Optimal Collocation of Three Kinds of Bragg Breakwaters for Bragg Resonant Reflection by Long Waves
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 141, Issue 3
Abstract
It is well known that, for a series of submerged artificial bars uniformly distributed in the coastal region parallel to the coastline, if the wavelength of the incident wave train is twice that of the bar distance, Bragg resonant reflection occurs. In this paper, three closed-form analytical solutions for linear long-wave reflection for bars with triangular shape, rectified cosinoidal shape, and idealized trapezoidal shape are presented. These analytical solutions show that the magnitude of the peak Bragg resonant reflection still depends on three bar parameters, which are the bar number, the dimensionless bar height, and the dimensionless bar width. Based on intensive analysis of the relations among these parameters, three sets of optimal curves to determine the optimal collocation of the three types of artificial bars are established, which may be very significant in the study of Bragg resonance and in the fundamental design of Bragg breakwaters.
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Acknowledgments
This work is supported by the Natural Science Foundation of China (51369008), Guangxi Natural Science Foundation (2011GXNSFD018006), State Key Laboratory for Coast and Coastal Engineering (LP1303), and the Innovation Project of Guangxi Graduate Education (YCSZ2013059, JGY2014052, gxun-chx2013084). All the authors would like to gratefully acknowledge some useful suggestions and help from the two anonymous referees and from the editors.
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© 2014 American Society of Civil Engineers.
History
Received: Jan 13, 2014
Accepted: Jun 19, 2014
Published online: Jul 30, 2014
Published in print: May 1, 2015
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