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Group of Marine Environment > 1.2 Probabilistic Models of Wave Parameters > Publications
Cherneva, Z., Guedes Soares, C. and Petrova, P.G. (2011)
, “Distribution of Wave Height Maxima in Storm Sea States”, Journal of offshore Mechanics and Arctic Engineering, Vol. 133, pp. 041601-1
The effect of the coefficient of kurtosis as a measure of the nonlinearity of
third order on the distribution of the wave height maxima has been investigated.
Measurements of the surface elevation during a storm at the North Alwyn platform
in the North Sea have been used. A mean number of waves in the series is nearly
100 waves. The maximum wave statistics have been compared with nonlinear
theoretical distributions. It was found that the empirical probability densities
of the maximum wave heights describe qualitatively the shift of the distribution
mode towards higher values. The tendency for the peak of distribution to
diminish with increase of the coefficient of kurtosis up to 0.6 is also clearly
seen. However, the empirical peak remains higher than the theoretically
predicted one. Exceedance probability of the maximum wave heights was also
estimated from the data and was compared with the theory. For the highest
coefficients of kurtosis nearly 0.6 the theoretical distribution very well
approximates the empirical data. For lower coefficients of kurtosis the theory
tends to overestimate the exceedance probability of the maximum wave heights.
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