Interaction of Internal Waves with a Topographic Sill in a Two-Layered Fluid

Wessels, Frank J.; Hutter, Kolumban

doi:10.1175/1520-0485(1996)026<0005:ioiwwa>2.0.co;2

Cited by 80 publications

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“…One would expect that in our case of smoothed pycnocline this parameter does not only control the amount of transmitted and reflected energy but also the redistribution (splitting) of the energy between first and higher baroclinic modes. So, contrary to the paper of Wessels and Hutter (1996), we now formulate a wider question and try to recognize what might be the influence of the blocking parameter on the quantitative characteristics (amplitudes) and on the qualitative structure (comparison with K-dV solitons) of the reflected and transmitted waves. Figure 11 displays the dependence of the amplitudes of the reflected and transmitted (first and second) waves on the sill height.…”

Section: Dependence On Sill Height (Blocking Parameter B)mentioning

confidence: 98%

“…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%

“…The runs were performed in order to evaluate the influence of the height of a sill on the characteristics of the reflected and transmitted waves. In experimental work (Wessels and Hutter, 1996) the main question under study was to delineate the portions of an incoming wave that are reflected, transmitted or dissipated. It was found there that, for a two-layered fluid, the blocking parameter B is the basic parameter controlling the transfer of the energy across an obstacle.…”

Section: Dependence On Sill Height (Blocking Parameter B)mentioning

confidence: 99%

“…This demonstrates a growing effective energy transfer with increasing blocking parameter from the incoming first mode solitary waves to the secondary scattered waves. As in the experimental work of Wessels and Hutter (1996), the scattering of the energy of the incoming wave may be ignored, however, when B < 0.6.…”

Section: Dependence On Sill Height (Blocking Parameter B)mentioning

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: Dependence On Sill Height (Blocking Parameter B)mentioning

confidence: 98%

Section: Experimental Setup and Measuring Techniquementioning

confidence: 99%

Section: Dependence On Sill Height (Blocking Parameter B)mentioning

confidence: 99%

Section: Dependence On Sill Height (Blocking Parameter B)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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