Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6490
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dc.contributor.authorDişibüyük, Nazile Buğurcan-
dc.contributor.authorKorobkin, A. A.-
dc.contributor.authorYılmaz, Oğuz-
dc.date.accessioned2017-11-21T07:33:28Z-
dc.date.available2017-11-21T07:33:28Z-
dc.date.issued2017-09-
dc.identifier.citationDişibüyük, N. B., Korobkin, A. A., and Yılmaz, O. (2017). Linear wave interaction with a vertical cylinder of arbitrary cross section: An asymptotic approach. Journal of Waterway, Port, Coastal and Ocean Engineering, 143(5). doi:10.1061/(ASCE)WW.1943-5460.0000407en_US
dc.identifier.issn0733-950X-
dc.identifier.issn19435460-
dc.identifier.urihttp://doi.org/10.1061/(ASCE)WW.1943-5460.0000407-
dc.identifier.urihttp://hdl.handle.net/11147/6490-
dc.description.abstractAn asymptotic approach to the linear problem of regular water waves interacting with a vertical cylinder of an arbitrary cross section is presented. The incident regular wave was one-dimensional, water was of finite depth, and the rigid cylinder extended from the bottom to the water surface. The nondimensional maximum deviation of the cylinder cross section from a circular one plays the role of a small parameter of the problem. A fifth-order asymptotic solution of the problem was obtained. The problems at each order were solved by the Fourier method. It is shown that the first-order velocity potential is a linear function of the Fourier coefficients of the shape function of the cylinder, the second-order velocity potential is a quadratic function of these coefficients, and so on. The hydrodynamic forces acting on the cylinder and the water surface elevations on the cylinder are presented. The present asymptotic results show good agreement with numerical and experimental results of previous investigations. Long-wave approximation of the hydrodynamic forces was derived and used for validation of the asymptotic solutions. The obtained values of the forces are exact in the limit of zero wave numbers within the linear wave theory. An advantage of the present approach compared with the numerical solution of the problem by an integral equation method is that it provides the forces and the diffracted wave field in terms of the coefficients of the Fourier series of the deviation of the cylinder shape from the circular one. The resulting asymptotic formula can be used for optimization of the cylinder shape in terms of the wave loads and diffracted wave fields.en_US
dc.description.sponsorshipTUBITAK (Scientific and Technological Research Council of Turkey) BIDEB-2211en_US
dc.language.isoenen_US
dc.publisherAmerican Society of Civil Engineers (ASCE)en_US
dc.relation.ispartofJournal of Waterway, Port, Coastal and Ocean Engineeringen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAsymptotic analysisen_US
dc.subjectLinear water wavesen_US
dc.subjectNoncircular vertical cylinderen_US
dc.subjectWave loadsen_US
dc.titleLinear wave interaction with a vertical cylinder of arbitrary cross section: An asymptotic approachen_US
dc.typeArticleen_US
dc.authoridTR1568en_US
dc.institutionauthorYılmaz, Oğuz-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume143en_US
dc.identifier.issue5en_US
dc.identifier.wosWOS:000407089100020en_US
dc.identifier.scopus2-s2.0-85020907608en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1061/(ASCE)WW.1943-5460.0000407-
dc.relation.doi10.1061/(ASCE)WW.1943-5460.0000407en_US
dc.coverage.doi10.1061/(ASCE)WW.1943-5460.0000407en_US
dc.identifier.wosqualityQ2-
dc.identifier.scopusqualityQ1-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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