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

Ming Hung Cheng, Chih Min Hsieh, John R.C. Hsu, Robert R. Hwang

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Article number095309
    JournalAIP Advances
    Volume7
    Issue number9
    DOIs
    Publication statusPublished - 1 Sep 2017

    Fingerprint

    shelves
    solitary waves
    slopes
    plateaus
    waveforms
    internal waves
    vortex shedding
    wave generation
    finite volume method
    troughs
    Navier-Stokes equation
    closures
    wave propagation
    simulation
    grids
    vortices
    interactions

    Cite this

    Cheng, Ming Hung ; Hsieh, Chih Min ; Hsu, John R.C. ; Hwang, Robert R. / Transformation of mode-2 internal solitary wave over a pseudo slope-shelf. In: AIP Advances. 2017 ; Vol. 7, No. 9.
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    title = "Transformation of mode-2 internal solitary wave over a pseudo slope-shelf",
    abstract = "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.",
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    Transformation of mode-2 internal solitary wave over a pseudo slope-shelf. / Cheng, Ming Hung; Hsieh, Chih Min; Hsu, John R.C.; Hwang, Robert R.

    In: AIP Advances, Vol. 7, No. 9, 095309, 01.09.2017.

    Research output: Contribution to journalArticle

    TY - JOUR

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    AU - Cheng, Ming Hung

    AU - Hsieh, Chih Min

    AU - Hsu, John R.C.

    AU - Hwang, Robert R.

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    N2 - 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.

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