Statistical Distribution of Surface Slope in A 3-D Ocean Wave Field

作     者：徐德伦 刘学海 张军 

作者机构：Physical Oceanography Laboratory Ocean University of Qingdao Qingdao 266003 China First Institute of Oceanography State Oceanic Administration Qingdao 266003 China 

出 版 物：《China Ocean Engineering》 (中国海洋工程（英文版）)

年 卷 期：2000年第15卷第3期

页      面：289-296页

核心收录：

学科分类：0710[理学-生物学] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 0908[农学-水产] 08[工学] 080103[工学-流体力学] 0707[理学-海洋科学] 0807[工学-动力工程及工程热物理] 0815[工学-水利工程] 0824[工学-船舶与海洋工程] 0802[工学-机械工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：This work is financially supported by the National Natural Science Foundation of China(No.49676277) 863-818 Project(05-02) 

主　　题：probability density function surface slope three-dimensional waves linear theory 

摘      要：A joint probability density function (PDF) for surface slopes in two arbitrary directions is derived on the basis of Longuet Higgins s linear model for three-dimensionol (3-D) random wave field. and the correlation moments of surface slopes. as parameters in the PDF, are expressed in terms of directional spectrum of ocean waves. So long as the directional spectrum model is given, these parameters are determined. Since the directional spectrum models proposed so far are mostly parameterized by the wind speed and fetch, this allows for substituting these parameters with thc wind speed and fetch. As an example, the wind speed and fetch are taken to be 14 m s and 200 km, and the Hasselmann and Donclan directional spectra are, respectively, use to compute these parameters. Some novel results a reobtained. One of the increasing interesting results is that the variances of surface slope in downwind and cross-wind directions determined by the Donclan directional spectra are close to those measured by Cox and Munk (1954). Some discussions are made on these results.