Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed

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dc.contributor.authorHenry, David
dc.contributor.authorThomas, Gareth P.
dc.contributor.funderScience Foundation Irelanden
dc.contributor.funderEngineering and Physical Sciences Research Councilen
dc.date.accessioned2021-11-09T16:55:20Z
dc.date.available2021-11-09T16:55:20Z
dc.date.issued2017-12-11
dc.date.updated2021-05-20T12:23:49Z
dc.description.abstractThis paper considers the pressure–streamfunction relationship for a train of regular water waves propagating on a steady current, which may possess an arbitrary distribution of vorticity, in two dimensions. The application of such work is to both near shore and offshore environments, and in particular, for linear waves we provide a description of the role which the pressure function on the seabed plays in determining the free-surface profile elevation. Our approach is shown to provide a good approximation for a range of current conditions.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHenry, D. and Thomas, G. P. (2018) 'Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed', Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences, 376, 2111 (21 pp). doi: 10.1098/rsta.2017.0102en
dc.identifier.doi10.1098/rsta.2017.0102en
dc.identifier.endpage21en
dc.identifier.issn1364-503X
dc.identifier.issued2111en
dc.identifier.journaltitlePhilosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciencesen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/12182
dc.identifier.volume376en
dc.language.isoenen
dc.publisherThe Royal Societyen
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.projectinfo:eu-repo/grantAgreement/UKRI/EPSRC/EP/K032208/1/GB/Isaac Newton Institute for Mathematical Sciences/en
dc.relation.urihttps://royalsocietypublishing.org/doi/10.1098/rsta.2017.0102
dc.rights© 2017 The Author(s) Published by the Royal Society.en
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subjectWater wavesen
dc.subjectWave–current interactionsen
dc.subjectPressure recoveryen
dc.titlePrediction of the free-surface elevation for rotational water waves using the recovery of pressure at the beden
dc.typeArticle (peer-reviewed)en
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