Surface waves over currents and uneven bottom

Compelli, Alan C.; Ivanov, Rossen I.; Martin, Calin I.; Todorov, Michail D.

doi:10.1016/j.dsr2.2018.11.004

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dc.contributor.author	Compelli, Alan C.
dc.contributor.author	Ivanov, Rossen I.
dc.contributor.author	Martin, Calin I.
dc.contributor.author	Todorov, Michail D.
dc.date.accessioned	2018-12-12T16:14:44Z
dc.date.available	2018-12-12T16:14:44Z
dc.date.issued	2018-11-13
dc.identifier.citation	Compelli, A. C., Ivanov, R. I., Martin, C. I. and Todorov, M. D. (2018) 'Surface waves over currents and uneven bottom', Deep Sea Research Part II: Topical Studies in Oceanography, In Press, doi: 10.1016/j.dsr2.2018.11.004	en
dc.identifier.startpage	1	en
dc.identifier.endpage	17	en
dc.identifier.issn	0967-0645
dc.identifier.uri	http://hdl.handle.net/10468/7208
dc.identifier.doi	10.1016/j.dsr2.2018.11.004
dc.description.abstract	The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom topography is taken into account since it also influences the local wave and current patterns. Specific scaling of the variables is selected which leads to approximations of Boussinesq and KdV types. The arising KdV equation with variable coefficients, dependent on the bottom topography, is studied numerically when the initial condition is in the form of the one soliton solution for the initial depth. Emergence of new solitons is observed as a result of the wave interaction with the uneven bottom.	en
dc.description.sponsorship	Dublin Institute of Technology (Fiosraigh fellowship); Bulgarian Science Fund (grant DFNI I-02/9)	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Elsevier	en
dc.relation.uri	http://www.sciencedirect.com/science/article/pii/S0967064518301280
dc.rights	© 2018 Elsevier Ltd. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license	en
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	en
dc.subject	Ocean waves	en
dc.subject	Bottom topography	en
dc.subject	Surface waves	en
dc.subject	Wave interaction	en
dc.subject	Wave surface	en
dc.subject	Ocean energy	en
dc.subject	Wave energy	en
dc.title	Surface waves over currents and uneven bottom	en
dc.type	Article (peer-reviewed)	en
dc.internal.authorcontactother	Alan Compelli, School Of Mathematical Sciences, University College Cork, Cork, Ireland. +353-21-490-3000 Email: alan.compelli@ucc.ie	en
dc.internal.availability	Full text available	en
dc.check.info	Access to this article is restricted until 24 months after publication by request of the publisher.	en
dc.check.date	2020-11-13
dc.date.updated	2018-12-12T15:21:30Z
dc.description.version	Accepted Version	en
dc.internal.rssid	465294414
dc.contributor.funder	Erwin Schrödinger International Institute for Mathematics and Physics	en
dc.contributor.funder	Dublin Institute of Technology	en
dc.contributor.funder	Science Foundation Ireland	en
dc.contributor.funder	Bulgarian National Science Fund	en
dc.description.status	Peer reviewed	en
dc.identifier.journaltitle	Deep Sea Research Part Ii: Topical Studies In Oceanography	en
dc.internal.copyrightchecked	Yes	en
dc.internal.licenseacceptance	Yes	en
dc.internal.IRISemailaddress	alan.compelli@ucc.ie	en
dc.internal.bibliocheck	In Press Dec 2018. Update citation, start page, end page. Add volume, issue	en
dc.relation.project	info:eu-repo/grantAgreement/SFI/SFI Career Development Award/13/CDA/2117/IE/Nonlinear wave-current interactions in the nearshore: addressing the role of vorticity and nonlinearity in the modelling of ocean energy/	en