论文标题
太平洋膨胀传播的耗散模型
Dissipative models of swell propagation across the Pacific
论文作者
论文摘要
海洋隆起在跨海的能源运输中起着重要作用，但其进化仍未得到充分了解。在1960年代后期，非线性schr {Ö} dinger（nls）方程是作为在大距离内传播海洋膨胀的模型。最近，已经提出了基于简单耗散假设的NLS方程的许多耗散概括。这些模型已被证明可以准确地模拟实验室环境中的波浪演化，但是它们在对海洋膨胀进行建模的有效性之前尚未进行检查。我们研究了NLS方程的功效及其四个在对海洋中膨胀的演变建模中的概括。耗散性概括的性能明显优于保守模型，并且是膨胀幅度的总体合理模型，这表明耗散是海洋隆起进化的重要物理作用。非线性模型的表现不超过其线性化，这表明线性模型可能足以建模海洋膨胀进化。
Ocean swell plays an important role in the transport of energy across the ocean, yet its evolution is still not well understood. In the late 1960s, the nonlinear Schr{ö}dinger (NLS) equation was derived as a model for the propagation of ocean swell over large distances. More recently, a number of dissipative generalizations of the NLS equation based on a simple dissipation assumption have been proposed. These models have been shown to accurately model wave evolution in the laboratory setting, but their validity in modeling ocean swell has not previously been examined. We study the efficacy of the NLS equation and four of its generalizations in modeling the evolution of swell in the ocean. The dissipative generalizations perform significantly better than conservative models and are overall reasonable models for swell amplitudes, indicating dissipation is an important physical effect in ocean swell evolution. The nonlinear models did not out-perform their linearizations, indicating linear models may be sufficient in modeling ocean swell evolution.
