Wave interaction with multiple floating elastic plates with arbitrary constraints near a sloping beach

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dc.contributor.authorYang, Yifeng
dc.contributor.authorHuang, Luofeng
dc.contributor.authorMeylan, Michael H.
dc.date.accessioned2025-03-25T14:56:43Z
dc.date.available2025-03-25T14:56:43Z
dc.date.freetoread2025-03-25
dc.date.issued2025-03-01
dc.date.pubOnline2025-03-03
dc.description.abstractThe problem of wave interaction with multiple elastic plates floating near a sloping beach is considered, particularly resembling the case of a floating solar farm near a coast. The linearized shallow water theory is adopted to describe the motion of fluid. The Kirchhoff–Love plate theory is used to model the elastic plates. A highly efficient domain decomposition approach is applied to derive the solution. Particularly, the eigenfunction expansions are employed to establish the velocity potential in free surface fluid domains, while the Green function method is used to construct the velocity potential of the fluid domain covered by floating elastic plates. This approach can significantly reduce the number of unknowns in the velocity potential, especially when a large number of plates are involved. Extensive results and discussions are provided for the wave run-up on the beach, maximum deflection, and principal strain on the elastic plates. In particular, based on a wide space approximated solution, the oscillatory behaviour of the wave run-up vs the incident wavenumber is analysed, along with the corresponding physical mechanisms. Furthermore, apart from the frequency-domain results, time-domain analyses are also conducted based on a Fourier transform approach. Two different types of incident impulses are considered to interact with floating elastic plates near a beach, namely a Gaussian wave packet and a storm-type incident wave.
dc.description.journalNamePhysics of Fluids
dc.description.sponsorshipRoyal Society, Innovate UK, National Natural Science Foundation of China
dc.description.sponsorshipL.H. acknowledges grants received from Innovate UK (Nos. 10048187, 10079774, and 10081314), the Royal Society (IEC\NSFC\223253, RG R2 232462), and UK Department for Transport (TRIG2023—No. 30066).
dc.identifier.citationYang Y, Huang L, Meylan MH. (2025) Wave interaction with multiple floating elastic plates with arbitrary constraints near a sloping beach. Physics of Fluids, Volume 37, Issue 3, March 2025, Article number 032103
dc.identifier.eissn1089-7666
dc.identifier.elementsID565791
dc.identifier.issn1070-6631
dc.identifier.issueNo3
dc.identifier.paperNo032103
dc.identifier.urihttps://doi.org/10.1063/5.0257242
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/23645
dc.identifier.volumeNo37
dc.languageEnglish
dc.language.isoen
dc.publisherAIP Publishing
dc.publisher.urihttps://pubs.aip.org/aip/pof/article/37/3/032103/3338233/Wave-interaction-with-multiple-floating-elastic
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject4015 Maritime Engineering
dc.subject40 Engineering
dc.subjectFluids & Plasmas
dc.subject40 Engineering
dc.subject49 Mathematical sciences
dc.subject51 Physical sciences
dc.titleWave interaction with multiple floating elastic plates with arbitrary constraints near a sloping beach
dc.typeArticle
dc.type.subtypeJournal Article
dcterms.dateAccepted2025-02-04

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