Comparative Study on Numerical Simulation of Wave-Current Nonlinear Interaction Based on Improved Mass Source Function

In coastal waters, wave propagation is often affected by rivers and tides. The wave current interaction increases the complexity of the wave propagation. In this study, we consider the Boussinesq type equation with an improved dispersion term as the governing equation and establish a numerical model...

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Main Authors: Haitao Li, Jijian Lian, Enxian Zhou, Gang Wang
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/11/2/299
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author Haitao Li
Jijian Lian
Enxian Zhou
Gang Wang
author_facet Haitao Li
Jijian Lian
Enxian Zhou
Gang Wang
author_sort Haitao Li
collection DOAJ
description In coastal waters, wave propagation is often affected by rivers and tides. The wave current interaction increases the complexity of the wave propagation. In this study, we consider the Boussinesq type equation with an improved dispersion term as the governing equation and establish a numerical model of wave propagation in the coexistence of wave current environment. Firstly, we use the MIKE 21 BW model to simulate the propagation of dual-frequency waves. The Navier–Stokes equation wave model is used to verify the results and the Fourier transform is used to analyze and discuss the dual-frequency waves. Our findings show that the numerical model established by the Boussinesq equation can better describe the nonlinear interaction between waves more accurately at a much higher computational efficiency compared with the Navier–Stokes equation wave model. In addition, we set the constant current source point in the wave numerical model and conduct the numerical simulation of waves in the current environment, by improving the mass source wave generation method. The numerical simulation of wave-current interactions between uniform and variable water depths is performed, thus demonstrating its capability to describe accurately the influence of water flow on wave propagation.
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spelling doaj.art-ad67d56448ad4c549c084b4aea87c27b2023-11-16T21:27:15ZengMDPI AGJournal of Marine Science and Engineering2077-13122023-02-0111229910.3390/jmse11020299Comparative Study on Numerical Simulation of Wave-Current Nonlinear Interaction Based on Improved Mass Source FunctionHaitao Li0Jijian Lian1Enxian Zhou2Gang Wang3School of Civil Engineering, Tianjin University, Tianjin 300350, ChinaSchool of Civil Engineering, Tianjin University, Tianjin 300350, ChinaShanghai Zhenhua Heavy Industries Co., Ltd., Shanghai 200125, ChinaCollege of Science and Technology, Hebei Agricultural University, Huanghua 061100, ChinaIn coastal waters, wave propagation is often affected by rivers and tides. The wave current interaction increases the complexity of the wave propagation. In this study, we consider the Boussinesq type equation with an improved dispersion term as the governing equation and establish a numerical model of wave propagation in the coexistence of wave current environment. Firstly, we use the MIKE 21 BW model to simulate the propagation of dual-frequency waves. The Navier–Stokes equation wave model is used to verify the results and the Fourier transform is used to analyze and discuss the dual-frequency waves. Our findings show that the numerical model established by the Boussinesq equation can better describe the nonlinear interaction between waves more accurately at a much higher computational efficiency compared with the Navier–Stokes equation wave model. In addition, we set the constant current source point in the wave numerical model and conduct the numerical simulation of waves in the current environment, by improving the mass source wave generation method. The numerical simulation of wave-current interactions between uniform and variable water depths is performed, thus demonstrating its capability to describe accurately the influence of water flow on wave propagation.https://www.mdpi.com/2077-1312/11/2/299dual-frequency wavemass sourceMIKE 21 BWtwo-dimensional numerical flumewave-generating
spellingShingle Haitao Li
Jijian Lian
Enxian Zhou
Gang Wang
Comparative Study on Numerical Simulation of Wave-Current Nonlinear Interaction Based on Improved Mass Source Function
Journal of Marine Science and Engineering
dual-frequency wave
mass source
MIKE 21 BW
two-dimensional numerical flume
wave-generating
title Comparative Study on Numerical Simulation of Wave-Current Nonlinear Interaction Based on Improved Mass Source Function
title_full Comparative Study on Numerical Simulation of Wave-Current Nonlinear Interaction Based on Improved Mass Source Function
title_fullStr Comparative Study on Numerical Simulation of Wave-Current Nonlinear Interaction Based on Improved Mass Source Function
title_full_unstemmed Comparative Study on Numerical Simulation of Wave-Current Nonlinear Interaction Based on Improved Mass Source Function
title_short Comparative Study on Numerical Simulation of Wave-Current Nonlinear Interaction Based on Improved Mass Source Function
title_sort comparative study on numerical simulation of wave current nonlinear interaction based on improved mass source function
topic dual-frequency wave
mass source
MIKE 21 BW
two-dimensional numerical flume
wave-generating
url https://www.mdpi.com/2077-1312/11/2/299
work_keys_str_mv AT haitaoli comparativestudyonnumericalsimulationofwavecurrentnonlinearinteractionbasedonimprovedmasssourcefunction
AT jijianlian comparativestudyonnumericalsimulationofwavecurrentnonlinearinteractionbasedonimprovedmasssourcefunction
AT enxianzhou comparativestudyonnumericalsimulationofwavecurrentnonlinearinteractionbasedonimprovedmasssourcefunction
AT gangwang comparativestudyonnumericalsimulationofwavecurrentnonlinearinteractionbasedonimprovedmasssourcefunction