太平洋涌浪传播的耗散模式
Dissipative models of swell propagation across the Pacific
摘要：
海洋涌浪在能量的跨洋传输中起着重要的作用，但它的演变仍然没有得到很好的理解。在20世纪60年代后期，非线性薛定谔（NLS）方程被推导出来作为海洋涌浪在大距离上传播的模型。最近，基于一个简单的耗散假设的NLS方程的一些耗散的推广已经提出。这些模型已被证明可以在实验室环境中准确地模拟波浪的演变，但它们在模拟海洋涌浪方面的有效性以前没有被研究过。我们研究的NLS方程和它的四个概括在模拟海洋中的涌浪演变的功效。耗散概括执行显着优于保守的模式，是整体合理的模型涌浪振幅，表明耗散是一个重要的物理效应，在海洋涌浪的演变。非线性模型并没有超过其线性化，表明线性模型可能足以模拟海洋涌浪演变。
英文摘要：
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.
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