A coupled-mode model for the scattering of water waves by shearing currents in variable bathymetry

Belibassakis, KA

dc.contributor.author	Belibassakis, KA	en
dc.date.accessioned	2014-03-01T01:25:39Z
dc.date.available	2014-03-01T01:25:39Z
dc.date.issued	2007	en
dc.identifier.issn	0022-1120	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17710
dc.subject	Water Waves	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.other	Bathymetry	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Mathematical models	en
dc.subject.other	Ocean currents	en
dc.subject.other	Pressure distribution	en
dc.subject.other	Variational techniques	en
dc.subject.other	Incident wave	en
dc.subject.other	Shearing current	en
dc.subject.other	Water waves	en
dc.subject.other	Bathymetry	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Mathematical models	en
dc.subject.other	Ocean currents	en
dc.subject.other	Pressure distribution	en
dc.subject.other	Variational techniques	en
dc.subject.other	Water waves	en
dc.subject.other	bathymetry	en
dc.subject.other	numerical model	en
dc.subject.other	water wave	en
dc.subject.other	wave scattering	en
dc.subject.other	wave-current interaction	en
dc.subject.other	wave-seafloor interaction	en
dc.title	A coupled-mode model for the scattering of water waves by shearing currents in variable bathymetry	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0022112007005125	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0022112007005125	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	A coupled-mode model is presented for wave-current-seabed interaction, with application to the problem of wave scattering by ambient shearing currents in variable bathymetry regions. We consider obliquely incident waves on a horizontally non-homogeneous current in a variable-depth strip, which is characterized by straight and parallel bottom contours. The flow associated with the current is assumed to be directed along the bottom contours and it is considered to be steady and known. In a finite subregion containing the bottom irregularity, we assume that the horizontal current profile is general and smoothly varying. Outside this region, the current is assumed to be uniform (or zero). Based on a variational principle, in conjunction with a rapidly convergent local-mode series expansion of the wave pressure field in the finite subregion containing the current variation and the bottom irregularity, a new coupled-mode system of equations is obtained, governing the scattering of waves in the presence of variable bathymetry and longshore shearing currents. By keeping only the propagating mode in the local-mode series, a new one-equation model is derived, having the property to reduce to the modified mild-slope equation when the current is zero, and to the enhanced mild-shear equation when the bottom is flat. An important aspect of the present model is that it can be further elaborated to treat shearing currents with general, depth-dependent vertical structure, and to include the effects of weak nonlinearity. © Cambridge University Press 2007.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Journal of Fluid Mechanics	en
dc.identifier.doi	10.1017/S0022112007005125	en
dc.identifier.isi	ISI:000246672600018	en
dc.identifier.volume	578	en
dc.identifier.spage	413	en
dc.identifier.epage	434	en