Wind-Wave Model with an Optimized Source Function amg

On the basis of the author's earlier results, a new source func­tion for a nume­rical wind-wave model opti­mized by the crit­erion of accu­racy and speed of calc­ulat­ion is subs­tant­iated. The prop­osed source func­tion incl­udes (a) an opti­mized version of the disc­rete inte­ract­ion appr­oxim­ation for para­metr­izat­ion of the nonl­inear evol­ution mech­anism, (b) a gene­rali­zed empi­rical form of the input term modi­fied by adding a special block of the dynamic boun­dary layer of the atmo­sph­ere, and (c) a diss­ipat­ion term quad­ratic in the wave spec­trum. Part­icu­lar atte­ntion is given to a theo­reti­cal subs­tant­iat­ion of the least inve­stig­ated diss­ipat­ion term. The adva­nta­ges of the prop­osed source func­tion are disc­ussed by its comp­ari­son to the anal­ogues used in the wide­spr­ead models of the third gene­rat­ion WAM and WAVE­WATCH. At the initial stage of asse­ssing the merits of the prop­osed model, the results of its testing by the system of acad­emic tests are pres­ented. In the course of testing, some prin­cip­als of this proc­edure are form­ula­ted. The poss­ibil­ity of using the testing results to study the physics of evol­ution proc­esses in wind waves is shown. It is noted that the spec­ially added block of the dynamic boun­dary layer of the atmo­sph­ere makes it poss­ible to give an exha­ust­ive desc­ript­ion of the air-sea-inte­rface's char­acte­rist­ics, which may be used to improve wave fore­cast­ing. This new mode­ling quality allows us to make a stat­ement about the cons­truc­tion of a model of the next (fourth) gene­rat­ion.