| Beta Distribution of Surface Elevation of Random Waves |
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| 作者姓名： | ZHANG Jun |
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| 作者单位： | Physical Oceanography Laboratory，Ocean University ofQingdao，Physical Oceanography Laboratory，Ocean University ofQingdao Qingdao 266003，China，Qingdao 266003，China |
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| 摘 要： | A probability density function (PDF) is derived of beta distribution with both λ3 (skewness) and λ4 (kurtosis) as parameters for weakly nonlinear wave surface elevation by use of a method recently proposed by Srokosz. This PDF not only has a simpler form than the well-known Gram-Charlier Series PDF derived by Longuet-Higgins. but also overcomes an obvious shortcoming of the latter that when the series is unsuitably truncated, the resulting PDF is locally negative. To test the derived beta PDF, laboratorial experiments of wind waves are conducted. The experimental data indicate that the theoretical requirements of the parameters in the beta PDF are fulfilled. The experimental results show that the present PDF is in better agreement with the measured data than the beta PDF only including parameter λ3, and also than the Gram-Charlier Series PDF truncated up to the term of H6.
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Beta Distribution of Surface Elevation of Random Waves |
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| ZHANG Jun and XU DelunPhysical Oceanography Laboratory,Ocean University ofQingdao,Qingdao ,China.Beta Distribution of Surface Elevation of Random Waves[J].China Ocean Engineering,2001(1):53-60. |
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| Authors: | ZHANG Jun and XU DelunPhysical Oceanography Laboratory Ocean University ofQingdao Qingdao China |
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| Institution: | Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao 266003, China Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao 266003, China |
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| Abstract: | |
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| Keywords: | weak nonlinearity probability density function skewness kurtosis |
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