Representation of statistical properties of wave groups for sea processes with double-peaked spectra

Lin Wei-qi; Huang Pei-ji

doi:10.1007/BF02845469

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Representation of statistical properties of wave groups for sea processes with double-peaked spectra

OriginalPaper | Updated：2023-05-16

- Representation of statistical properties of wave groups for sea processes with double-peaked spectra
- Representation of statistical properties of wave groups for sea processes with double-peaked spectra
- 海洋湖沼学报（英文） 1994年12卷第1期页码：22-29
- Affiliations：
  
  First Institute of Oceanography
- Author bio：
- Funds：
  
  This project was funded by the National Natural Science Foundation of China.
- DOI：10.1007/BF02845469
  中图分类号：
- 纸质出版：1994
- Accepted：
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Representation of statistical properties of wave groups for sea processes with double-peaked spectra[J]. 海洋湖沼学报（英文）, 1994,12(1):22-29.

Wei-qi, L., Pei-ji, H. Representation of statistical properties of wave groups for sea processes with double-peaked spectra., Chin. J. Ocean. Limnol. 12, 22–29 (1994). https://doi.org/10.1007/BF02845469
Representation of statistical properties of wave groups for sea processes with double-peaked spectra[J]. 海洋湖沼学报（英文）, 1994,12(1):22-29. DOI： 10.1007/BF02845469.

Wei-qi, L., Pei-ji, H. Representation of statistical properties of wave groups for sea processes with double-peaked spectra., Chin. J. Ocean. Limnol. 12, 22–29 (1994). https://doi.org/10.1007/BF02845469 DOI：

摘要

Abstract

A method using group-induced second-order long waves(GSLW) to represent statistical properties of wave groups with double-peaked spectra is put forward in this paper on the basis of the GSLW theory. the GSLW is regarded as a weighted linear superimposition of the second-order long wave induced by the low peak frequency section and that induced by the high peak frequency section. There is a parabolic relationship between the GSLW and the wave envelope. Then the probability density function and the distribution function of the GSLW amplitude are derived. Thus the formulas for the average time duration and the mean length of runs can be derived. Good agreement between theoretical results and measured values was achieved

as verified with the measured double-peaked spectra in different regions.

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references

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

Funke, E. R. & Mansard, E. P. D., 1980. On the synthesis of realistic sea states.In: 17th Interna Conf. on Coastal Engng., Sydney., pp. 23–28.

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

Huang Peiji & Hu Zejian, 1989. Representation of double-peaked sea wave spectra in Jiaozhou Bay.Acta Oceanologica Sinica 8(1): 201–211.

Katsutoshi Tanimoto & Katsutoshi Kimura, 1986. Random wave forces and design wave periods of double-peaked spectral waves.Rept. Port and Harbour Res. Inst. 25(2: 3–27 (in Japanese with English abstract).

Lü Changwu, 1990. Preliminary analyses of statistic characteristics of the bimodal spectra waves in Jiaozhou Bay.Journal of Oceanography of Huanghai & Bohai Seas 8(2): 1–7. (in Chinese with English abstract)

Lin Weiqi & Huang Peiji, 1992. Statistical properties of wave groups described by group-induced long waves.Chinese Journal of Oceanology and Limnology 10(1): 57–67.

Notle, K. G. & Hsu S. H., 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.In Prog. Rept. 46 Inst. Hydrodyn and Hydraulic Engng., Techn. Univ., Denmark, pp. 13–24.

Xu Delun, 1989. Rederivation of the distributive function and calculation of wave envelopes.Acta Oceanologica Sinica 11(4): 411–416. (in Chinese)

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