On Higher-Order Boussinesq-Type Wave Models
- 1 January 2016
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Waterway, Port, Coastal, and Ocean Engineering
- Vol. 142 (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.Keywords
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