TY - GEN
T1 - On the tuning-free statistical model of ocean surface waves
AU - Zakharov, Vladimir
AU - Resio, Donald
AU - Pushkarev, Andrei
N1 - Funding Information:
The research presented in the section 1 was funded by the program of the presidium of RAS ”Nonlinear dynamics: fundamental problems and applications”. The research set forth in the other sections has been accomplished due to the support of the grant Wave turbulence: the theory, mathematical modeling and experiment of the Russian Scientific Foundation No 14-22-00174. The authors gratefully acknowledge the support of these foundations.
Publisher Copyright:
© 2018 ASME.
PY - 2018
Y1 - 2018
N2 - Absence of mathematically justified criteria during development of the wind energy input and wave breaking energy dissipation source terms in Hasselmann equation (HE), used as the framework of modern operational wave forecasting models, lead to creation of plethora of parameterizations, having enormous scatter, disconnected from the physical background and obeying dozens of tuning parameters to adjust the HE model to the specific situation. We show that it's possible, based on analytical analysis and experimental observation data, to create the new set of source terms, reproducing experimental observations with minimal number of tuning parameters. We also numerically analyze six historically developed and new wind input source terms for their ability to hold specific invariants, related to HE selfsimilar nature. The degree of preservation of those invariants could be used as their selection tool. We hope that this research is the step toward the creation of physically justified tuning-free operational models.
AB - Absence of mathematically justified criteria during development of the wind energy input and wave breaking energy dissipation source terms in Hasselmann equation (HE), used as the framework of modern operational wave forecasting models, lead to creation of plethora of parameterizations, having enormous scatter, disconnected from the physical background and obeying dozens of tuning parameters to adjust the HE model to the specific situation. We show that it's possible, based on analytical analysis and experimental observation data, to create the new set of source terms, reproducing experimental observations with minimal number of tuning parameters. We also numerically analyze six historically developed and new wind input source terms for their ability to hold specific invariants, related to HE selfsimilar nature. The degree of preservation of those invariants could be used as their selection tool. We hope that this research is the step toward the creation of physically justified tuning-free operational models.
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U2 - 10.1115/OMAE2018-78417
DO - 10.1115/OMAE2018-78417
M3 - Conference contribution
AN - SCOPUS:85055535956
T3 - Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE
BT - Structures, Safety, and Reliability
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2018
Y2 - 17 June 2018 through 22 June 2018
ER -