Diffraction problem of a floating breakwater with an array of small ports

Diffraction problem of a floating breakwater with an array of small ports In this article, we have studied the linear water wave scattering by an infinitely extended fixed floating cylinder of rectangular cross section which is placed in front of a periodic array of identical fixed small bodies. The velocity potentials that appear in the boundary value problem are expressed in the explicit form in terms of infinite Fourier double series using the method of separation of variables. By matching the velocity and pressure at the interfaces and using the orthogonality property of eigenfunctions, a system of algebraic equations of unknowns are obtained. These are solved numerically to determine the velocity potential completely. The existence of resonance modes in the open water region is demonstrated by analyzing coefficients which appear in the velocity potential and the resonance surface modes are plotted for different physical parameters. This study can be used in the design of multiple offshore structures. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Marine Science and Technology Springer Journals

Diffraction problem of a floating breakwater with an array of small ports

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Publisher
Springer Japan
Copyright
Copyright © 2016 by JASNAOE
Subject
Engineering; Automotive Engineering; Engineering Fluid Dynamics; Engineering Design; Offshore Engineering; Mechanical Engineering
ISSN
0948-4280
eISSN
1437-8213
D.O.I.
10.1007/s00773-016-0424-8
Publisher site
See Article on Publisher Site

Abstract

In this article, we have studied the linear water wave scattering by an infinitely extended fixed floating cylinder of rectangular cross section which is placed in front of a periodic array of identical fixed small bodies. The velocity potentials that appear in the boundary value problem are expressed in the explicit form in terms of infinite Fourier double series using the method of separation of variables. By matching the velocity and pressure at the interfaces and using the orthogonality property of eigenfunctions, a system of algebraic equations of unknowns are obtained. These are solved numerically to determine the velocity potential completely. The existence of resonance modes in the open water region is demonstrated by analyzing coefficients which appear in the velocity potential and the resonance surface modes are plotted for different physical parameters. This study can be used in the design of multiple offshore structures.

Journal

Journal of Marine Science and TechnologySpringer Journals

Published: Dec 10, 2016

References

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