| Statistical distribution of nonlinear random wave height |
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| 引用本文： | 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. Statistical distribution of nonlinear random wave height[J]. 中国科学D辑(英文版), 2006, 49(4): 443-448. DOI: 10.1007/s11430-006-0443-0 |
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| 作者姓名： | 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 |
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| 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 |
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| 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 field[1,2]. In fact, a great deal of research on linear…
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| 收稿时间： | 2005-05-25 |
| 修稿时间： | 2005-12-16 |
Statistical distribution of nonlinear random wave height |
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| HOU Yijun,GUO Peifang,SONG Guiting,SONG Jinbao,YIN Baoshu,ZHAO Xixi. Statistical distribution of nonlinear random wave height[J]. Science in China(Earth Sciences), 2006, 49(4): 443-448. DOI: 10.1007/s11430-006-0443-0 |
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| Authors: | HOU Yijun GUO Peifang SONG Guiting SONG Jinbao YIN Baoshu ZHAO Xixi |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | Random ocean wave nonlinearity wave height distribution. |
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