Simulating the evolution of a focused wave group by a Boussinesq-type model

Liu Bijin; Zhang Zhenwei; Liu Zhongbo; Fu Danjuan; Chen Xiaoyun

doi:10.12284/hyxb2021047

Volume 43 Issue 3

Apr. 2021

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Liu Bijin，Zhang Zhenwei，Liu Zhongbo, et al. Simulating the evolution of a focused wave group by a Boussinesq-type model[J]. Haiyang Xuebao，2021, 43(3)：31–39 doi: 10.12284/hyxb2021047

Citation:

Liu Bijin，Zhang Zhenwei，Liu Zhongbo, et al. Simulating the evolution of a focused wave group by a Boussinesq-type model[J]. Haiyang Xuebao，2021, 43(3)：31–39 doi: 10.12284/hyxb2021047

Citation:

Liu Bijin，Zhang Zhenwei，Liu Zhongbo, et al. Simulating the evolution of a focused wave group by a Boussinesq-type model[J]. Haiyang Xuebao，2021, 43(3)：31–39 doi: 10.12284/hyxb2021047

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Simulating the evolution of a focused wave group by a Boussinesq-type model

doi: 10.12284/hyxb2021047

1.
School of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen 361024, China
2.
Transportation Engineering College, Dalian Maritime University, Dalian 116026, China

Received Date: 2020-01-17
Rev Recd Date: 2020-04-24

Available Online: 2021-03-24

Publish Date: 2021-04-23

Abstract

Abstract

Based on the one-layer Boussinesq model with highest spatial derivative being 3, a numerical model is established for focused wave group. The numerical model is solved with predictor-corrector scheme in finite differential method. For time integration, a third-order Adams-Bashforth scheme and a fourth-order Adams-Moulton scheme are separately used in predicting stage and correcting stage. Firstly, the numerical simulations are carried out upon nonlinear regular wave evolution over a constant water-depth in a flume, and the computed results are compared with the semi-analytical solutions. The results demonstrate that the simulated surface elevations, the horizontal velocity and vertical velocity on the free surface can well match the related analytical solutions, while the agreement of the horizontal velocity profile under the crest becomes worse with the increase of water-depth, and the range of the model with respect to nonlinear horizontal velocity profile is for kh<3.5, which is similar to the range of the related linear model with respect to horizontal velocity profile. Secondly, the numerical simulations are conducted upon the nonlinear focused wave group evolution in deep-water. The linear wave groups are used as incident wave conditions. The laboratory experiments conducted by Baldock and Swan (1996) are used to examine the present model. Both the computed surface elevations and the horizontal velocity profile at the focused position are compared with the related experimental data. The results show that the agreement of the surface elevations is pretty good, while the agreement of the horizontal velocity profile is moderate. Finally, with the middle frequency being kept unchanged, the numerical simulations upon the maximum surface elevation and horizontal velocity under the crest are conducted with the variation of the range of focused wave period, the results show that both the crest and the horizontal velocity increase with the increase of the range of the wave periods.
- Boussinesq model,
- focused wave,
- surface elevations,
- velocity profile

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References(16)

References

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