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| 高阶非线性海浪波面斜率的联合概率统计分布 | |
| 引用本文： | 张书文,孙孚,管长龙.高阶非线性海浪波面斜率的联合概率统计分布[J].海洋与湖沼,2000,31(1):67-70. |
| 作者姓名： | 张书文 孙孚 管长龙 |
| 作者单位： | 1. 国家海洋局第一海洋研究所,青岛,266003 2. 青岛海洋大学物理海洋实验室,青岛,266003 3. 青岛海洋大学物理海洋研究所,青岛,266003 |
| 基金项目： | 国家自然科学基金资助!49676274，海洋环境科学与数值模拟重点实验室资助 |
| 摘 要： | 基于非线笥随机海洋模型，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Ｃｒａｍ－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 海浪 联合概率 |
| 收稿时间： | 1997/12/28 0:00:00 |
| 修稿时间： | 1998/10/22 0:00:00 |
JOINT STATISTICAL DISTRIBUTION OF SURFACE SLOPES FOR THE HIGHER ORDER NONLINEAR RANDOM SEA WAVES |
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| ZHANG Shu-wen,Sun Fu and Guan Chang-long.JOINT STATISTICAL DISTRIBUTION OF SURFACE SLOPES FOR THE HIGHER ORDER NONLINEAR RANDOM SEA WAVES[J].Oceanologia Et Limnologia Sinica,2000,31(1):67-70. | |
| Authors: | ZHANG Shu-wen Sun Fu and Guan Chang-long |
| Institution: | First Institute of Oceanography, State Oceanic Administration. Qingdao, 266003;Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao266003;Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao266003 |
| Abstract: | The non-Gaussian theory of Sun Fu(1994), a statistical distribution of surface elevation, is extended here to obtain the joint distribution of edsotropy 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 given by the truncated Gram-Charlier series. The types of wave-wave coupling interactions are connected with the other of approximation to nonlinearity of sea surface, which eventually defines the truncated term of the Gram-Charlier series. For each other of approximation, the coefficients in the series are modified comparatively to the corresponding ones for the previous other approximation. The distribution reduces to Gaussin if the effect of nonlinear wave-wave coupling interation is excluded. |
| Keywords: | Nonlinear statishcal distribution Wave surface slopes Couping moment Subject classification number P731 22 |
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