三阶非线性海浪波面斜率的联合概率统计分布

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

青岛海洋大学海洋环境学院, 青岛 266003

基金项目: 国家自然科学基金(编号:49676274)

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出版历程
- 收稿日期: 1998-01-20
- 修回日期: 1998-06-15

Joint statistical distribution of surface slopes for the third-ordernonlinear random sea waves

Marine Environmental College, Ocean University of Qingdao, Qingdao 266003

摘要

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.
- 非线性统计分布 /
- 波面斜率 /
- 耦合矩
Abstract: Based upon honguet-Higgins's nonlinear model of randan sea waves,the joint statistical distribution of isotopic,surface slopes exact to the third-order is derived.It is shown that the joirn distribution of surface slopes has the form of truncated Gram-Charlier seties.The trtutcated terms are decided by the order of approximation to nonlinearity of sea waves.For each order appteuumatiorr,the coefficients in the series are modified comparatively to the cosesponding ones for the previous order apprardrnation.The distribution reduces to Gaussian if the effeM of nonlinear wave-wave couplinK tnteraction is excluded.
- Nonlinear statistical distribution /
- wave surface slopes /
- coupling mument

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参考文献(17)

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