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Three-dimensional scattering of solitary waves by vertical cylinder

Wang, Keh-Han and Wu, Theodore Y. and Yates, George T. (1992) Three-dimensional scattering of solitary waves by vertical cylinder. Journal of Waterway, Ports, Coastal, and Ocean Engineering, 118 (5). pp. 551-566. ISSN 0733-950X. http://resolver.caltech.edu/CaltechAUTHORS:WANjwpcoe92

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Abstract

This is a study of the scattering and diffraction of a solitary wave by a surface-piercing vertical cylinder held fixed in shallow water. Particular interest is focused on the roles played by the nonlinear effects and the dispersive effects in this fully three-dimensional problem of strong interaction between a solitary wave and a solid structure. The theoretical model adopted here for predicting the scattering and propagation of three-dimensional long waves in shallow water is the generalized Boussinesq (gB) two-equation model, developed by Wu. Using this model, the predicted flow field, the free-surface elevations, the wave-induced forces acting on the cyiindcr during the wave impact, and the subsequent evolution of the scattered wave field are numerically evaluated. The numerical results show that the front of the scattered wave field propagates very nearly in a circular belt, which is concentric to the cylinder as an overall topographical structure. This remarkable asymptotic geometrical feature of the resulting scattered wave cannot be obtained without the basic equations being able to correctly model the three-dimensional effects, and without bias toward the direction of wave propagation. The role of the nonlinear, dispersive, and linear wave effects during the wave-structure interaction are discussed in detail.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1061/(ASCE)0733-950X(1992)118:5(551)DOIArticle
http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-950X%281992%29118%3A5%28551%29PublisherArticle
Additional Information:The manuscript fur this paper was submitted for review and possible publication on November 7, 1981. This paper is part of the Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 118, No. 5, September-October, 1992. ©ASCE. Published: 01 September 1992. This work was sponsored by the Office of Naval Research, contract N00014-82-K0443 NR 062-737, and by the National Science Foundation, grant MSM-8706045. The support of NSF is also acknowledged for providing access to its Cray X-MP/48 at the National Center for Supercomputing Applications, University of Illinois at Urbana, and at the San Diego Supercomputer Center.
Funders:
Funding AgencyGrant Number
U.S. Office of Naval Research N00014-82-K0443 NR 062-737
NSFMSM-8706045
Subject Keywords:Offshore structures, Solitary waves, Scattering, Cylinders, Diffraction, Shallow water
Record Number:CaltechAUTHORS:WANjwpcoe92
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:WANjwpcoe92
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:360
Collection:CaltechAUTHORS
Deposited By: Theodore Yao-tsu Wu
Deposited On:06 Jun 2005
Last Modified:28 Feb 2014 18:05

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