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On Stabilizing the Strongly Nonlinear Internal Wave Model
Studies in Applied Mathematics, 2007A strongly nonlinear asymptotic model describing the evolution of large amplitude internal waves in a two‐layer system is studied numerically. While the steady model has been demonstrated to capture correctly the characteristics of large amplitude internal solitary waves, a local stability analysis shows that the time‐dependent inviscid model suffers ...
Jo, Tae-Chang, Choi, Wooyoung
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Nonlinear Wave Equations for Oceanic Internal Solitary Waves
Studies in Applied Mathematics, 2015In the coastal ocean, the interaction of barotropic tidal currents with topographic features such as the continental shelf, sills in narrow straits, and bottom ridges are often observed to generate large amplitude, horizontally propagating internal solitary waves.
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Nonlinear, periodic, internal waves
Fluid Dynamics Research, 1990It is shown how to calculate large-amplitude, periodic, internal waves in a channel filled with continuously stratified fluid by using a Stokes-type amplitude expansion along the channel and a modal expansion across the channel. We obtain explicit solutions for the case where the density increases exponentially with depth.
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Energy Transport by Nonlinear Internal Waves
Journal of Physical Oceanography, 2007Abstract Winter stratification on Oregon’s continental shelf often produces a near-bottom layer of dense fluid that acts as an internal waveguide upon which nonlinear internal waves propagate. Shipboard profiling and bottom lander observations capture disturbances that exhibit properties of internal solitary waves, bores, and gravity ...
J. N. Moum +4 more
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1984
For centuries sea-going explorers and navigators have been aware of the dangers associated with large-amplitude surface gravity waves. Particularly frightening are the giant waves commonly found around the southern tips of South Africa and South America.
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For centuries sea-going explorers and navigators have been aware of the dangers associated with large-amplitude surface gravity waves. Particularly frightening are the giant waves commonly found around the southern tips of South Africa and South America.
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Nonlinear Internal Waves in a Fjord
1978Abstract A pilot study in Knight Inlet, British Columbia has yielded measurements of large amplitude, nonlinear internal waves in the strongly stratified surface layer. A train of several waves with amplitudes exceeding 10 meters and periods of a few minutes, passed the vessel on each flood tide.
David Farmer, J. Dungan Smith
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Nonlinear Internal Solitary Wave on a Pycnocline
Journal of Offshore Mechanics and Arctic Engineering, 2002This paper describes the theory of nonlinear internal-solitary waves of the type observed in coastal seas. It also describes a numerical solution of an initial-value problem that leads to an internal solitary-like wave. The equations solved numerically are the Navier-Stokes, diffusion, and continuity equations.
Daniel T. Valentine, Radica Sipcic
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Nonlinear dispersion of long internal waves
Fluid Dynamics, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kshevetskij, S. P., Leble, S. B.
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Amplitude Bounds for Nonlinear Internal Waves
Volume 3: Materials Technology; Ocean Engineering; Polar and Arctic Sciences and Technology; Workshops, 2003Amplitude bounds imposed by the conservation of mass, momentum and energy for internal gravity waves are considered. We discuss the theoretical schemes intended for a description of permanent waves just up to the broadening limit. Analytical methods which allow to determine the critical amplitude values for the current with a given density profile are ...
Nikolai I. Makarenko, Janna L. Maltseva
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Nonlinear internal waves in a large lake
Doklady Earth Sciences, 2011Comprehensive experiments on the large stratified Lake Onega have been implemented for the first time. Generation and destruction of nonlinear internal waves under different meteorological conditions have been studied.
N. N. Filatov +3 more
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