Statistical distribution of surface elevation for the fourth order nonlinear random sea waves |
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| Authors: | Changlong Guan Fu Sun |
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| Institution: | (1) Institute of Physical Oceanography, Ocean University of Qingdao, 266003 Qingdao, China;(2) Physical Oceanography Laboratory, Ocean University of Qingdao, 266003 Qingdao, China |
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| Abstract: | Based upon the nonlinear model of random sea waves, the statistical distribution of wave surface elevation exact to the fourth
order is derived as the truncated Gram-Charlier series,by calculating directly each order moment. The phenomenon found by Huanget al. that the agreement between observed data and investigated series deteriorates much more when the series is kept to λ8 is explained. The effect of the approximation order on the truncation of series and the determination of coefficients is
investigated. For themth order approximation, the derived series is truncated atH
3m-3 with the absence of H3m-4, and the coefficients ofH
3m-3 andH
3m-6 are connected by a simple algebraic relation.
Project supported by the National Natural Science Foundation of China. |
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| Keywords: | nonlinearity fourth order approximation statistical distribution sea-wave surface |
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