Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6490
Title: Linear wave interaction with a vertical cylinder of arbitrary cross section: An asymptotic approach
Authors: Dişibüyük, Nazile Buğurcan
Korobkin, A. A.
Yılmaz, Oğuz
Keywords: Asymptotic analysis
Linear water waves
Noncircular vertical cylinder
Wave loads
Issue Date: Sep-2017
Publisher: American Society of Civil Engineers (ASCE)
Source: Dişibüyük, 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.1943-5460.0000407
Abstract: An 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.
URI: http://doi.org/10.1061/(ASCE)WW.1943-5460.0000407
http://hdl.handle.net/11147/6490
ISSN: 0733-950X
19435460
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
6490.pdfMakale1.88 MBAdobe PDFThumbnail
View/Open
Show full item record



CORE Recommender

SCOPUSTM   
Citations

13
checked on Mar 1, 2024

WEB OF SCIENCETM
Citations

12
checked on Feb 26, 2024

Page view(s)

3,184
checked on Feb 26, 2024

Download(s)

214
checked on Feb 26, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.