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- Title
The generalized kinetic equation as a model for the nonlinear transfer in third-generation wave models.
- Authors
Gramstad, Odin; Babanin, Alexander
- Abstract
An alternative model for the nonlinear interaction term S in spectral wave models, the so called generalized kinetic equation (Janssen J Phys Oceanogr 33(4):863-884, ; Annenkov and Shrira J Fluid Mech 561:181-207, ; Gramstad and Stiassnie J Fluid Mech 718:280-303, ), is discussed and implemented in the third generation wave model WAVEWATCH-III. The generalized kinetic equation includes the effects of near-resonant nonlinear interactions, and is therefore able, in theory, to describe faster nonlinear evolution than the existing forms of S which are based on the standard Hasselmann kinetic equation (Hasselmann J Fluid Mech 12:481-500, ). Numerical simulations with WAVEWATCH have been carried out to thoroughly test the performance of the new form of S, and to compare it to the existing models for S in WAVEWATCH; the DIA and WRT. Some differences between the different models for S are observed. As expected, the DIA is shown to perform less well compared to the exact terms in certain situations, in particular for narrow wave spectra. Also for the case of turning wind significant differences between the different models are observed. Nevertheless, different from the case of unidirectional waves where the generalized kinetic equation represents a obvious improvement to the standard forms of S (Gramstad and Stiassnie ), the differences seems to be less pronounced for the more realistic cases considered in this paper.
- Subjects
OCEAN waves; NONLINEAR waves; MOLECULAR dynamics; NONLINEAR analysis; COMPUTER simulation; SPECTRUM analysis
- Publication
Ocean Dynamics, 2016, Vol 66, Issue 4, p509
- ISSN
1616-7341
- Publication type
Article
- DOI
10.1007/s10236-016-0940-4