Group Structure in Random Seas

T. H. Dawson Ocean Engineering Program, United States Naval Academy, Annapolis, Maryland

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Abstract

Markov theory for statistics of runs of high waves in a random sea is extended to include the special case where runs consist of two or more high waves, that is, for the case of wave groups. Expressions are derived for the average number of waves forming the groups, for the relative number of groups expected, and for the average number of waves between the beginnings of groups. Theoretical results are shown to be in good agreement with data determined from laboratory and computer simulations and from field measurements.

Corresponding author address: Thomas H. Dawson, United States Naval Academy, 590 Holloway Road, Annapolis, MD 21402.

Abstract

Markov theory for statistics of runs of high waves in a random sea is extended to include the special case where runs consist of two or more high waves, that is, for the case of wave groups. Expressions are derived for the average number of waves forming the groups, for the relative number of groups expected, and for the average number of waves between the beginnings of groups. Theoretical results are shown to be in good agreement with data determined from laboratory and computer simulations and from field measurements.

Corresponding author address: Thomas H. Dawson, United States Naval Academy, 590 Holloway Road, Annapolis, MD 21402.

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  • Arhan, M., and R. Ezraty, 1978: Statistical relations between successive wave heights. Oceanol. Acta,1, 151–158.

  • Dawson, T. H., D. L. Kriebel, and L. A. Wallendorf, 1991: Experimental study of wave groups in deep water random waves. Appl. Ocean Res.,13, 116–131.

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  • ———, ———, and ———, 1996: Markov description of wave crest statistics. ASME J. Offshore Mech. Arc. Eng.,118, 37–45.

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    • Export Citation
  • Elgar, S., R. T. Guza, and R. J. Seymour, 1984: Groups of waves in shallow water. J. Geophys. Res.,89, 3623–3634.

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    • Export Citation
  • Ewing, J. A., 1973: Mean length of runs of high waves. J. Geophys. Res.,78, 1933–1936.

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    • Export Citation
  • Goda, Y., 1976: On wave groups. Proc. First Int. Conf. on Behavior of Offshore Structures, Trondheim, Norway, Norwegian Institute of Technology, 115–128.

  • Kimura, A., 1980: Statistical properties of random wave groups. Proc. 17th Int. Conf. on Coastal Engineering, Sydney, Australia, Amer. Soc. Civil Eng., 2955–2973.

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  • Lamb, H., 1924: Hydrodynamics. Cambridge University Press, 687 pp.

  • Longuet-Higgins, M. S., 1952: The statistical distribution of the heights of sea waves. J. Mar. Res.,11, 245–266.

  • ———, 1984: Statistical properties of wave groups in a random sea state. Philos. Trans. Roy. Soc. London, Ser. A,312, 219–250.

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  • Ochi, M. K., and I. I. Sahinoglou, 1989: Stochastic characteristics of wave groups in random seas. Appl. Ocean Res.,11, 39–50.

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  • Rayleigh, L., 1880: On the resultant of a large number of vibrations of the same pitch and of arbitrary phase. Philos. Mag.,10, 73–78.

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