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Statistical distribution of nonlinear random wave height
作者姓名:HOU Yijun  GUO Peifang    SONG Guiting    SONG Jinbao  YIN Baoshu & ZHAO Xixi  . Institute of Oceanology  Chinese Academy of Sciences  Qingdao  China  . Graduate University of the Chinese Academy of Sciences  Beijing  China
作者单位:HOU Yijun1,GUO Peifang1,2,SONG Guiting1,2,SONG Jinbao1,YIN Baoshu1 & ZHAO Xixi1,2 1. Institute of Oceanology,Chinese Academy of Sciences,Qingdao 266071,China; 2. Graduate University of the Chinese Academy of Sciences,Beijing 100039,China
摘    要:1 Introduction The probability distribution of ocean wave element is one of the results of application of random process theory to the ocean wave study. A great amount of outcome has obtained in this field1,2]. In fact, a great deal of research on linear…

收稿时间:25 May 2005
修稿时间:16 December 2005

Statistical distribution of nonlinear random wave height
HOU Yijun,GUO Peifang,,SONG Guiting,,SONG Jinbao,YIN Baoshu & ZHAO Xixi, . Institute of Oceanology,Chinese Academy of Sciences,Qingdao ,China, . Graduate University of the Chinese Academy of Sciences,Beijing ,China.Statistical distribution of nonlinear random wave height[J].Science in China(Earth Sciences),2006,49(4):443-448.
Authors:HOU Yijun  GUO Peifang  SONG Guiting  SONG Jinbao  YIN Baoshu  ZHAO Xixi
Institution:1. Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China
2. Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Graduate University of the Chinese Academy of Sciences, Beijing 100039, China
Abstract:A statistical model of random wave is developed using Stokes wave theory of water wave dynamics. A new nonlinear probability distribution function of wave height is presented. The results indicate that wave steepness not only could be a parameter of the distribution function of wave height but also could reflect the degree of wave height distribution deviation from the Rayleigh distribution. The new wave height distribution overcomes the problem of Rayleigh distribution that the prediction of big wave is overestimated and the general wave is underestimated. The prediction of small probability wave height value of new distribution is also smaller than that of Rayleigh distribution. Wave height data taken from East China Normal University are used to verify the new distribution. The results in- dicate that the new distribution fits the measurements much better than the Rayleigh distribution.
Keywords:Random ocean wave  nonlinearity  wave height distribution  
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