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Theoretical wind wave frequency spectra in deep water——Ⅰ. Form of spectrum
引用本文:Wen Shengchang(S. C. Wen,Zhang Dacuo,Chen Bohai,Guo Peifang. Theoretical wind wave frequency spectra in deep water——Ⅰ. Form of spectrum[J]. 海洋学报(英文版), 1988, 7(1): 1-16
作者姓名:Wen Shengchang(S. C. Wen  Zhang Dacuo  Chen Bohai  Guo Peifang
作者单位:Institute of Physical Oceanography, Shandong College of Oceanography, Qingdao, China;Institute of Physical Oceanography, Shandong College of Oceanography, Qingdao, China;Institute of Physical Oceanography, Shandong College of Oceanography, Qingdao, China;Institute of Physical Oceanography, Shandong College of Oceanography, Qingdao, China
摘    要:In this part ot the paper theoretical wind-wave spectra nave been derived oy (I) expressing the spectrum in series composed of exponential terms; (2) assuming that the spectrum satisfies a high order linear ordinary differential equation; (3) introducing proper parameters in the spectrum; and (4) making use of some known charateristics of wind-wave spectrum, for instance, the law governing the equilibrium range. The spectrum obtained contains the zero order moment of the spectrum m0, the peak frequency ω0 and the ratio R =ω/ω0 (ω being the mean zero-crossing frequency) as parameters. The shape of the nondimensional spectrum S(ω) = ω0S(ω)/m0(ω=ω/ω0) changes with R and theoretically reduces to a Dirac delta function δ(ω-1) when R = 1. A spectrum of simplified form is given for practical uses, in which R is replaced by a peakness factor P=S(1).

收稿时间:1987-07-15
修稿时间:1987-08-20

Theoretical wind wave frequency spectra in deep water——Ⅰ. Form of spectrum
Wen Shengchang(S. C. Wen,Zhang Dacuo,Chen Bohai and Guo Peifang. Theoretical wind wave frequency spectra in deep water——Ⅰ. Form of spectrum[J]. Acta Oceanologica Sinica, 1988, 7(1): 1-16
Authors:Wen Shengchang(S. C. Wen  Zhang Dacuo  Chen Bohai  Guo Peifang
Affiliation:Institute of Physical Oceanography, Shandong College of Oceanography, Qingdao, China
Abstract:In this part ot the paper theoretical wind-wave spectra nave been derived by (1) expressing the spectrum in series composed of exponential terms; (2) assuming that the spectrum satisfies a high order linear ordinary differential equation; (3) introducing proper parameters in the spectrum; and (4) making use of some known charateristics of wind-wave spectrum, for instance, the law governing the equilibrium range. The spectrum obtained contains the zero order moment of the spectrum ω0, the peak frequency ω0 and the ratio R=ω/ω0 (ω being the mean zero-crossing frequency) as parameters. The shape of the nondimensional spectrum Š(ω)=ω0S(ω)/ω0(ω=ω/ω0) changes with R and theoretically reduces to a Dirac delta function δ(ω-1) when R=1. A spectrum of simplified form is given for practical uses, in which R is replaced by a peakness factor P=Š(1).
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