A unified coupled-mode approach to nonlinear waves in finite depth potential flow

Athanassoulis, GA; Belibassakis, KA

dc.contributor.author	Athanassoulis, GA	en
dc.contributor.author	Belibassakis, KA	en
dc.date.accessioned	2014-03-01T02:51:32Z
dc.date.available	2014-03-01T02:51:32Z
dc.date.issued	2008	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35545
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-70349315797&partnerID=40&md5=f504e87e052880379487412754eabcac	en
dc.subject.other	Bottom topography	en
dc.subject.other	Cnoidal wave	en
dc.subject.other	Evanescent mode	en
dc.subject.other	Experimental data	en
dc.subject.other	Finite depth	en
dc.subject.other	Free surfaces	en
dc.subject.other	Intermediate depths	en
dc.subject.other	Mode approach	en
dc.subject.other	Non-linear	en
dc.subject.other	Non-Linearity	en
dc.subject.other	Nonlinear water waves	en
dc.subject.other	Nonlinear waves	en
dc.subject.other	Numerical investigations	en
dc.subject.other	Numerical results	en
dc.subject.other	Numerical solution	en
dc.subject.other	Second-order stokes	en
dc.subject.other	Series expansion	en
dc.subject.other	Shallow-water waves	en
dc.subject.other	Standard model	en
dc.subject.other	Traveling wave solution	en
dc.subject.other	Variable bathymetry	en
dc.subject.other	Variational principles	en
dc.subject.other	Vertical structures	en
dc.subject.other	Water depth	en
dc.subject.other	Wave potentials	en
dc.subject.other	Wavefields	en
dc.subject.other	Arctic engineering	en
dc.subject.other	Hydrodynamics	en
dc.subject.other	Mechanics	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Renewable energy resources	en
dc.subject.other	Technical presentations	en
dc.subject.other	Variational techniques	en
dc.subject.other	Wave propagation	en
dc.subject.other	Water waves	en
dc.title	A unified coupled-mode approach to nonlinear waves in finite depth potential flow	en
heal.type	conferenceItem	en
heal.publicationDate	2008	en
heal.abstract	A non-linear coupled-mode system of horizontal equations is presented, as derived from Luke's (1967) variational principle, which models the evolution of nonlinear water waves in intermediate depth over a general bottom topography. The vertical structure of the wave field is represented by means of a complete 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 has the following main features: (i) various standard models of water-wave propagation are recovered by appropriate simplifications, and (ii) it exhibits fast convergenge, and thus, a small number of modes (up to 5) are usually enough for the precise numerical solution, provided that the two new modes (the free-surface and the sloping-bottom ones) are included in the local-mode series. In the present work, the couplcd-mode system is applied to the numerical investigation of families of steady traveling wave solutions in constant depth, corresponding to a wide range of water depths, ranging from intermediate to shallow-water wave conditions and its results are compared vs. Stokes and cnoidal wave theories, respectively. Also, numerical results are presented for waves propagating over variable bathymetry regions and compared with second-order Stokes theory and experimental data. Copyright © 2008 by ASME.	en
heal.journalName	Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE	en
dc.identifier.volume	6	en
dc.identifier.spage	201	en
dc.identifier.epage	208	en