Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography

In this study, the propagation and evolution characteristics of internal solitary waves on slope topography in stratified fluids were investigated. A numerical model of internal solitary wave propagation based on the nonlinear potential flow theory using the multi-domain boundary element method was...

Full description

Bibliographic Details
Main Authors: Yingjie Hu, Li Zou, Xinyu Ma, Zhe Sun, Aimin Wang, Tiezhi Sun
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/9/11/1224
_version_ 1827676379795161088
author Yingjie Hu
Li Zou
Xinyu Ma
Zhe Sun
Aimin Wang
Tiezhi Sun
author_facet Yingjie Hu
Li Zou
Xinyu Ma
Zhe Sun
Aimin Wang
Tiezhi Sun
author_sort Yingjie Hu
collection DOAJ
description In this study, the propagation and evolution characteristics of internal solitary waves on slope topography in stratified fluids were investigated. A numerical model of internal solitary wave propagation based on the nonlinear potential flow theory using the multi-domain boundary element method was developed and validated. The numerical model was used to calculate the propagation process of internal solitary waves on the topography with different slope parameters, including height and angle, and the influence of slope parameters, initial amplitude, and densities jump of two-layer fluid on the evolution of internal solitary waves is discussed. It was found that the wave amplitude first increased while climbing the slope and then decreased after passing over the slope shoulder based on the calculation results, and the wave amplitude reached a maximum at the shoulder of the slope. A larger height and angle of the slope can induce larger maximum wave amplitude and more obvious tail wave characteristics. The wave amplitude gradually decreased, and a periodic tail wave was generated when propagating on the plateau after passing the slope. Both frequency and height of the tail wave were affected by the geometric parameters of the slope bottom; however, the initial amplitude of the internal solitary wave only affects the tail wave height, but not the frequency of the tail wave.
first_indexed 2024-03-10T05:22:47Z
format Article
id doaj.art-94042eadca7e49d98d88570d443dd7df
institution Directory Open Access Journal
issn 2077-1312
language English
last_indexed 2024-03-10T05:22:47Z
publishDate 2021-11-01
publisher MDPI AG
record_format Article
series Journal of Marine Science and Engineering
spelling doaj.art-94042eadca7e49d98d88570d443dd7df2023-11-22T23:53:37ZengMDPI AGJournal of Marine Science and Engineering2077-13122021-11-01911122410.3390/jmse9111224Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope TopographyYingjie Hu0Li Zou1Xinyu Ma2Zhe Sun3Aimin Wang4Tiezhi Sun5School of Naval Architecture, Dalian University of Technology, Dalian 116024, ChinaSchool of Naval Architecture, Dalian University of Technology, Dalian 116024, ChinaSchool of Naval Architecture, Dalian University of Technology, Dalian 116024, ChinaSchool of Naval Architecture, Dalian University of Technology, Dalian 116024, ChinaSchool of Naval Architecture, Dalian University of Technology, Dalian 116024, ChinaSchool of Naval Architecture, Dalian University of Technology, Dalian 116024, ChinaIn this study, the propagation and evolution characteristics of internal solitary waves on slope topography in stratified fluids were investigated. A numerical model of internal solitary wave propagation based on the nonlinear potential flow theory using the multi-domain boundary element method was developed and validated. The numerical model was used to calculate the propagation process of internal solitary waves on the topography with different slope parameters, including height and angle, and the influence of slope parameters, initial amplitude, and densities jump of two-layer fluid on the evolution of internal solitary waves is discussed. It was found that the wave amplitude first increased while climbing the slope and then decreased after passing over the slope shoulder based on the calculation results, and the wave amplitude reached a maximum at the shoulder of the slope. A larger height and angle of the slope can induce larger maximum wave amplitude and more obvious tail wave characteristics. The wave amplitude gradually decreased, and a periodic tail wave was generated when propagating on the plateau after passing the slope. Both frequency and height of the tail wave were affected by the geometric parameters of the slope bottom; however, the initial amplitude of the internal solitary wave only affects the tail wave height, but not the frequency of the tail wave.https://www.mdpi.com/2077-1312/9/11/1224internal solitary wavesboundary element methodnumerical simulationpotential flow
spellingShingle Yingjie Hu
Li Zou
Xinyu Ma
Zhe Sun
Aimin Wang
Tiezhi Sun
Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography
Journal of Marine Science and Engineering
internal solitary waves
boundary element method
numerical simulation
potential flow
title Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography
title_full Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography
title_fullStr Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography
title_full_unstemmed Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography
title_short Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography
title_sort numerical simulation for the evolution of internal solitary waves propagating over slope topography
topic internal solitary waves
boundary element method
numerical simulation
potential flow
url https://www.mdpi.com/2077-1312/9/11/1224
work_keys_str_mv AT yingjiehu numericalsimulationfortheevolutionofinternalsolitarywavespropagatingoverslopetopography
AT lizou numericalsimulationfortheevolutionofinternalsolitarywavespropagatingoverslopetopography
AT xinyuma numericalsimulationfortheevolutionofinternalsolitarywavespropagatingoverslopetopography
AT zhesun numericalsimulationfortheevolutionofinternalsolitarywavespropagatingoverslopetopography
AT aiminwang numericalsimulationfortheevolutionofinternalsolitarywavespropagatingoverslopetopography
AT tiezhisun numericalsimulationfortheevolutionofinternalsolitarywavespropagatingoverslopetopography