Outer wave number spectrum and statistical distribution of apparent wave number vector |
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Authors: | J -B Song K -J Wu Y -H Wu |
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Institution: | a Institute of Oceanology, Chinese Academy of Sciences, Nanhai road 7, Qingdao, People's Republic of China 266071;b Institute of Physical Oceanography, Ocean University of Qingdao, Yushan Road 5, Qingdao, People's Republic of China 266003;c School of Mathematics and Statistics, Curtin University of Technology, GPO Box U 1987, Perth, Australia 6845 |
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Abstract: | Based on the ray theory and Longuet-Higgins’s linear model of sea waves, the joint distribution of wave envelope and apparent wave number vector is established. From the joint distribution, we define a new concept, namely the outer wave number spectrum, to describe the outer characteristics of ocean waves. The analytical form of the outer wave number spectrum, the probability distributions of the apparent wave number vector and its components are then derived. The outer wave number spectrum is compared with the inner wave number spectrum for the average status of wind-wave development corresponding to a peakness factor P = 3. Discussions on the similarity and difference between the outer wave number spectrum and inner one are also presented in the paper. |
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Keywords: | Apparent wave number vector Outer wave number spectrum |
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