Wave Diffraction by Array of Thin‐Screen Breakwaters
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 119, Issue 6
Abstract
The diffraction of water waves by an offshore breakwater consisting of an infinite row of equally spaced vertical screens is investigated theoretically. A Green's function approach is utilized and the use of geometric periodicity reduces the problem to that of a singular integral equation for the potential difference across a single screen element. The integral equation is then solved numerically by expressing this potential difference as a series of Chebyshev polynomials with unknown coefficients. The reflected and transmitted wave systems each consist of a finite number of propagating wave components. The accuracy of the numerical scheme is verified based on energy considerations. A reflection coefficient is defined in terms of the amplitude of the asymptotic wave traveling in a direction opposite to that of the incident wave system. Reflection coefficients are presented for a variety of angles of wave incidence and screen width‐to‐spacing ratios. These results indicate that for certain parameter combinations significant wave reflection can be obtained utilizing this type of breakwater configuration.
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Copyright © 1993 American Society of Civil Engineers.
History
Received: Mar 12, 1992
Published online: Nov 1, 1993
Published in print: Nov 1993
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