Modelling of the motion of an internal solitary wave over a bottom ridge in a stratified fluid

Yakun Guo, J. K. S. Sveen, P. A. Davies, J. Grue, P. Dong

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A series of laboratory experiments has been carried out to investigate the passage of an internal solitary wave of depression over a bottom ridge, in a two-layer fluid system for which the upper and lower layer is linearly-stratified and homogeneous respectively. Density, velocity and vorticity fields induced by the wave propagation over the ridge have been measured simultaneously at three locations, namely upstream, downstream and over the ridge crest, for a wide range of model parameters. Results are presented to show that wave breaking may occur for a sufficiently large wave amplitude and a strong ridge blockage factor, with accompanying mixing and overturning. Density field data are presented (i) to illustrate the overturning and mixing processes that accompany the wave breaking and (ii) to quantify the degree of mixing in terms of the wave and ridge parameters. For weak encounters, good agreement is obtained between the laboratory experimental results (velocity and vorticity fields induced by the wave propagation) and the predictions of a recently-developed fully nonlinear theory. Discrepancies between theory and experiment are discussed for cases in which breaking and mixing occur.

Original languageEnglish
Pages (from-to)415-441
Number of pages26
JournalEnvironmental Fluid Mechanics
Volume4
Issue number3
DOIs
Publication statusPublished - 2004

Keywords

  • internal solitary waves
  • mixing
  • stratification
  • topography
  • wave breaking
  • TURBULENT PATCH
  • BREAKING
  • GENERATION
  • SLOPE
  • TOPOGRAPHY
  • SOLITONS
  • SYSTEM
  • DECAY
  • SILL
  • SEA

Cite this

Modelling of the motion of an internal solitary wave over a bottom ridge in a stratified fluid. / Guo, Yakun; Sveen, J. K. S.; Davies, P. A.; Grue, J.; Dong, P.

In: Environmental Fluid Mechanics, Vol. 4, No. 3, 2004, p. 415-441.

Research output: Contribution to journalArticle

Guo, Yakun ; Sveen, J. K. S. ; Davies, P. A. ; Grue, J. ; Dong, P. / Modelling of the motion of an internal solitary wave over a bottom ridge in a stratified fluid. In: Environmental Fluid Mechanics. 2004 ; Vol. 4, No. 3. pp. 415-441.
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AU - Guo, Yakun

AU - Sveen, J. K. S.

AU - Davies, P. A.

AU - Grue, J.

AU - Dong, P.

PY - 2004

Y1 - 2004

N2 - A series of laboratory experiments has been carried out to investigate the passage of an internal solitary wave of depression over a bottom ridge, in a two-layer fluid system for which the upper and lower layer is linearly-stratified and homogeneous respectively. Density, velocity and vorticity fields induced by the wave propagation over the ridge have been measured simultaneously at three locations, namely upstream, downstream and over the ridge crest, for a wide range of model parameters. Results are presented to show that wave breaking may occur for a sufficiently large wave amplitude and a strong ridge blockage factor, with accompanying mixing and overturning. Density field data are presented (i) to illustrate the overturning and mixing processes that accompany the wave breaking and (ii) to quantify the degree of mixing in terms of the wave and ridge parameters. For weak encounters, good agreement is obtained between the laboratory experimental results (velocity and vorticity fields induced by the wave propagation) and the predictions of a recently-developed fully nonlinear theory. Discrepancies between theory and experiment are discussed for cases in which breaking and mixing occur.

AB - A series of laboratory experiments has been carried out to investigate the passage of an internal solitary wave of depression over a bottom ridge, in a two-layer fluid system for which the upper and lower layer is linearly-stratified and homogeneous respectively. Density, velocity and vorticity fields induced by the wave propagation over the ridge have been measured simultaneously at three locations, namely upstream, downstream and over the ridge crest, for a wide range of model parameters. Results are presented to show that wave breaking may occur for a sufficiently large wave amplitude and a strong ridge blockage factor, with accompanying mixing and overturning. Density field data are presented (i) to illustrate the overturning and mixing processes that accompany the wave breaking and (ii) to quantify the degree of mixing in terms of the wave and ridge parameters. For weak encounters, good agreement is obtained between the laboratory experimental results (velocity and vorticity fields induced by the wave propagation) and the predictions of a recently-developed fully nonlinear theory. Discrepancies between theory and experiment are discussed for cases in which breaking and mixing occur.

KW - internal solitary waves

KW - mixing

KW - stratification

KW - topography

KW - wave breaking

KW - TURBULENT PATCH

KW - BREAKING

KW - GENERATION

KW - SLOPE

KW - TOPOGRAPHY

KW - SOLITONS

KW - SYSTEM

KW - DECAY

KW - SILL

KW - SEA

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DO - 10.1007/s10652-005-0485-4

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EP - 441

JO - Environmental Fluid Mechanics

JF - Environmental Fluid Mechanics

SN - 1567-7419

IS - 3

ER -