Numerical study of edge waves using extended Boussinesq equations

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 bet...

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Main Authors: Gang Wang, Zhong-bin Sun, Jun-liang Gao, Xiao-zhou Ma
Format: Article
Language:English
Published: Elsevier 2017-10-01
Series:Water Science and Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1674237017301011
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author Gang Wang
Zhong-bin Sun
Jun-liang Gao
Xiao-zhou Ma
author_facet Gang Wang
Zhong-bin Sun
Jun-liang Gao
Xiao-zhou Ma
author_sort Gang Wang
collection DOAJ
description 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.
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spelling doaj.art-60ec5f600a5c4097be763608fb0a09ec2022-12-21T18:43:17ZengElsevierWater Science and Engineering1674-23702017-10-0110429530210.1016/j.wse.2017.12.002Numerical study of edge waves using extended Boussinesq equationsGang Wang0Zhong-bin Sun1Jun-liang Gao2Xiao-zhou Ma3Jiangsu Key Laboratory of Coast Ocean Resources Development and Environment Security (Hohai University), Nanjing 210098, ChinaNanjing Hydraulic Research Institute, Nanjing 210029, ChinaJiangsu Key Laboratory of Coast Ocean Resources Development and Environment Security (Hohai University), Nanjing 210098, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, ChinaAn 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.http://www.sciencedirect.com/science/article/pii/S1674237017301011Edge wavesBoussinesq equationsInternal wave-generation methodNonlinear wave interaction
spellingShingle Gang Wang
Zhong-bin Sun
Jun-liang Gao
Xiao-zhou Ma
Numerical study of edge waves using extended Boussinesq equations
Water Science and Engineering
Edge waves
Boussinesq equations
Internal wave-generation method
Nonlinear wave interaction
title Numerical study of edge waves using extended Boussinesq equations
title_full Numerical study of edge waves using extended Boussinesq equations
title_fullStr Numerical study of edge waves using extended Boussinesq equations
title_full_unstemmed Numerical study of edge waves using extended Boussinesq equations
title_short Numerical study of edge waves using extended Boussinesq equations
title_sort numerical study of edge waves using extended boussinesq equations
topic Edge waves
Boussinesq equations
Internal wave-generation method
Nonlinear wave interaction
url http://www.sciencedirect.com/science/article/pii/S1674237017301011
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