Crest-height distribution of nonlinear random waves |
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| Authors: | Cuilin Li Dingyong Yu Yangyang Gao Junxian Yang |
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| Institution: | 1. College of Engineering, Ocean University of China, Qingdao 266100, P. R. China
2. Institute of Oceanographic Instrumentation, Shandong Academy of Sciences, Qingdao 266001, P. R. China |
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| Abstract: | The wave crest is an important factor for the design of both fixed and floating marine structures. Wave crest height is a
dominant parameter in assessing the likelihood of wave-in-deck impact and resultant severe damage. Many empirical and theoretical
distribution functions for wave crest heights have been proposed, but there is a lack of agreement between them. It is of
significance to develop a better new nonlinear wave crest height distribution model. The progress in the research of wave
crest heights is reviewed in this paper. Based on Stokes’ wave theory, an approximate nonlinear wave crest-height distribution
formula with simple parameters is derived. Two sets of measured data are presented and compared with various theoretical distributions
of wave crests obtained from nonlinear wave models and analysis of the comparison is given in detail. The new crest-height
distribution model agrees well with observations. Also, the new theoretical distribution is more accurate than the other methods
cited in this paper and has a greater range of applications. |
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| Keywords: | nonlinear waves wave crest height probability density cumulative probability |
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