TY - JOUR
T1 - Limited fetch revisited
T2 - Comparison of wind input terms, in surface wave modeling
AU - Pushkarev, Andrei
AU - Zakharov, Vladimir
N1 - Funding Information:
The research presented in Sections 2 and 3 has been accomplished due to support of the grant “Wave turbulence: the theory, mathematical modeling and experiment” of the Russian Science Foundation no 14-22-00174 . The research presented in other chapters was supported by ONR grant N00014-10-1-0991 . The authors gratefully acknowledge the support of these foundations.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - Results pertaining to numerical solutions of the Hasselmann kinetic equation (HE), for wind driven sea spectra, in the fetch limited geometry, are presented. Five versions of source functions, including the recently introduced ZRP model (Zakharov et al., 2012), have been studied, for the exact expression of Snl and high-frequency implicit dissipation, due to wave-breaking. Four of the five experiments were done in the absence of spectral peak dissipation for various Sin terms. They demonstrated the dominance of quadruplet wave-wave interaction, in the energy balance, and the formation of self-similar regimes, of unlimited wave energy growth, along the fetch. Between them was the ZRP model, which strongly agreed with dozens of field observations performed in the seas and lakes, since 1947. The fifth, the WAM3 wind input term experiment, used additional spectral peak dissipation and reproduced the results of a previous, similar, numerical simulation described in Komen et al. (1994), but only supported the field experiments for moderate fetches, demonstrating a total energy saturation at half of that of the Pierson-Moscowits limit. The alternative framework for HE numerical simulation is proposed, along with a set of tests, allowing one to select physically-justified source terms.
AB - Results pertaining to numerical solutions of the Hasselmann kinetic equation (HE), for wind driven sea spectra, in the fetch limited geometry, are presented. Five versions of source functions, including the recently introduced ZRP model (Zakharov et al., 2012), have been studied, for the exact expression of Snl and high-frequency implicit dissipation, due to wave-breaking. Four of the five experiments were done in the absence of spectral peak dissipation for various Sin terms. They demonstrated the dominance of quadruplet wave-wave interaction, in the energy balance, and the formation of self-similar regimes, of unlimited wave energy growth, along the fetch. Between them was the ZRP model, which strongly agreed with dozens of field observations performed in the seas and lakes, since 1947. The fifth, the WAM3 wind input term experiment, used additional spectral peak dissipation and reproduced the results of a previous, similar, numerical simulation described in Komen et al. (1994), but only supported the field experiments for moderate fetches, demonstrating a total energy saturation at half of that of the Pierson-Moscowits limit. The alternative framework for HE numerical simulation is proposed, along with a set of tests, allowing one to select physically-justified source terms.
KW - Hasselmann equation
KW - Kolmogorov-Zakharov spectra
KW - Nonlinear interaction
KW - Self-similar solutions
KW - Wave-breaking dissipation
KW - Wind-wave interaction
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U2 - 10.1016/j.ocemod.2016.03.005
DO - 10.1016/j.ocemod.2016.03.005
M3 - Article
AN - SCOPUS:84964355259
VL - 103
SP - 18
EP - 37
JO - Ocean Modelling
JF - Ocean Modelling
SN - 1463-5003
ER -