This paper presents the method for the digital simulation of the second-order nonlinear random waves including strongly nonlinear shallow water waves and near breaking waves, which can be considered to be non-Gaussian random process. The method generates time series of the second order nonlinear random waves from the given energy spectrum and bispectrum obtained from the wave records. Numerical examples indicate that the procedure is basically worked well and generated time series of waves having the similar target spectral density function and probability distribution function. The proposed method has a wide range of applicability to problems involving the second-order nonlinear systems where outputs have strongly nonlinear and non-Gaussian characteristics.
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