The two-scale approximation (TSA) method is designed to overcome the time consuming, expensive problem of computing the full Boltzmann integral (FBI). The accuracy of TSA depends mainly on the accuracy of the spectral representation of the broad-scale component, which is the dominant component of quadruplet nonlinear wave-wave interactions. In this study, an improved JONSWAP spectrum is applied as the broad scale parametric spectral form; it is evaluated by fitting it to realistic hurricane generated wave spectra, and used to determine spectral parameters (peak-enhancement factor, energy scale parameter, peak frequency). Finally, the effect of the spectral parameters on quadruplet nonlinear wave-wave interactions is analyzed.

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