The choice of optimal Discrete Interaction Approximation to thekinetic integral for ocean waves amg

A lot of disc­rete conf­igur­ati­ons for the four-wave nonl­inear inte­ract­ion proc­esses have been calc­ula­ted and tested by the method prop­osed earlier in the frame of the concept of Fast Disc­rete Inte­ract­ion Appr­oxim­ation to the Hass­elm­ann's kinetic inte­gral (Poln­ikov and Farina, 2002). It was found that there are several simple conf­igur­ati­ons, which are more effi­cient than the one prop­osed orig­ina­lly in Hass­elm­ann et al. (1985). Finally, the optimal mult­iple Disc­rete Inte­ract­ion Appr­oxim­ation (DIA) to the kinetic inte­gral for deep-water waves was found. Wave spec­trum feat­ures have been inte­rcom­pared for a number of diff­erent conf­igur­ati­ons of DIA, applied to a long-time solu­tion of kinetic equa­tion. On the basis of this inte­rcom­pari­son the better effi­cie­ncy of the conf­igur­ati­ons prop­osed was conf­irmed. Certain reco­mmen­dati­ons were given for impl­emen­tat­ion of new appr­oxim­ati­ons to the wave fore­cast prac­tice