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Internal solitary waves and their head-on collision. II
The Physics of Fluids, 1986The head-on collision between two modified Korteweg–de Vries (MKdV) solitary waves is investigated where cubic and quadratic nonlinearities balance dispersion. These waves propagate at the interface of an inviscid two-fluid system where the ratio of the fluids densities is comparable to the square of the ratio of depths.
Mirie, Rida M., Su, C. H.
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1997
The basic theory of internal solitary waves is developed, with the main emphasis on environmental situations, such as the many occurrences of such waves in shallow coastal seas and in the atmospheric boundary layer. Commencing with the equations of motion for an inviscid, incompressible density-stratified fluid, we describe asymptotic reductions to ...
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The basic theory of internal solitary waves is developed, with the main emphasis on environmental situations, such as the many occurrences of such waves in shallow coastal seas and in the atmospheric boundary layer. Commencing with the equations of motion for an inviscid, incompressible density-stratified fluid, we describe asymptotic reductions to ...
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The effect of rotation on internal solitary waves
IMA Journal of Applied Mathematics, 2012In 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, 2007A 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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Solitary internal waves in deep water
Journal of Fluid Mechanics, 1967A 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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A Model for the Alboran Sea Internal Solitary Waves
Journal of Physical Oceanography, 1989Abstract 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, 2010The 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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Breaking and broadening of internal solitary waves
Journal of Fluid Mechanics, 2000Solitary 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, 2005Tidal, 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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Experiments on solitary internal Kelvin waves
Deep Sea Research Part B. Oceanographic Literature Review, 1983Elementary 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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