A Strongly-Nonlinear Model for Water Waves in Water of Variable Depth—The Irrotational Green-Naghdi Model

[+] Author and Article Information
J. W. Kim

American Bureau of Shipping, Houston, TX 77079

K. J. Bai

Seoul National University, Seoul, Republic of Korea

R. C. Ertekin

University of Hawaii, Honolulu, HI 96822

W. C. Webster

University of California at Berkeley, Berkeley, CA 94720

J. Offshore Mech. Arct. Eng 125(1), 25-32 (Feb 28, 2003) (8 pages) doi:10.1115/1.1537722 History: Received February 01, 2002; Revised September 01, 2002; Online February 28, 2003
Copyright © 2003 by ASME
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Dispersion relation of the IGN equations. Numbers on the curves denote the Level K. Note that the negative horizontal axis denotes the imaginary axis of the wave number k.
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Dispersion relation of the linear IGN equation compared with the exact and the perturbation results. Numbers on the curves for the IGN equations denote the Level K.
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The speed-amplitude relation of solitary waves
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Characteristic quantities of solitary waves calculated by the IGN Level 3 equations: (a) celerity, (b) mass, (c) kinetic energy, (d) potential energy
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Surface profiles of solitary waves for ϖ=0.9
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Nonlinear dispersion relation of the Stokes waves in finite depth  
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Evolution of the wave profiles during reflection
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Maximum run-up of solitary wave on a vertical wall
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Initial wave elevation and bottom topography for unsteady shoaling
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Crest and trough envelopes for unsteady shoaling




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