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The generalized kinetic equation as a model for the nonlinear transfer in third-generation wave models

机译：广义动力学方程作为第三代波动模型非线性传递的模型

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摘要

An alternative model for the nonlinear interaction term S (n l) in spectral wave models, the so called generalized kinetic equation (Janssen J Phys Oceanogr 33(4):863-884, 2003; Annenkov and Shrira J Fluid Mech 561:181-207, 2006b; Gramstad and Stiassnie J Fluid Mech 718:280-303, 2013), 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 (n l) which are based on the standard Hasselmann kinetic equation (Hasselmann J Fluid Mech 12:481-500, 1962). Numerical simulations with WAVEWATCH have been carried out to thoroughly test the performance of the new form of S (n l) , and to compare it to the existing models for S (n l) in WAVEWATCH; the DIA and WRT. Some differences between the different models for S (n l) 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 (n l) (Gramstad and Stiassnie 2013), the differences seems to be less pronounced for the more realistic cases considered in this paper.
机译：光谱波模型中非线性相互作用项S（nl）的替代模型，即所谓的广义动力学方程（Janssen J Phys Oceanogr 33（4）：863-884，2003; Annenkov和Shrira J Fluid Mech 561：181-207 ，2006b； Gramstad和Stiassnienie J Fluid Mech 718：280-303，2013），在第三代波浪模型WAVEWATCH-III中进行了讨论和实现。广义动力学方程包括近共振非线性相互作用的影响，因此在理论上能够描述比基于标准Hasselmann动力学方程的现有形式S（nl）更快的非线性演化（Hasselmann J Fluid Mech 12：481-500，1962）。使用WAVEWATCH进行了数值模拟，以彻底测试新形式S（n l）的性能，并将其与WAVEWATCH中S（n l）的现有模型进行比较； DIA和WRT。观察到不同模型的S（n l）之间存在一些差异。不出所料，在某些情况下，特别是对于窄波谱，DIA与精确项相比表现较差。同样，在转弯风的情况下，可以看到不同模型之间的显着差异。然而，与单向波的情况不同，在后者中，广义动力学方程对S（nl）的标准形式进行了明显改善（Gramstad和Stiassnie，2013年），对于本文考虑的更实际的情况，差异似乎不那么明显。 。

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