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, 2021
The variable-coefficient modified Gardner equation is proposed to describe large amplitude internal solitary waves (ISWs) propagating over slope-shelf topography.
Changhong Zhi +3 more
semanticscholar +1 more source
The variable-coefficient modified Gardner equation is proposed to describe large amplitude internal solitary waves (ISWs) propagating over slope-shelf topography.
Changhong Zhi +3 more
semanticscholar +1 more source
Marine georesources & geotechnology, 2021
Internal solitary waves bring great challenges to the safety of deep-sea mining pipeline deployment operations. The three-dimensional finite element model of deep-sea mining pipeline system under the action of internal solitary waves is established and ...
Rongyao Wang +4 more
semanticscholar +1 more source
Internal solitary waves bring great challenges to the safety of deep-sea mining pipeline deployment operations. The three-dimensional finite element model of deep-sea mining pipeline system under the action of internal solitary waves is established and ...
Rongyao Wang +4 more
semanticscholar +1 more source
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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