Kinetic equations in a third-generation spectral wave model
Qingxiang Liu, Odin Gramstad, Alexander Babanin
JOURNAL OF FLUID MECHANICS | CAMBRIDGE UNIV PRESS | Published : 2021
The Hasselmann kinetic equation (HKE) forms the cornerstone of present-day spectral wave models. It describes the redistribution of energy over the wave spectrum as a result of resonant four-wave interactions, and theoretically prescribes wave evolution on a slow time scale, where and are typical wave steepness and frequency. Alternatives to the HKE (e.g. the generalized kinetic equation (GKE)), including the effects of non-resonant four-wave interactions, are believed capable of evolving wave fields on a fast time scale. It is beyond doubt that these alternatives could reasonably predict changes of unidirectional waves whereas the HKE cannot. For angular spread wave fields, however, it is s..View full abstract
Awarded by DISI Australia-China Centre
Awarded by US Office of Naval Research Grant
Q.L. acknowledges the support from the DISI Australia-China Centre through Grant ACSRF48199. A.V.B. appreciates the financial support from the US Office of Naval Research Grant N00014-17-1-3021-A00001.