On Higher-Order Boussinesq-Type Wave Models
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 142, Issue 1
Abstract
Three enhanced versions of two existing nonlinear Boussinesq-type models are herein derived. These models, along with two other similar solvers, were investigated with respect to their nonlinear and dispersive characteristics. In particular, this study comprises Fourier analysis at first-order, second-order, and third-order harmonics; an investigation of linear and nonlinear dispersion; linear shoaling analysis; and an estimation of transfer functions for subharmonics and superharmonics. The models are also validated against demanding experimental tests of wave propagation over a submerged bar. Conclusions of both a special and a general nature are drawn and discussed concerning the scope of nonlinear upgrade of Boussinesq-type equations, their numerical implementation, and the limitations of such models.
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Acknowledgments
The authors acknowledge the support provided by the director and staff of the laboratory of Harbour Works, National Technical University of Athens. The second author (G.K.) gratefully acknowledges the scholarship provided by the Onassis Foundation. He also acknowledges the support by the Danish Council for Strategic Research under the project Danish Coasts and Climate Adaptation—Flooding Risk and Coastal Protection, project No. 09-066869. The third author (M.Ch.) gratefully acknowledges the support provided by the State Scholarships Foundation of Greece. The authors also thank S. Beji and M. Gobbi for kindly providing the Delft University’s relevant full set of experimental data and the model’s results, respectively. Also, many thanks to Th. Karambas for fruitful discussions at an earlier stage of this study.
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© 2015 American Society of Civil Engineers.
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Received: Dec 30, 2014
Accepted: Apr 28, 2015
Published online: Jun 30, 2015
Discussion open until: Nov 30, 2015
Published in print: Jan 1, 2016
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