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Numerical Analysis and Applications

2020 year, number 1

Convergence of numerical spectral models of the sea surface undulation

K.V. Litvenko1, S.M. Prigarin1,2
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russia
2Novosibirsk State University, Novosibirsk, Russia
Keywords: simulation of random fields, spectral models, convergence, sea surface simulation, extreme ocean waves, rogue waves

Abstract

This paper deals with the convergence of spectral and conditional spectral models that are used to simulate a stochastic structure of the sea surface undulation and rogue ocean waves. We study the convergence of spatial-temporal and spatial models.