Hydroelastic interaction between water waves and an array of circular floating porous elastic plates

dc.check.date2021-02-06
dc.check.infoAccess to this article is restricted until 6 months after publication by request of the publisher.en
dc.contributor.authorZheng, Siming
dc.contributor.authorMeylan, Michael H.
dc.contributor.authorZhu, Guixun
dc.contributor.authorGreaves, Deborah
dc.contributor.authorIglesias, Gregorio
dc.date.accessioned2020-08-07T15:05:46Z
dc.date.available2020-08-07T15:05:46Z
dc.date.issued2020-08-06
dc.date.updated2020-07-30T14:37:32Z
dc.description.abstractA theoretical model based on linear potential flow theory and an eigenfunction matching method is developed to analyse the hydroelastic interaction between water waves and multiple circular floating porous elastic plates. The water domain is divided into the interior and exterior regions, representing the domain beneath each plate and the rest, which extends towards infinity horizontally, respectively. Spatial potentials in these two regions can be expressed as a series expansion of eigenfunctions. Three different types of edge conditions are considered. The unknown coefficients in the potential expressions can be determined by satisfying the continuity conditions for pressure and velocity at the interface of the two regions, together with the requirements for the motion/force at the edge of the plates. Apart from the straightforward method to evaluate the exact power dissipated by the array of porous elastic plates, an indirect method based on Green's theorem is determined. The indirect method expresses the wave-power dissipation in terms of Kochin functions. It is found that wave-power dissipation of an array of circular porous elastic plates can be enhanced by the constructive hydrodynamic interaction between the plates, and there is a profound potential of porous elastic plates for wave-power extraction. The results can be applied to a range of floating structures but have special application in modelling energy loss in flexible ice floes and wave-power extraction by flexible plate wave-energy converters.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationZheng, S., Meylan, M. H., Zhu, G., Greaves, D. and Iglesias, G. (2020) 'Hydroelastic interaction between water waves and an array of circular floating porous elastic plates', Journal of Fluid Mechanics, doi: 10.1017/jfm.2020.508en
dc.identifier.doi10.1017/jfm.2020.508en
dc.identifier.endpage26en
dc.identifier.issn0022-112
dc.identifier.journaltitleJournal of Fluid Mechanicsen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/10370
dc.language.isoenen
dc.publisherCambridge University Pressen
dc.rights© The Authors, 2020. Published by Cambridge University Press. This article has been published in a revised form in Journal of Fluid Mechanics, http://dx.doi.org/10.1017/jfm.2020.508 This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works.en
dc.subjectWave-structure interactionsen
dc.subjectSurface gravity wavesen
dc.subjectWave scatteringen
dc.titleHydroelastic interaction between water waves and an array of circular floating porous elastic platesen
dc.typeArticle (peer-reviewed)en
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