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Zhao Dongliang,Masuda Akira,Wen Shengchang,Guan Changlong. 1999. A laboratory study of directional spectra with maximum likelihood method-Ⅰ Developing wind wave. Acta Oceanologica Sinica, (1):59-74
A laboratory study of directional spectra with maximum likelihood method-Ⅰ Developing wind wave
A laboratory study of directional spectra with maximum likelihood method-Ⅰ Developing wind wave
Received:May 15, 1997  Revised:July 21, 1997
DOI:
Key words:Directional spectrum  maximum likelihood method  wind wave
中文关键词:  Directional spectrum  maximum likelihood method  wind wave
基金项目:
Author NameAffiliation
Zhao Dongliang Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao 266003, China 
Masuda Akira Research Institute for Applied Mechanics, Kyū
shū
University, Kasuga 816, Japan 
Wen Shengchang Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao 266003, China 
Guan Changlong Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao 266003, China 
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Abstract:
      measurements by a circular array consisting of 18 wave gauges in a large wave tank, directional spectra of wind-generated waves in deep water are systematically determined by using maximum likelihood method The investigations reveal that the angular spreading of the wave energy is consistent with cos2s(θ/2) proposed by Longuet-Higgins et al.(1963, Ocean Wave Spectra, 111-136), if the bimodal distributions of wave energy are not taken into account. Bimodality occurring on higher frequency than peak frequency is too rare to affect our whole resalts. Surprisingly, a much broader directional spreading than that of the field, which is interpreted by the strongly nonlinear energy transfer because of the very young waves in laboratory, is found. The parameter s depends on frequency in the same way as observed by Mitsuyasu et al.(1975, Journal of Physical Oceanography, 5, 750-760) and Hasselmann et al.(1980, Journal of Physical Oceanography, 10, 1264-1280) in the field, and the relationship between the four nondimensional parameters sm, fo, b1 and b2, determining the directional width, and ū10 (corresponding to the inverse of wave age) are given respectively. The observed distributions are found to agree well with the suggestion of Donelan et al.(1985, Philosophical Transaction of Royal Society of London, A315, 509-562) when applied to field waves.
中文摘要:
      From measurements by a circular array consisting of 18 wave gauges in a large wave tank, directional spectra of wind-generated waves in deep water are systematically determined by using maximum likelihood method The investigations reveal that the angular spreading of the wave energy is consistent with cos2s(θ/2) proposed by Longuet-Higgins et al.(1963, Ocean Wave Spectra, 111-136), if the bimodal distributions of wave energy are not taken into account. Bimodality occurring on higher frequency than peak frequency is too rare to affect our whole resalts. Surprisingly, a much broader directional spreading than that of the field, which is interpreted by the strongly nonlinear energy transfer because of the very young waves in laboratory, is found. The parameter s depends on frequency in the same way as observed by Mitsuyasu et al.(1975, Journal of Physical Oceanography, 5, 750-760) and Hasselmann et al.(1980, Journal of Physical Oceanography, 10, 1264-1280) in the field, and the relationship between the four nondimensional parameters sm, fo, b1 and b2, determining the directional width, and ū10 (corresponding to the inverse of wave age) are given respectively. The observed distributions are found to agree well with the suggestion of Donelan et al.(1985, Philosophical Transaction of Royal Society of London, A315, 509-562) when applied to field waves.
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