Simulación de alturas sucesivas de olas con correlación no-nula distribuidas según la ley de Rayleigh
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Abstract
The successive wave heights are modelled with a first order autoregressive process with a nonzero first lag autocorrelation. Using an algorithm which preserves the mean, standard deviation and skewness coefficient, the wave heights are generated with a Rayleigh probability density distribution law. The results of this simulation show excellent agreement with the theoretical distribution. An application of simulated results on a run of waves statistics is shown, and again, these results compare favourably with observational data.
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References
ARHAN, M., and R. EZRATI, 1978. "Statistical Relations between Successive Wave Heights" Oceanol. Acta, Vol. 1, No. 2, pp. 151-158.
GODA, V., 1970. "Numerical Experiments on Wave Statistics with Spectral Simulation" Report of the Port and Harbour Research Institute, Vol. 9, No. 3, Japan.
LONGUET-HIGGINS, M. C., 1952. "On the Statistical Distribution of the Heights of Sea Waves" Journal of Marine Research, Vol. XI, No. 3, pp. 245-265.
MATALAS, N. C., 1967. "Mathematical Assessment of Synthetic Hydrology" Water Resources Research, Vol. 3, No. 4, pp. 937-945. DOI: https://doi.org/10.1029/WR003i004p00937
RICE, S. O., 1945. "Mathematical Analysis of Random Noise" Bell System Tech. Journal 24, pp. 46-156. DOI: https://doi.org/10.1002/j.1538-7305.1945.tb00453.x
SIEFERT, W., 1976. "Consecutive High Waves in Coastal Waters". Proc. of 15th Coastal Eng. Conference, Vol. I, Chapter 11, pp. 171-182. DOI: https://doi.org/10.1061/9780872620834.011
