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Application of Maximum Entropy Principle to Studying the Distribution of Wave Heights in A Random Wave Field 被引量:6

Application of Maximum Entropy Principle to Studying the Distribution of Wave Heights in A Random Wave Field
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摘要 Based on the maximum entropy principle, a probability density function (PDF) is derived for the distribution of wave heights in a random wave field, without any more hypothesis. The present PDF, being a non-Rayleigh form, involves two parameters: the average wave height H— and the state parameter γ. The role of γ in the distribution of wave heights is examined. It is found that γ may be a certain measure of sea state. A least square method for determining γ from measured data is proposed. In virtue of the method, the values of γ are determined for three sea states from the data measured in the East China Sea. The present PDF is compared with the well known Rayleigh PDF of wave height and it is shown that it much better fits the data than the Rayleigh PDF. It is expected that the present PDF would fit some other wave variables, since its derivation is not restricted only to the wave height. Based on the maximum entropy principle, a probability density function (PDF) is derived for the distribution of wave heights in a random wave field, without any more hypothesis. The present PDF, being a non-Rayleigh form, involves two parameters: the average wave height H— and the state parameter γ. The role of γ in the distribution of wave heights is examined. It is found that γ may be a certain measure of sea state. A least square method for determining γ from measured data is proposed. In virtue of the method, the values of γ are determined for three sea states from the data measured in the East China Sea. The present PDF is compared with the well known Rayleigh PDF of wave height and it is shown that it much better fits the data than the Rayleigh PDF. It is expected that the present PDF would fit some other wave variables, since its derivation is not restricted only to the wave height.
出处 《海洋工程:英文版》 EI 2004年第1期69-78,共10页 China Ocean Engineering
基金 Thisworkwassupportedby 86 3project-HighFrequencyGroundWaveRadar (No .86 3 818 0 1 0 2 )
关键词 information entropy wave heights maximum entropy probability density function Rayleigh distribution information entropy wave heights maximum entropy probability density function Rayleigh distribution
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