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dc.contributor.authorTyvand, Peder A.
dc.contributor.authorNøland, Jonas Kristiansen
dc.date.accessioned2021-05-26T11:41:45Z
dc.date.available2021-05-26T11:41:45Z
dc.date.created2021-03-13T11:07:40Z
dc.date.issued2021
dc.identifier.citationJournal of Engineering Mathematics. 2021, 127 (14), .
dc.identifier.issn0022-0833
dc.identifier.urihttps://hdl.handle.net/11250/2756442
dc.description.abstractA stagnant free-surface flow is an instantaneous flow field of pure acceleration with zero velocity and a deformed surface. There exists a potential-flow acceleration field. With zero velocity and the acceleration field given, there is a limiting free-surface position which possesses one peak at its point of highest elevation. By complex analysis, it can be shown that the surface peak has a right angle. We elaborate on an elementary model of two-dimensional stagnant free-surface flow with a peak. Our model may serve to describe a situation of maximal single-wave run-up with a given energy at a uniformly sloping beach. The highest possible run-up of an incoming solitary wave corresponds to zero kinetic energy. It encompasses an idealized situation where the kinetic wave energy is converted into potential energy in a water mass piling up along the slope to become stagnant at one single moment. Multipoles with singularities outside the fluid domain may give rise to a smooth and gradual deceleration needed for a non-breaking run-up process. A pair of dipoles with an orientation perpendicular to a given slope represents the stagnant acceleration fields with the highest surface peak spatially concentrated along the slope. Thereby, a one-parameter family of surface shapes is constituted, only dependent on the slope angle. The initial flow field, the initial free surface, the initial isobars and the geometric parameters are all calculated for different slope angles.
dc.language.isoeng
dc.relation.urihttps://link.springer.com/article/10.1007%2Fs10665-020-10074-3
dc.titleStagnant peaked free surface released at a sloping beach
dc.typePeer reviewed
dc.typeJournal article
dc.description.versionpublishedVersion
dc.source.pagenumber19
dc.source.volume127
dc.source.journalJournal of Engineering Mathematics
dc.source.issue14
dc.identifier.doi10.1007/s10665-020-10074-3
dc.identifier.cristin1897818
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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