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TECHNICAL PAPERS

Nonlinear Internal Solitary Wave on a Pycnocline

[+] Author and Article Information
Daniel T. Valentine

Applied Research Laboratory, Penn State University, State College, PA 16804-0030e-mail: clara@clarkson.edu

Radica Sipcic

Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699e-mail: radica.sipcic@awo.com

J. Offshore Mech. Arct. Eng 124(3), 120-124 (Aug 01, 2002) (5 pages) doi:10.1115/1.1490380 History: Received November 01, 2000; Revised November 01, 2001; Online August 01, 2002
Copyright © 2002 by ASME
Topics: Waves
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References

Figures

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Velocity profile at the horizontal location of the peak of the leading solitary wave; x=18.45
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Flow properties of the leading solitary wave: (a) The θ=0.5 isopycnal; (b) The distortion of the pycnocline caused by the wave—Nine equally-spaced contours in the range 0.1≤θ≤0.9; (c) The streamline pattern—Twenty equally-spaced contours in the range −0.0757≤ψ≤0.0202; and (d) Vorticity field—Seventy-two equally-spaced contours in the range −60.8≤ζ≤30,9 (the four contors in the center of the wave are for ζ=1.16, 2.40, 3.64 and 4.88 with the largest value closest to the center of the pattern)
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The left side of a rectangular basin illustrating the initial variation of the reference density-difference ratio, θ̄(z), including the shape of the pycnocline on which the solitary wave propagates and the shape of the displaced pool used to generate it
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The density-difference ratio as a function of depth illustrating the shape of the pycnocline density structure
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The stream function versus time at the location (x,z)=(17.5,0.725): the solid line is the computational prediction; the dash-dot line is the KdV theory solitary wave (Inset: The spatial shape of the leading solitary wave as depicted by the θ=0.5 isopycnal)

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