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dc.contributor.authorPorter, R
dc.contributor.authorZheng, S
dc.contributor.authorLiang, H
dc.date.accessioned2022-06-04T08:43:38Z
dc.date.issued2022-02
dc.identifier.issn1364-5021
dc.identifier.issn1471-2946
dc.identifier.otherARTN 20210824
dc.identifier.urihttp://hdl.handle.net/10026.1/19275
dc.description.abstract

<jats:p> This paper describes the solution to the problem of scattering of plane incident waves on water of constant depth by a bottom mounted circular cylinder, extending partially through the depth, which has an internal structure comprised of closely spaced thin vertical barriers between which fluid is allowed to flow. The problem is solved under full depth-dependent linearized water wave theory using an effective medium equation to describe the fluid motion in cylinder and effective boundary conditions to match that flow to the fluid region outside the cylinder. The interest in this problem lies in the development of novel solution methods for fully three-dimensional water wave interaction with bathymetric plate arrays. Results computed using this theory are compared with a shallow water approximation based on the recent work of Marangos &amp; Porter (2021 Shallow water theory for structured bathymetry. <jats:italic>Proc. R. Soc. A</jats:italic> <jats:bold>477</jats:bold> , 20210421.) and with accurate computations of an exact representation of the geometry using a discrete set of plates. Other results highlight the resonant directional lensing effects of this type of cylindrical plate array device. </jats:p>

dc.format.extent20210824-
dc.format.mediumPrint-Electronic
dc.languageen
dc.language.isoeng
dc.publisherThe Royal Society
dc.subjectplate arrays
dc.subjectvertical cylinders
dc.subjectwater waves
dc.titleScattering of surface waves by a vertical truncated structured cylinder
dc.typejournal-article
dc.typeArticle
plymouth.author-urlhttps://www.ncbi.nlm.nih.gov/pubmed/35221772
plymouth.issue2258
plymouth.volume478
plymouth.publisher-urlhttp://dx.doi.org/10.1098/rspa.2021.0824
plymouth.publication-statusPublished
plymouth.journalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
dc.identifier.doi10.1098/rspa.2021.0824
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/REF 2021 Researchers by UoA
plymouth.organisational-group/Plymouth/REF 2021 Researchers by UoA/UoA12 Engineering
plymouth.organisational-group/Plymouth/Users by role
plymouth.organisational-group/Plymouth/Users by role/Academics
dc.publisher.placeEngland
dcterms.dateAccepted2022-01-31
dc.rights.embargodate2022-6-9
dc.identifier.eissn1471-2946
dc.rights.embargoperiodNot known
rioxxterms.versionofrecord10.1098/rspa.2021.0824
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2022-02
rioxxterms.typeJournal Article/Review


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