Numerical study on evolution of an internal solitary wave across an idealized shelf with different front slopes

C.M. Hsieh, M.H. Cheng, R.R. Hwang, John Hsu

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

© 2016 Elsevier Ltd.Numerical simulations are performed to investigate the influence of variable front slopes on flow evolution and waveform inversion of a depression ISW (internal solitary wave) over an idealized shelf with variable front slopes. A finite volume based on Cartesian grid method is adopted to solve the Reynolds averaged Navier-Stokes equations using a k-ε model for the turbulent closure. Numerical results exhibit the variations of several pertinent properties of the flow field, in the case with or without waveform inversion on the horizontal plateau of an obstacle. The clockwise vortex is stronger than the counterclockwise one, almost throughout the wave-obstacle interaction. Analysis of the turbulent energy budget reveals that the turbulent production term in the governing equations dominates the wave evolution during a wave-obstacle interaction; otherwise the buoyancy production term and the dissipation term due to viscosity within turbulent eddies play a major role in energy dissipation. In addition, the front slope affects mainly the process and reflection of the wave evolution but has less influence than other physical parameters. Moreover, total wave energy of the leading crest is smaller than that of the leading trough even in the cases with waveform inversion on the plateau.
Original languageEnglish
Pages (from-to)236-253
JournalApplied Ocean Research
Volume59
DOIs
Publication statusPublished - 2016

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Solitons
Buoyancy
Navier Stokes equations
Energy dissipation
Flow fields
Vortex flow
Viscosity
Computer simulation

Cite this

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title = "Numerical study on evolution of an internal solitary wave across an idealized shelf with different front slopes",
abstract = "{\circledC} 2016 Elsevier Ltd.Numerical simulations are performed to investigate the influence of variable front slopes on flow evolution and waveform inversion of a depression ISW (internal solitary wave) over an idealized shelf with variable front slopes. A finite volume based on Cartesian grid method is adopted to solve the Reynolds averaged Navier-Stokes equations using a k-ε model for the turbulent closure. Numerical results exhibit the variations of several pertinent properties of the flow field, in the case with or without waveform inversion on the horizontal plateau of an obstacle. The clockwise vortex is stronger than the counterclockwise one, almost throughout the wave-obstacle interaction. Analysis of the turbulent energy budget reveals that the turbulent production term in the governing equations dominates the wave evolution during a wave-obstacle interaction; otherwise the buoyancy production term and the dissipation term due to viscosity within turbulent eddies play a major role in energy dissipation. In addition, the front slope affects mainly the process and reflection of the wave evolution but has less influence than other physical parameters. Moreover, total wave energy of the leading crest is smaller than that of the leading trough even in the cases with waveform inversion on the plateau.",
author = "C.M. Hsieh and M.H. Cheng and R.R. Hwang and John Hsu",
year = "2016",
doi = "10.1016/j.apor.2016.06.006",
language = "English",
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pages = "236--253",
journal = "Applied Ocean Research",
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Numerical study on evolution of an internal solitary wave across an idealized shelf with different front slopes. / Hsieh, C.M.; Cheng, M.H.; Hwang, R.R.; Hsu, John.

In: Applied Ocean Research, Vol. 59, 2016, p. 236-253.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Numerical study on evolution of an internal solitary wave across an idealized shelf with different front slopes

AU - Hsieh, C.M.

AU - Cheng, M.H.

AU - Hwang, R.R.

AU - Hsu, John

PY - 2016

Y1 - 2016

N2 - © 2016 Elsevier Ltd.Numerical simulations are performed to investigate the influence of variable front slopes on flow evolution and waveform inversion of a depression ISW (internal solitary wave) over an idealized shelf with variable front slopes. A finite volume based on Cartesian grid method is adopted to solve the Reynolds averaged Navier-Stokes equations using a k-ε model for the turbulent closure. Numerical results exhibit the variations of several pertinent properties of the flow field, in the case with or without waveform inversion on the horizontal plateau of an obstacle. The clockwise vortex is stronger than the counterclockwise one, almost throughout the wave-obstacle interaction. Analysis of the turbulent energy budget reveals that the turbulent production term in the governing equations dominates the wave evolution during a wave-obstacle interaction; otherwise the buoyancy production term and the dissipation term due to viscosity within turbulent eddies play a major role in energy dissipation. In addition, the front slope affects mainly the process and reflection of the wave evolution but has less influence than other physical parameters. Moreover, total wave energy of the leading crest is smaller than that of the leading trough even in the cases with waveform inversion on the plateau.

AB - © 2016 Elsevier Ltd.Numerical simulations are performed to investigate the influence of variable front slopes on flow evolution and waveform inversion of a depression ISW (internal solitary wave) over an idealized shelf with variable front slopes. A finite volume based on Cartesian grid method is adopted to solve the Reynolds averaged Navier-Stokes equations using a k-ε model for the turbulent closure. Numerical results exhibit the variations of several pertinent properties of the flow field, in the case with or without waveform inversion on the horizontal plateau of an obstacle. The clockwise vortex is stronger than the counterclockwise one, almost throughout the wave-obstacle interaction. Analysis of the turbulent energy budget reveals that the turbulent production term in the governing equations dominates the wave evolution during a wave-obstacle interaction; otherwise the buoyancy production term and the dissipation term due to viscosity within turbulent eddies play a major role in energy dissipation. In addition, the front slope affects mainly the process and reflection of the wave evolution but has less influence than other physical parameters. Moreover, total wave energy of the leading crest is smaller than that of the leading trough even in the cases with waveform inversion on the plateau.

U2 - 10.1016/j.apor.2016.06.006

DO - 10.1016/j.apor.2016.06.006

M3 - Article

VL - 59

SP - 236

EP - 253

JO - Applied Ocean Research

JF - Applied Ocean Research

SN - 0141-1187

ER -