Note on the generation of long gravity waves by breaking and shoaling of short-wave groups in gently-sloping beaches: the long-wave similarity parameter

Abstract

It is proposed a long-wave similarity parameter based on the surf-beat similarity and Ursell parameters. By including the Ursell number, the long-wave similarity allows distinguishing between breaking and shoaling generation of long-waves for conditions rendering similar values of surf-beat similarity. The proposed parameter is tested with three cases of wave conditions published in the literature, with promising results.