Transformation of mode-2 internal solitary wave over a pseudo slope-shelf

Numerical simulations are performed to investigate the effect of wave amplitude in a numerical wave tank on the evolution of a convex mode-2 internal solitary wave (ISW) propagating over a pseudo slope-shelf. A finite volume method based on a Cartesian grid system is adopted to solve the Navier-Stok...

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Main Authors: Ming-Hung Cheng, Chih-Min Hsieh, John R.-C. Hsu, Robert R. Hwang
Format: Article
Language:English
Published: AIP Publishing LLC 2017-09-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5000972
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spelling doaj-e9597433311443ffb64d057e9bbf75192020-11-25T00:57:33ZengAIP Publishing LLCAIP Advances2158-32262017-09-0179095309095309-1910.1063/1.5000972033709ADVTransformation of mode-2 internal solitary wave over a pseudo slope-shelfMing-Hung Cheng0Chih-Min Hsieh1John R.-C. Hsu2Robert R. Hwang3Department of System Engineering and Naval Architecture, National Taiwan Ocean University, Keelung 20224, Taiwan, R.O.CDepartment of Maritime Information and Technology, National Kaohsiung Marine University, Kaohsiung 80543, Taiwan, R.O.CSchool of Civil, Environmental and Mining Engineering, University of Western Australia, Crawley WA 6009, AustraliaDepartment of System Engineering and Naval Architecture, National Taiwan Ocean University, Keelung 20224, Taiwan, R.O.CNumerical simulations are performed to investigate the effect of wave amplitude in a numerical wave tank on the evolution of a convex mode-2 internal solitary wave (ISW) propagating over a pseudo slope-shelf. A finite volume method based on a Cartesian grid system is adopted to solve the Navier-Stokes equations using Improved Delayed Detached Eddy Simulation model for the turbulent closure. Numerical results reveal three types of waveform during wave generation on the flat bottom: (1) pseudo vortex shedding in the case of very large initial amplitude; (2) PacMan phenomenon in large amplitude; and (3) smooth mode-2 ISW for small amplitude. During wave propagation on the plateau, the first type of waveform induces a quasi-elevated mode-1 ISW; the second generates chaotic internal waves with significant reduction in amplitude; while the third renders a slightly deformed mode-2 ISW across the plateau. Moreover, the decrease in the magnitude of leading trough is more intense than that in the leading crest due to strong wave-obstacle interaction in the case of very large initial wave amplitude.http://dx.doi.org/10.1063/1.5000972
collection DOAJ
language English
format Article
sources DOAJ
author Ming-Hung Cheng
Chih-Min Hsieh
John R.-C. Hsu
Robert R. Hwang
spellingShingle Ming-Hung Cheng
Chih-Min Hsieh
John R.-C. Hsu
Robert R. Hwang
Transformation of mode-2 internal solitary wave over a pseudo slope-shelf
AIP Advances
author_facet Ming-Hung Cheng
Chih-Min Hsieh
John R.-C. Hsu
Robert R. Hwang
author_sort Ming-Hung Cheng
title Transformation of mode-2 internal solitary wave over a pseudo slope-shelf
title_short Transformation of mode-2 internal solitary wave over a pseudo slope-shelf
title_full Transformation of mode-2 internal solitary wave over a pseudo slope-shelf
title_fullStr Transformation of mode-2 internal solitary wave over a pseudo slope-shelf
title_full_unstemmed Transformation of mode-2 internal solitary wave over a pseudo slope-shelf
title_sort transformation of mode-2 internal solitary wave over a pseudo slope-shelf
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2017-09-01
description Numerical simulations are performed to investigate the effect of wave amplitude in a numerical wave tank on the evolution of a convex mode-2 internal solitary wave (ISW) propagating over a pseudo slope-shelf. A finite volume method based on a Cartesian grid system is adopted to solve the Navier-Stokes equations using Improved Delayed Detached Eddy Simulation model for the turbulent closure. Numerical results reveal three types of waveform during wave generation on the flat bottom: (1) pseudo vortex shedding in the case of very large initial amplitude; (2) PacMan phenomenon in large amplitude; and (3) smooth mode-2 ISW for small amplitude. During wave propagation on the plateau, the first type of waveform induces a quasi-elevated mode-1 ISW; the second generates chaotic internal waves with significant reduction in amplitude; while the third renders a slightly deformed mode-2 ISW across the plateau. Moreover, the decrease in the magnitude of leading trough is more intense than that in the leading crest due to strong wave-obstacle interaction in the case of very large initial wave amplitude.
url http://dx.doi.org/10.1063/1.5000972
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