time and in the frequency domain.	en
heal.journalName	Proceedings of the International Offshore and Polar Engineering Conference	en
dc.identifier.volume	12	en
dc.identifier.spage	248	en
dc.identifier.epage	255	en