Second-order diffraction by a bottom-seated compound cylinder

Mavrakos, SA; Chatjigeorgiou, IK

dc.contributor.author	Mavrakos, SA	en
dc.contributor.author	Chatjigeorgiou, IK	en
dc.date.accessioned	2014-03-01T01:25:08Z
dc.date.available	2014-03-01T01:25:08Z
dc.date.issued	2006	en
dc.identifier.issn	0889-9746	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17551
dc.subject	Boundary Condition	en
dc.subject	Free Surface	en
dc.subject	Nonlinear Waves	en
dc.subject	Numerical Technique	en
dc.subject	Pressure Distribution	en
dc.subject	Rational Number	en
dc.subject	Satisfiability	en
dc.subject	sturm-liouville problem	en
dc.subject	Potential Difference	en
dc.subject	Second Order	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Computational geometry	en
dc.subject.other	Green's function	en
dc.subject.other	Integral equations	en
dc.subject.other	Pressure distribution	en
dc.subject.other	Bottom-seated compound cylinder	en
dc.subject.other	Gauss-Legendre numerical technique	en
dc.subject.other	Second-order diffraction	en
dc.subject.other	Sturm-Liouville problems	en
dc.subject.other	Fluid structure interaction	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Computational geometry	en
dc.subject.other	Fluid structure interaction	en
dc.subject.other	Green's function	en
dc.subject.other	Integral equations	en
dc.subject.other	Pressure distribution	en
dc.title	Second-order diffraction by a bottom-seated compound cylinder	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jfluidstructs.2005.12.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jfluidstructs.2005.12.001	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	The second-order diffraction potential around a bottom-seated compound cylinder is considered. The solution method is based on a semi-analytical formulation for the double-frequency diffraction potentials, which are properly decomposed into a rational number of components in order to satisfy all boundary conditions involved in the problem. The solution process results in two different Sturm-Liouville problems which are treated separately in the ring-shaped fluid regions defined by the geometry of the structure. The matching of the potentials on the boundaries of adjacent fluid regions is established using the 'free' wave components of the potentials. Different Green's functions are constructed for each of the fluid regions surrounding the body. The calculation of integrals of the pressure distribution on the free surface is carried out using an appropriate Gauss-Legendre numerical technique. The efficiency of the method described in the present work is validated through comparative calculations. Finally, extensive numerical predictions are presented concerning the complete second-order excitation and the nonlinear wave elevation for various configurations of vertical axisymmetric bodies. (c) 2006 Elsevier Ltd. All rights reserved.	en
heal.publisher	ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD	en
heal.journalName	Journal of Fluids and Structures	en
dc.identifier.doi	10.1016/j.jfluidstructs.2005.12.001	en
dc.identifier.isi	ISI:000237788000002	en
dc.identifier.volume	22	en
dc.identifier.issue	4	en
dc.identifier.spage	463	en
dc.identifier.epage	492	en