Effects of Triad Interactions on Wave Attenuation by Vegetation
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Engineering Mechanics
Volume 143, Issue 9
Abstract
Wave attenuation in vegetated shallow water is mainly attributed to actual drag-induced dissipation and near-resonant triad interactions. The latter is neglected in existing theoretical models for vegetation-induced dissipation. In this study, a set of evolution equations describing the spatial evolution of three near-resonant wave components was extended to include vegetation effects. The contributions of triad interactions to the attenuation of individual harmonics were investigated. The authors found that neglecting the energy cycling caused by triad interactions gives an underestimation of damping rates. The triad interactions have greater effects on the attenuation of higher harmonics. A fully nonlinear, fully dispersive wave model was used to explore the effects of triad interactions on spectral dissipation of random waves. After isolating the energy transfers caused by triad interactions and the actual drag-induced dissipation, the authors found that triad interactions transfer energy to higher harmonics, which experience greater damping. Due to the energy transfers from spectral peak () to high frequencies (), the energy losses in and are overestimated and underestimated, respectively, by existing models based on linear wave theory.
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Acknowledgments
Funding for the study has been provided in part by the National Science Foundation (NSF Grant Nos. SEES-1427389 and CCF-1539567). Drs. Ke Liu and Arash Karimpour assisted solving the evolution equations and spectral analyses. Cody Johnson helped proofread the manuscript. Professor Gangfeng Ma provided useful advice on the NHWAVE code.
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Published In
Journal of Engineering Mechanics
Volume 143 • Issue 9 • September 2017
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©2017 American Society of Civil Engineers.
History
Received: Nov 22, 2016
Accepted: Mar 29, 2017
Published online: Jun 30, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 30, 2017
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