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Statistical properties of wave groups described by group-induced long waves

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Abstract

A new method using group-induced second-order long waves (GSLW) to describe wave groups is presented in this paper on the basis of the GSLW theory by Longuet-Higgins and Steward (1964). In the method, the parabolic relationship between GSLW and the wave envelope is first deduced, and then the distribution function of GSLW amplitude is derived. Thus, the formulae in terms of the moments of GSLW and short wave spectra for the average time duration and the mean length of runs of wave heights exceeding a certain level can be derived. A new groupiness factor equivalent to half the mean wave number in wave groups is defined by taking into account the widths of spectra of GSLW and short waves. Compared with theoretical results of others, ours are closer to measured wave data.

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Authors and Affiliations

  1. First Institute of Oceanography, SOA, 266003, Qingdao

    Lin Weiqi & Huang Peiji

Authors
  1. Lin Weiqi
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  2. Huang Peiji
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This project was funded by the National Natural Science Foundation of China.

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Weiqi, L., Peiji, H. Statistical properties of wave groups described by group-induced long waves. Chin. J. Ocean. Limnol. 10, 57–67 (1992). https://doi.org/10.1007/BF02844300

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  • DOI: https://doi.org/10.1007/BF02844300

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