深水波列频率下移模型的比较
A Comparison of Frequency Downshift Models of Wave Trains on Deep Water
摘要：
当频率的测量值（通常是谱峰或谱平均值）随着波浪沿着水槽或穿过海洋而减小时，深水上的波列中的频率下移（FD）发生。许多FD模型依赖于风或波浪破碎。我们考虑了七个不包括这些效应的模型，并将它们的预测与四组也不包括这些效应的实验进行了比较。这些模型是：（i）非线性薛定谔方程（NLS），（ii）耗散NLS方程（dNLS），（iii）Dysthe方程，（iv）粘性Dysthe方程（vDysthe），（v）Gordon方程（Gordon）（具有自由参数），（vi）Islas-Schober方程（IS）（具有自由参数），（vii）一个新的模型，耗散Gramstad-Trulsen（dGT）方程。dGT方程没有自由参数，并解决了与Dysthe和vDysthe方程相关的一些困难。我们比较的整体误差和频谱振幅，平均值和峰值的演变的措施。我们发现：（1）NLS和Dysthe方程不能准确地预测测量的光谱振幅。(ii)戈登方程，这是一个成功的模型FD在光学，不准确的模型FD在水波，无论自由参数的选择。(iii)dNLS、vDysthe、dGT和IS（具有优化的自由参数）模型都能合理地预测测量的光谱振幅，但没有一个模型能捕获所有的光谱演变。(iv)vDysthe、dGT和IS（具有优化的自由参数）模型在预测光谱峰值和光谱平均值的观测演变方面做得最好。(v)IS模型，优化其自由参数，具有最小的总体误差为三个四个实验。vDysthe方程在另一个实验中具有最小的总体误差。
英文摘要：
Frequency downshift (FD) in wave trains on deep water occurs when a measure of the frequency, typically the spectral peak or the spectral mean, decreases as the waves travel down a tank or across the ocean. Many FD models rely on wind or wave breaking. We consider seven models that do not include these effects and compare their predictions with four sets of experiments that also do not include these effects. The models are the (i) nonlinear Schrödinger equation (NLS), (ii) dissipative NLS equation (dNLS), (iii) Dysthe equation, (iv) viscous Dysthe equation (vDysthe), (v) Gordon equation (Gordon) (which has a free parameter), (vi) Islas-Schober equation (IS) (which has a free parameter), and (vii) a new model, the dissipative Gramstad-Trulsen (dGT) equation. The dGT equation has no free parameters and addresses some of the difficulties associated with the Dysthe and vDysthe equations. We compare a measure of overall error and the evolution of the spectral amplitudes, mean, and peak. We find: (i) The NLS and Dysthe equations do not accurately predict the measured spectral amplitudes. (ii) The Gordon equation, which is a successful model of FD in optics, does not accurately model FD in water waves, regardless of the choice of free parameter. (iii) The dNLS, vDysthe, dGT, and IS (with optimized free parameter) models all do a reasonable job predicting the measured spectral amplitudes, but none captures all spectral evolutions. (iv) The vDysthe, dGT, and IS (with optimized free parameter) models do the best at predicting the observed evolution of the spectral peak and the spectral mean. (v) The IS model, optimized over its free parameter, has the smallest overall error for three of the four experiments. The vDysthe equation has the smallest overall error in the other experiment.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
