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

Lin Weiqi; Huang Peiji

doi:10.1007/BF02844300

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

OriginalPaper | Updated：2023-05-16

- Statistical properties of wave groups described by group-induced long waves
- Statistical properties of wave groups described by group-induced long waves
- 海洋湖沼学报（英文） 1992年10卷第1期页码：57-67
- Affiliations：
  
  First Institute of Oceanography
- Author bio：
- Funds：
  
  This project was funded by the National Natural Science Foundation of China.
- DOI：10.1007/BF02844300
  中图分类号：
- 纸质出版：1992
- Accepted：
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Statistical properties of wave groups described by group-induced long waves[J]. 海洋湖沼学报（英文）, 1992,10(1):57-67.

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
Statistical properties of wave groups described by group-induced long waves[J]. 海洋湖沼学报（英文）, 1992,10(1):57-67. DOI： 10.1007/BF02844300.

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 DOI：

摘要

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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references

Bowers, E. C., 1977. Harbour resonance due to set-down beneath wave groups.J. Fluid Mech. 79(1): 71–92.

Ewing, J. A., 1973. Mean length of runs of high waves.J. Geophy. Res. 78(12): 1933–1936.

Goda, Y., 1970. Numerical experiments on wave statistics with spectral simulation.Rept Port and Harbour Res. Inst. 9(3): 3–17.

Longuet-Higgins, M. S. and R. W. Steward, 1962. Radiation stresses and mass transport in gravity waves with application to surf beat.J. Fluid. Mech. 13(4): 481–504.

Longuet-Higgins, M. S. and R. W. Steward, 1964. Radiation stresses in water waves: a physical discussion with application.Deep Sea Res. 12: 529–562.

Notle, K. G. and S. H. Hsu, 1972. Statistics of ocean wave groups.Proc. 4th Annu. Offshore Tech. Conf. 12: 637–644.

Ottesen Hansen, N. E., 1978. Long period waves in natural wave trains. Prog. Rept. 46 Inst. Hydrodyn and Hydraulic Engng. Techn. Univ. Denmark. pp. 13–24.

Wen Shengchang et al., 1988. Theoretical wind wave frequency spectra in deep water-I.Acta Oceanologica Sinica,7(1): 1–15.

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