Nonlinear energy transfers due to four wave interactions was first described by the Boltzmann integral of Hasselmann [6] and remains a key topic in the numerical wave models. We present a detailed description of a quadrature based numerical method for accurate estimation of the nonlinear energy transfer rates in deep waters with results presented for an input PM spectrum. This method employs different polar grids for input wave vectors and uses scaling relation for the transfer integral to achieve computational efficiency. A comparison study indicates that the present method gives better accuracy than the quadrature method [12]. The method is a new addition to the existing methods available in deep waters, and requires further investigation.

deep waters, Gauss Legendre quadrature method, spectrum, quadruplets.