| 摘要: |
| 基于非线性随机海浪模型，对各向异性波面斜率统计分布进行了理论研究。结果表明：在高阶近似下，波面斜率统计分布为截断的Gram-Charlier级数，如果忽略波－波相互作用的非线性影响，则Gram-Charlier级数分布蜕化为正态分布。 |
| 关键词: 非线性统计分布 波面斜率 耦合矩 |
| DOI：10.11693/hyhz200001011011 |
| 分类号: |
| 基金项目:国家自然科学基金资助项目，49676274号;海洋环境科学与数值模拟重点实验室资助项目 |
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| JOINT STATISTICAL DISTRIBUTION OF SURFACE SLOPES FOR THE HIGHER ORDER NONLINEAR RANDOM SEA WAVES |
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ZHANG Shu-wen1, Sun Fu2, Guan Chang-long3
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1.First Institute of Oceanography, State Oceanic Administration. Qingdao, 266003;2.Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao266003;3.Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao266003
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| Abstract: |
| The non-Gaussian theory of Sun Fu (1994), a statistical distribution of surface elevation, is extended here to obtain the joint distribution of anisotropy surface slopes for a weakly nonlinear model of random sea waves by applying the method of calculating directly each coupling moment. It is shown that in higher approximation of sea surface, the distribution can be giver by the truncated Gram-Charlier series. The types of wave-wave coupling interactions are connected with the order of approximation to nonlinearity of sea surface, which eventually defines the truncated term of the Gram-Charlier series. For each order of approximation, the coefficients in the series are modified comparatively to the corresponding ones foe the previous order approximation. The distribution reduces to Gaussin if the effect of nonlinear wave-wave coupling interaction is excluded. |
| Key words: Nonlinear statistical distribution, Wave surface slopes, Coupling moment |
