Second Order Diffraction of Water Waves by a Bottom Mounted Vertical Circular Cylinder and Some Related Numerical Problems

[+] Author and Article Information
Oguz Yilmaz

Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey 35430

J. Offshore Mech. Arct. Eng 129(1), 68-70 (Jun 05, 2006) (3 pages) doi:10.1115/1.2355519 History: Received October 07, 2005; Revised June 05, 2006

A Hankel transformation is used to obtain the second order diffraction solution of vertical cylinder of circular cross section. The improper integral over the free surface is tackled carefully. The singularity at the free surface is overcome effectively using a third order nonlinear transformation. Numerical results for free surface elevations compare well with the published data.

Copyright © 2007 by American Society of Mechanical Engineers
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