A Theoretical and Experimental Study of Precursor Solitary Waves Generated by Moving Disturbances

  • S. J. Lee
  • G. T. Yates
  • T. Y. Wu
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

This is a joint theoretical, numerical and experimental study of the recently identified resonance phenomenon whereby a forcing disturbance moving steadily with a transcritical velocity in shallow water can generate, periodically, a succession of solitary waves, advancing upstream of the disturbance. A series of numerical and laboratory experiments was carried out with a cambered topography serving as the forcing disturbance moving over the floor of a water layer with velocity U, or Fronde number \( F = U/\sqrt {{g{{h}_{0}}}} \),where g is the acceleration of gravity and h o the original uniform water depth. Within the transcritical range of about 0.4 < F < 1.2 tested, and over a range of disturbance amplitudes, a series of upstream advancing solitary waves were generated, one after another, while a train of weakly nonlinear and weakly dispersive waves developed downstream of the disturbances immediately behind a nearly constant but elongating depressed water surface. For a review of the history and literature on this subject, we refer to the recent work by Wu (1987).

Keywords

Soliton 

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References

  1. Lee, S.J. 1985 Generation of long water waves by moving disturbances. Ph.D. Thesis, California Institute of Technology, Pasadena, CA. USAGoogle Scholar
  2. Wu, T.Y. 1979 On tsunami propagation–evaluation of existing mod-. els. Tsunamis, Proc. of the the National Science Foundation Workshop organized and edited by L.S. Hwang & Y.K. Lee pp. 110–149.Google Scholar
  3. Wu, D.M. & T.Y. Wu 1982 Three-dimensional nonlinear long waves due to moving surface pressure. Proc 14th Sym Naval Hydro. pp. 103–125.Google Scholar
  4. Wu, T.Y. 1987 Generation of upstream-advancing solitons by moving disturbances. J. Fluid Mechanics (In Press)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • S. J. Lee
    • 1
  • G. T. Yates
    • 1
  • T. Y. Wu
    • 1
  1. 1.Engineering ScienceCalifornia Institute of TechnologyPasadenaUSA

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