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dc.contributor.authorJalali, MRen
dc.contributor.authorBorthwick, Aen
dc.date.accessioned2021-08-22T16:53:32Z
dc.date.available2021-08-22T16:53:32Z
dc.date.issued2017-06-01en
dc.identifier.issn1755-0777en
dc.identifier.urihttp://hdl.handle.net/10026.1/17707
dc.description.abstract

This paper presents a verified model of weakly non-linear wave sloshing in shallow basins, based on level I Green-Naghdi (GN) mass and momentum equations derived for mild-sloped beds. The model is verified for sloshing of an initially sinusoidal free surface perturbation in a square tank with a horizontal bed. The model is also used to investigate free surface sloshing of an initial Gaussian hump in closed square basins, over horizontal and nonuniform bed topographies. Analysis of the free surface slosh motions demonstrates that the model gives predictions in satisfactory agreement with the analytical solution of linearised shallow water theory obtained by Lamb. Discrepancies between GN predictions and linear analytical solutions arise from the effect of wave non-linearities arising from the wave amplitude itself and wave-wave interactions.

en
dc.format.extent49 - 70en
dc.language.isoenen
dc.titleOne-dimensional and two-dimensional green-naghdi equations for sloshing in shallow basinsen
dc.typeJournal Article
plymouth.issue2en
plymouth.volume170en
plymouth.publication-statusPublisheden
plymouth.journalProceedings of the Institution of Civil Engineers: Engineering and Computational Mechanicsen
dc.identifier.doi10.1680/jencm.16.00021en
plymouth.organisational-group/Plymouth
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics
plymouth.organisational-group/Plymouth/Users by role
plymouth.organisational-group/Plymouth/Users by role/Academics
dc.identifier.eissn1755-0785en
dc.rights.embargoperiodNot knownen
rioxxterms.versionofrecord10.1680/jencm.16.00021en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.typeJournal Article/Reviewen


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