Full Boltzmann Discrete Spectral Wave Model, Implementation and Nondimensional Tests
2007
Resio, Donald T.
A full Boltzmann integration scheme is implemented within a functioning discrete spectral wave model. Preliminary testing (academic) is presented and compared to alternate solution methods. It is found that third- generation models depend on a detailed balance among source terms, and it is important that these source terms be specified accurately. In the present state of the art information on all of the source terms does not appear to be sufficient to permit definitive estimates of all source terms in the detailed balance evaluations. Older means of estimating the nonlinear wave-wave interaction (Sn1) are much less accurate than the full Boltzmann method. Even the Discrete Interaction Approximation (WAMDIG 1988) representation for Sn1, used in the only documented third-generation wave model (WAM), is shown incapable of providing an accurate estimate of Snl. The full Boltzmann model should provide an improved method to investigate several important wave generation and decay situations. The WAM source terms are inconsistent with observed wave-growth laws and equilibrium-range behavior from the Joint North Sea Wave Project (Hasselmann et al. 1973). New source terms postulated in this report provide a very good match to the JONSWAP wave growth rates and equilibrium-range behavior. The present version of the full Boltzmann model should be regarded as a research tool. It is a very new model and, as such, will need to undergo considerable additional testing over several years before it could be considered as a viable option for an operational model.
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