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论文类型：期刊论文

发表时间：2019-01-01

发表刊物：WAVE MOTION

收录刊物：SCIE、Scopus

卷号：85

页面范围：98-113

ISSN号：0165-2125

关键字：Boussinesq model; Shoaling gradient; Nonlinearity; Wave group; Velocity profile

摘要：A vertical two-dimensional numerical model is developed to demonstrate the application potential of the recently proposed two-layer Boussinesq-type equations, which have been theoretically shown to exhibit high accuracy in both linear and nonlinear properties, by the authors (Liu and Fang, 2016). Numerical implementation is established on a regular uniform grid, combined with finite differencing of the spatial derivatives and a composite fourth-order Adams-Bashforth-Moulton time integration. Initially, some idealized numerical experiments are designed to examine the fundamental aspects of the model, including the linear dispersion, linear shoaling gradient and highly nonlinear velocity profile. Next, challenging numerical experiments for the regular wave evolution over a submerged breakwater, bichromatic wave evolution in a long flume and focused wave group evolution in a short flume are carried out. The computed results are consistent with the experimental data. By simulating moderately and highly nonlinear wave propagation in deep water, we further investigate the effect of nonlinear terms in the governing equations on the numerical performance. The numerical test of the evolution process of highly nonlinear regular water waves shows that retaining third-order nonlinear terms in the governing equations can provide more accurate computational results. (C) 2018 Elsevier B.V. All rights reserved.