首页|A maximum entropy distribution for wave heights of non-linear sea waves
A maximum entropy distribution for wave heights of non-linear sea waves
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NETL
NSTL
Based on the maximum entropy principle, a probability density function (PDF) for the zero-crossing wave height (H) of random waves is derived as the simple form f_n(H) ＝ αH~γe~(-βH~n) (n is a selectable positive integer) through solving a variational problem subject to some quite general constraints. This PDF maximizes the information entropy of H, and its parameters α, γ and β are expressed explicitly in terms of the distribution moments H~m, m = 1, 2,…, n, so it is well competent for describing the distribution of H of nonlinear sea waves with large uncertainty, and its parameters can be simply determined from available data. Comparisons between the PDF with n = 3 and n = 4 and the observed distributions of H from wave records measured in the East China Sea and in a wind-wave tunnel show fairly satisfying agreements.
sea wavesthe maximum entropy principleprobability density function
NETL
NSTL
