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The effect of rotation on internal solitary waves

IMA Journal of Applied Mathematics, 2012
In the weakly nonlinear long-wave regime, internal solitary waves are often modelled by the Korteweg– de Vries equation, which is well known to support an exact solitary wave solution. However, when the effect of background rotation is taken into account, an additional term is needed and the outcome is the Ostrovsky equation.
R. Grimshaw, K. Helfrich
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A laboratory experiment on internal solitary waves

American Journal of Physics, 2007
A simple laboratory experiment is designed to show the properties of internal solitary waves. The procedure and analysis are suited for a senior undergraduate laboratory course, though the techniques described may also be used for demonstration purposes in a fluid mechanics course.
Daniel Bourgault, Clark Richards
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A Model for the Alboran Sea Internal Solitary Waves

Journal of Physical Oceanography, 1989
Abstract The propagation into the Alboran Sea of the interface depression generated at the Strait of Gibraltar by the interaction of the semidiurnal tidal current with the main (Camarinal) sill is studied numerically by using a unidirectional model with two horizontal space dimensions. An initial waveform within the strait is determined whose evolution
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Breaking of shoaling internal solitary waves

Journal of Fluid Mechanics, 2010
The breaking of fully nonlinear internal solitary waves of depression shoaling upon a uniformly sloping boundary in a smoothed two-layer density field was investigated using high-resolution two-dimensional simulations. Our simulations were limited to narrow-crested waves, which are more common than broad-crested waves in geophysical flows.
Aghsaee, Payam   +2 more
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Experiments on solitary internal Kelvin waves

Deep Sea Research Part B. Oceanographic Literature Review, 1983
Elementary calculations indicate that the effect of the Earth's rotation is likely to be important in the dynamics of most internal waves in oceans, lakes and the atmosphere. Here we present measurements of the structure and properties of one class of such waves, namely solitary internal Kelvin waves, in which the Coriolis force generated by wave ...
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Breaking and broadening of internal solitary waves

Journal of Fluid Mechanics, 2000
Solitary waves propagating horizontally in a stratified fluid are investigated. The fluid has a shallow layer with linear stratification and a deep layer with constant density. The investigation is both experimental and theoretical. Detailed measurements of the velocities induced by the waves are facilitated by particle tracking velocimetry (PTV ...
Grue, John   +3 more
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Generation, propagation, and breaking of internal solitary waves

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2005
Tidal, two-layer flow over topography generates a kink of the interface separating an upstream interfacial elevation from a depression above the topography. Upstream undular bores and solitary waves of large amplitude are generated from the interfacial kink. The waves propagate upstream when the tide turns.
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Solitary internal waves in deep water

Journal of Fluid Mechanics, 1967
A new type of solitary wave motion in incompressible fluids of non-uniform density has been investigated experimentally and theoretically. If a fluid is stratified in such a manner that there are two layers of different density joined by a thin region in which the density varies continuously, this type of wave propagates along the density gradient ...
Davis, Russ E., Acrivos, Andreas
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On the generation of internal solitary marine waves

Il Nuovo Cimento C, 1984
A nonlinear model of generation of internal «solitary» marine waves is discussed: when a large surface wave—for instance a superficial wave or a bore of tidal origin—passes over a submarine mountain or crosses a strait, packets of internal waves may often be detected.
V. Artale   +3 more
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Dissipation in Internal Tides and Solitary Waves

Journal of Physical Oceanography, 1995
Abstract Solitons have been observed and studied on the Scotian Shelf using the vertical microstructure profiler EPSONDE. During one tidal cycle a packet of solitary waves has been sampled four times as it propagated onto the shelf to examine its evolution and decay. Enhanced turbulence and mixing were observed to occur in the strongest shear region of
H. Sandstrom, N. S. Oakey
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