Surface waves over currents and uneven bottom

dc.check.date2020-11-13
dc.check.infoAccess to this article is restricted until 24 months after publication by request of the publisher.en
dc.contributor.authorCompelli, Alan C.
dc.contributor.authorIvanov, Rossen I.
dc.contributor.authorMartin, Calin I.
dc.contributor.authorTodorov, Michail D.
dc.contributor.funderErwin Schrödinger International Institute for Mathematics and Physicsen
dc.contributor.funderDublin Institute of Technologyen
dc.contributor.funderScience Foundation Irelanden
dc.contributor.funderBulgarian National Science Funden
dc.date.accessioned2018-12-12T16:14:44Z
dc.date.available2018-12-12T16:14:44Z
dc.date.issued2018-11-13
dc.date.updated2018-12-12T15:21:30Z
dc.description.abstractThe 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.sponsorshipDublin Institute of Technology (Fiosraigh fellowship); Bulgarian Science Fund (grant DFNI I-02/9)en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationCompelli, 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.dsr2.2018.11.004en
dc.identifier.doi10.1016/j.dsr2.2018.11.004
dc.identifier.endpage17en
dc.identifier.issn0967-0645
dc.identifier.journaltitleDeep Sea Research Part Ii: Topical Studies In Oceanographyen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/7208
dc.language.isoenen
dc.publisherElsevieren
dc.relation.projectinfo: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
dc.relation.urihttp://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 licenseen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectOcean wavesen
dc.subjectBottom topographyen
dc.subjectSurface wavesen
dc.subjectWave interactionen
dc.subjectWave surfaceen
dc.subjectOcean energyen
dc.subjectWave energyen
dc.titleSurface waves over currents and uneven bottomen
dc.typeArticle (peer-reviewed)en
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