Water Science and Engineering 2017, 10(4) 295-302 DOI:   https://doi.org/10.1016/j.wse.2017.12.002  ISSN: 1674-2370 CN: 32-1785/TV

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Keywords
Edge waves
Boussinesq equations
Internal wave-generation method
Nonlinear wave interaction
Authors
PubMed

Numerical study of edge waves using extended Boussinesq equations

Gang Wang a,*, Zhong-bin Sun b, Jun-liang Gao a,c, Xiao-zhou Ma d

a Jiangsu Key Laboratory of Coast Ocean Resources Development and Environment Security (Hohai University), Nanjing 210098, China
b Nanjing Hydraulic Research Institute, Nanjing 210029, China
c School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China
d State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China

Abstract

An edge wave numerical model was developed based on extended Boussinesq equations with the internal wave-generation method. The form of edge waves near a seawall was chosen as the input signal in order to avoid treatment of the moving shoreline on a sloping beach. As there was an energy transfer between different edge wave modes, not only the target mode but also other modes appeared in the simulations. Due to the nonlinear effect, the simulation results for mode-0 edge waves were slightly modulated by mode-1 and mode-2 waves. As the magnitudes of these higher-mode waves are not significantly related to those of the target mode, the internal wave-generation method in Boussinesq equations can produce high-quality edge waves. The numerical model was used to investigate the nonlinear properties of standing edge waves, and the numerical results were in strong agreement with theory.

Keywords Edge waves   Boussinesq equations   Internal wave-generation method   Nonlinear wave interaction  
Received 2017-04-23 Revised 2017-08-03 Online: 2017-10-30 
DOI: https://doi.org/10.1016/j.wse.2017.12.002
Fund:

This work was supported by the National Natural Science Foundation of China (Grants No. 51409168 and 51579090), the Fundamental Research Funds for the Central Universities (Grant No. 2015B15714), and the Jiangsu Key Laboratory of Coast Ocean Resources Development and Environment Security (Grant No. JSCE201508).

Corresponding Authors: gangwang@hhu.edu.cn (Gang Wang)
Email: gangwang@hhu.edu.cn
About author:

References:

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