| 三阶非线性海浪波面斜率的联合概率统计分布 |
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| 引用本文： | 张书文,孙孚,管长龙.三阶非线性海浪波面斜率的联合概率统计分布[J].海洋学报,1999,21(4):14-20. |
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| 作者姓名： | 张书文 孙孚 管长龙 |
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| 作者单位： | 青岛海洋大学海洋环境学院, 青岛 266003 |
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| 基金项目： | 国家自然科学基金!49676274 |
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| 摘 要： | 从Longuet-Higgins于1963年建立的非线性随机海浪模型出发,对各向同性波面斜率的联台概率统计分布进行了理论研究.结果表明,在三阶近似下,波面斜率联合概率统计分有为截断的Gram-Charlier级数,截断的项数取决于非线性近似的阶数,每一阶近似均对前一阶近似结果有所修正如果不考虑非线性耦合相互作用的影响,则分布蜕化为高斯分布.
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| 关 键 词： | 非线性统计分布 波面斜率 耦合矩 |
| 收稿时间： | 1998/1/20 0:00:00 |
| 修稿时间： | 1998/6/15 0:00:00 |
Joint statistical distribution of surface slopes for the third-ordernonlinear random sea waves |
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| Zhang Shuwen,Sun Fu and Guan Changlong.Joint statistical distribution of surface slopes for the third-ordernonlinear random sea waves[J].Acta Oceanologica Sinica (in Chinese),1999,21(4):14-20. |
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| Authors: | Zhang Shuwen Sun Fu and Guan Changlong |
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| Institution: | Marine Environmental College, Ocean University of Qingdao, Qingdao 266003 |
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| Abstract: | Band upon Longuet-Higgins's nonlinear model of random sea waves, the joint statistical distribution of isotropic wave surfaceslopes exact to the third-order is derived. It is shown that the joint distribution of surface slopes has the farm of truncated Gram-Charlier se ries. The truncated terms are decided by the order of approximation to nonlinearity of sea waves. For each order approximation, the coeffi cients in the series are modified comparatively to the corresponding ones for the previous order approximation. The distribution reduces toGaussian if the effect of nonlinear wave-wave coupling tnteraction is excluded. |
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| Keywords: | Nonlinear statistical distribution wave surface slopes coupling moment |
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