A new probability distribution of non-linear wave periods

ZHANG Jun; SONG Wen-peng; GE Yong

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ZHANG Jun, SONG Wen-peng, GE Yong. A new probability distribution of non-linear wave periods[J]. Haiyang Xuebao, 2011, 33(1): 12-16.

Citation:

ZHANG Jun, SONG Wen-peng, GE Yong. A new probability distribution of non-linear wave periods[J]. Haiyang Xuebao, 2011, 33(1): 12-16.

ZHANG Jun, SONG Wen-peng, GE Yong. A new probability distribution of non-linear wave periods[J]. Haiyang Xuebao, 2011, 33(1): 12-16.

Citation:

ZHANG Jun, SONG Wen-peng, GE Yong. A new probability distribution of non-linear wave periods[J]. Haiyang Xuebao, 2011, 33(1): 12-16.

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A new probability distribution of non-linear wave periods

1.
Third Institute of Oceanography, State Oceanic Administration, Xiamen 361005, China
2.
Key Laboratory of Marine Spill Oil Identification and Damage Assessment Technology, State Oceanic Administration, Qindao 266033, China; North China Sea Environmental Monitoring Center, State Oceanic Administration, Qindao 266033, China

Received Date: 2010-03-05

Abstract

Abstract

Based on the maximum entropy principle, a probability density function (PDF) for the periods of random waves is derived through solving a variational problem subject to some quite general constraints. The main points of the method are as follows: (1) the parameters in the function are expressed m-th distribution moments (m is positive number).This PDF maximizes the information entropy of T , so it is well competent for describing the distribution of T of nonlinear sea waves with large uncertainty; (2) this PDF have four parameters , so it is well competent for the maximum entropy principle; (3) its parameters can be simply determined from available data. Comparisons between the PDF and the observed distributions of periods data made from wave records measured in a wind-wave tunnel show well satisfying agreements and is more favorable than the Longuet-Higgins PDF.
- non-linear wave,
- the maximum entropy principle,
- periods

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References(10)

References

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