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Physics of Fluids : Large amplitude internal solitary waves in a two-layer system of piecewise linear stratification

By Arnaud Goullet and Wooyoung Choi

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Book Id: WPLBN0002169618
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 16 September 2008

Title: Physics of Fluids : Large amplitude internal solitary waves in a two-layer system of piecewise linear stratification  
Author: Arnaud Goullet and Wooyoung Choi
Volume: Issue : September 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Physics of Fluids Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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And Wooyoung Choi, A. G. (n.d.). Physics of Fluids : Large amplitude internal solitary waves in a two-layer system of piecewise linear stratification. Retrieved from http://nationalpubliclibrary.info/


Description
Description: We study large amplitude internal solitary waves in a two-layer system where each layer has a constant buoyancy frequency (or Brunt–Väisälä frequency). The strongly nonlinear model originally derived by Voronovich [J. Fluid Mech. 474, 85 (2003) ] under the long wave assumption for a density profile discontinuous across the interface is modified for continuous density stratification. For a wide range of depth and buoyancy frequency ratios, the solitary wave solutions of the first two modes are described in detail for both linear-constant and linear-linear density profiles using a dynamical system approach. It is found that both mode-1 and mode-2 solitary waves always point into the layer of smaller buoyancy frequency. The width of mode-1 solitary waves is found to increase with wave amplitude while that of mode-2 solitary waves could decrease. Mode-1 solitary wave of maximum amplitude reaches the upper or lower wall depending on its polarity. On the other hand, mode-2 solitary wave of maximum amplitude can reach the upper or lower wall only when the interface is displaced toward the shallower layer; otherwise, the maximum wave amplitude is smaller than the thickness of the deeper layer. Streamlines and various physical quantities including the horizontal velocity and the Richardson number are computed and discussed in comparison with the recent numerical solutions of the Euler equations by Grue et al. [J. Fluid Mech. 413, 181 (2000) ].

 

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