Wave diffraction from multiple truncated cylinders of arbitrary cross sections

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dc.contributor.authorZheng, Siming
dc.contributor.authorZhang, Yongliang
dc.contributor.authorLiu, Jiabin
dc.contributor.authorIglesias, Gregorio
dc.contributor.funderChina Postdoctoral Science Foundationen
dc.contributor.funderNational Natural Science Foundation of Chinaen
dc.contributor.funderEuropean Commissionen
dc.date.accessioned2019-11-15T16:20:19Z
dc.date.available2019-11-15T16:20:19Z
dc.date.issued2019-08-19
dc.date.updated2019-11-15T16:05:37Z
dc.description.abstractMany marine structures are supported by piles or caissons which, from a mathematical point of view, can be assimilated to an array of truncated cylinders of arbitrary cross sections. The focus of this paper is such an array subjected to harmonic waves of small steepness. We develop an analytic method based on linear potential flow theory to solve the diffraction problem and evaluate the excitation forces and moments acting on each cylinder. The water domain is divided into the interior regions below each cylinder and an exterior region extending to infinity in the horizontal plane. A series of eigen-functions are applied to express the velocity potential in each region. The Fourier series method combined with the eigen-function expansion matching method is used to satisfy the wetted surface body conditions and continuity conditions between adjacent regions. The analytic model is validated by comparing its results with numerical modelling results and published data. It is then applied to two truncated cylinders with caisson cross sections, and results are given for the excitation forces and moments on each cylinder for different values of incident wave direction and spacing between the cylinders, and for different configurations.en
dc.description.sponsorshipChina Postdoctoral Science Foundation (Grant no. 2016M601041, 2017T100085); National Natural Science Foundation of China (51679124, 51879144); European Commission (Intelligent Community Energy (ICE), INTERREG V FCE, European Commission (Contract no. 5025))en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationZheng, S., Zhang, Y., Liu, J. and Iglesias, G. (2020) 'Wave diffraction from multiple truncated cylinders of arbitrary cross sections', Applied Mathematical Modelling, 77, pp. 1425-1445. doi: 10.1016/j.apm.2019.08.006en
dc.identifier.doi10.1016/j.apm.2019.08.006en
dc.identifier.endpage1445en
dc.identifier.issn0307-904X
dc.identifier.journaltitleApplied Mathematical Modellingen
dc.identifier.startpage1425en
dc.identifier.urihttps://hdl.handle.net/10468/9018
dc.identifier.volume77en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urihttp://www.sciencedirect.com/science/article/pii/S0307904X19304949
dc.rights© 2019 Published by Elsevier Inc. This manuscript version is made available under the CC BY-NC-ND 4.0 licence.en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectWave diffractionen
dc.subjectWave excitation forceen
dc.subjectTruncated cylindersen
dc.subjectPotential flowen
dc.subjectAnalytical modelen
dc.subjectWave–structure interactionsen
dc.titleWave diffraction from multiple truncated cylinders of arbitrary cross sectionsen
dc.typeArticle (peer-reviewed)en
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