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A fully quadrature method for the nonlinear four-wave interactions
M. Kamalakannan,
Published in Academic Press
Volume: 109
Issue: 5
Pages: 67 - 74
A new attempt is made to compute the nonlinear four wave interactions in the discrete spectral wave model represented by the 6-D Boltzmann integral using fully Gauss-Legendre quadrature method. An advantage of this method is that the singularities of the integral are naturally avoided. The method can be used to obtain accurate results for the nonlinear energy transfer rate. In this paper, the evaluation of the transfer integral based on the locus parameters arc length (s) and direction (θ) are considered separately using Gauss-Legendre quadrature method. Results obtained using this method for the deep water nonlinear energy transfer rate corresponding to the input standard JONSWAP wave spectra with angular distributions in the cases 2-6 of Hasselmann and Hasselmann [2] [hereafter referred as HH]are presented. A comparison study of the present 1-D nonlinear results indicate good agreement with the corresponding results of the exact WRT method [9]. © 2016 Academic Publications, Ltd.
About the journal
JournalInternational Journal of Pure and Applied Mathematics
PublisherAcademic Press