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...
Main Authors: | , , , , , |
---|---|
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 |