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Numerical Analysis and Applications

2014 year, number 4

Numerical stochastic models of the sea surface undulation and extreme ocean waves

K. V. Litvenko1,2, S. M. Prigarin1,2
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Lavrentieva, 6, Novosibirsk, Russia, 630090
2Novosibirsk State University, Pirogova 2, Novosibirsk, Russia, 630090
Keywords: simulation of random fields, conditional spectral models, time series, sea surface undulation, extreme ocean waves (freak-waves, rogue waves)

Abstract

The paper deals with simulation of the time-space stochastic structure of the sea surface undulation and extreme ocean waves. Numerical algorithms are constructed on the basis of conditional spectral models and models of time series adapting data of observations. Estimates for frequencies of extreme waves appearance are studied on the basis of the theory of random processes and fields.