The mean excursion characteristic quantity of two-dimensional ocean waves and its application

ZHENG Gui-zhen; FAN Hai-mei; XU De-lun

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ZHENG Gui-zhen, FAN Hai-mei, XU De-lun. The mean excursion characteristic quantity of two-dimensional ocean waves and its application[J]. Haiyang Xuebao, 2003, 25(2): 18-24.

Citation:

ZHENG Gui-zhen, FAN Hai-mei, XU De-lun. The mean excursion characteristic quantity of two-dimensional ocean waves and its application[J]. Haiyang Xuebao, 2003, 25(2): 18-24.

ZHENG Gui-zhen, FAN Hai-mei, XU De-lun. The mean excursion characteristic quantity of two-dimensional ocean waves and its application[J]. Haiyang Xuebao, 2003, 25(2): 18-24.

Citation:

ZHENG Gui-zhen, FAN Hai-mei, XU De-lun. The mean excursion characteristic quantity of two-dimensional ocean waves and its application[J]. Haiyang Xuebao, 2003, 25(2): 18-24.

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The mean excursion characteristic quantity of two-dimensional ocean waves and its application

Received Date: 2002-07-17
Rev Recd Date: 2002-10-08

Abstract

Abstract

The Adlcr's theory on the excursion characteristic quantity of two-dimension random wave.is applied to investigate a two-dimension linear ocean wave field.A expression is derived, in which the mean excursion characteristic quantity is expressed explicitly in terms of spectral moment.This expression is then used to present a formula for calculating the mean number of waves in one cluster surpassing a high reference level.This formula is somewhat different from that given by Glazman.Further, a formula for calculating the mean area per cluster of high waves is also presented.Finally, some numerical results are given by use of current directional spemrum model of ocean waves to calculate the spectral moments in the relevant formula.
- ocean waves,
- geometry,
- wave envelope

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References(11)

References

RICE S O. The mathematical analysis of random noise. Bell Syst. Tech J, 1944, 23:282-332;1945, 24:46-156.

LONGUET-HIGGINSMS. The statistical analysis of arandom, movingsurface[J]. PhilTrans RSocLond, 1957, A249:321-387.

LONGUET-HIGGINS M S. Statistical properties of wave groups in a random sea state[J]. Phil Trans R Soc Lond, 1984,A312 :219-250.

NOSCO V P. The characteristics of excursions of Gaussian homogeneous fields above a high level[A]. Proceedings of the USSR-Japan Symposium on Probability[C]. Novosibirsk, 1969.

LINDGREN G. Local maxima of Gaussian fields[J]. Ark Mat, 1972, 10:195-218.

ADLER R J. On the envelope of a Gaussian random field[J]. J Appl Prob, 1978, 15:502-513.

ADLER R J. The Geometry of Random Fields[M]. New York:John Wiley, 1981.

GLAZMAN R E. Statistical characterization of sea surface geometry for a wave slope field discontinuous in the mean square[J]. J GeophysRes, 1986, 91(C5), 6 629-6 641.

孙孚.三维海浪要素的统计分布[J].中国科学(A),1988,5:501-508.

徐德伦,于定勇.随机海浪理论[M].北京:高等教育出版社,2001.112.

文圣常,余宙文.海浪理论与计算原理[M].北京:科学出版社,1984.159.

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