Nonlinear internal waves over variable topography

Diebels, Stefan; Schuster, Bernd; Hutter, Kolumban

doi:10.1080/03091929408203664

Cited by 17 publications

(17 citation statements)

References 25 publications

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“…The properties of the first mode solitary wave were also well discussed in (Diebels et al, 1994;Maurer et al, 1996;Wessel and Hutter, 1996) and so this paper will concentrate on the second mode peak. The most significant difference between the two observed wave modes is their travelling speed.…”

Section: Typical Experimental Datamentioning

confidence: 99%

“…The experimental arrangement and measuring techniques have been reported earlier in Diebels et al (1994), Maurer et al (1996), and Wessels and Hutter (1996). For details of the experimental setup and methods of measurements (the construction of the wave channel, wave generator, error estimation, performance of the experiments) the reader is referred to these papers.…”

Section: Experimental Setup and Measuring Techniquementioning

confidence: 99%

“…When partially blocking the lower layer by a sill an incoming solitary wave will be split into a reflected and a transmitted part. Depending on the degree of blocking B = H r / h 2 , defined as the ratio of the sill height H r to the height of the lower layer h 2 , the forward and backward moving waves either keep the solitary character or are changed into oscillating wave trains; see Diebels et al (1994), Maurer et al (1996). As a special case, the excitation of a second transmitted solitary wave following the first at lower speed was observed.…”

Section: The Experimentsmentioning

confidence: 99%

“…Laboratory experiments on the interaction of solitary internal waves with a sill were also performed to study the energy loss caused by the interaction (Diebels et al, 1994;Maurer et al, 1996;Wessels and Hutter, 1996). It was found that the ratio of the height of the sill to the thickness of the lower layer was the parameter controlling the amount of transmitted and reflected energy.…”

Section: Introductionmentioning

confidence: 99%

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Generation of second mode solitary waves by the interaction of a first mode soliton with a sill

Vlasenko

Hutter

2001

Nonlin. Processes Geophys.

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Abstract.Results of an experimental and theoretical study of the interaction of a first mode internal solitary wave with a localised bottom topography (sill) are presented. Laboratory experiments have been performed in a 10m long and 0.33m wide channel filled with a stratified fluid. The interface between the two layers (fresh and salt water) is diffuse and has a finite thickness. Soliton-type disturbances of the interface having characteristics of the first baroclinic mode are generated at one channel end. They move along the channel and encounter an underwater obstacle (sill) in the middle of the channel, where they break into reflected and transmitted waves. Two types of internal waves are produced by the interaction: a fast first mode internal soliton and a slower (by a factor of approximately 3) second mode soliton-like wave.A numerical model, based on the two-dimensional NavierStokes equations in the Boussinesq approximation, is used to reproduce the laboratory experiment. The detailed analysis of the horizontal and vertical structures of transmitted and reflected waves showed that the fast reflected and transmitted waves observed in the experiment can be interpreted as a first mode internal solitary wave whose characteristics are very close to those of the K-dV solitons. It is also demonstrated that the slow speed waves, generated during the interaction behind the first fast wave have vertical and horizontal structures very close to the second mode internal K-dV solitons.

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Section: Typical Experimental Datamentioning

confidence: 99%

Section: Experimental Setup and Measuring Techniquementioning

confidence: 99%

Section: The Experimentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generation of second mode solitary waves by the interaction of a first mode soliton with a sill

Vlasenko

Hutter

2001

Nonlin. Processes Geophys.

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“…The interaction of solitary waves with a sloping bottom has also been the subject of many theoretical and experimental studies [Kao et al, 1985;Wallace and Wilkinson, 1988;Helferich, 1992;Liu et al, 1998;Vlasenko and Hutter, 2002a]. However, to our knowledge, the interaction of internal solitary waves with a sill has only been studied in laboratory experiments [Diebels et al, 1994;Wessels and Hutter, 1996;Huettemann and Hutter, 2001].…”

Section: Introductionmentioning

confidence: 99%

Generation of secondary internal waves by the interaction of an internal solitary wave with an underwater bank

Vlasenko¹

2005

J. Geophys. Res.

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[1] The generation of secondary internal waves by the interaction of a large-amplitude internal solitary wave with the Dreadnought Bank in the Andaman Sea (6°40 0 N, 95°47 0 E) is shown by analyzing a synthetic aperture radar (SAR) image acquired by the European Remote Sensing satellite ERS-2 and by carrying out model calculations. Although the Dreadnought Bank is quite deep (241 m), the model calculations show that largeamplitude internal solitary waves as encountered in this sea area can overturn and break over the bank and generate secondary internal waves. Comparison of model results with observations clearly demonstrates that the semicircular wave pattern visible on the ERS-2 SAR image centered at the Dreadnought Bank is indeed a sea surface manifestation of a secondary internal wave packet generated by scattering of a large-amplitude internal solitary wave and not by the interaction of the barotropic tidal flux with this underwater obstacle.Citation: Vlasenko, V., and W. Alpers (2005), Generation of secondary internal waves by the interaction of an internal solitary wave with an underwater bank,

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Higher-Order Baroclinicity (I): Two Fluid Layers with Diffuse Interface – Three Fluid Layers with Sharp Interfaces

2011

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Nonlinear internal waves over variable topography

Cited by 17 publications

References 25 publications

Generation of second mode solitary waves by the interaction of a first mode soliton with a sill

Generation of second mode solitary waves by the interaction of a first mode soliton with a sill

Generation of secondary internal waves by the interaction of an internal solitary wave with an underwater bank

Higher-Order Baroclinicity (I): Two Fluid Layers with Diffuse Interface – Three Fluid Layers with Sharp Interfaces

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