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首页> 外文期刊>Journal of Physical Oceanography >Another Note on Rossby Wave Energy Flux
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Another Note on Rossby Wave Energy Flux

机译：关于rossby波能量通量的另一个注记

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Longuet-Higgins in 1964 first pointed out that the Rossby wave energy flux as defined by the pressure work is not the same as that defined by the group velocity. The two definitions provide answers that differ by a nondivergent vector. Longuet-Higgins suggested that the problem arose from ambiguity in the definition of energy flux, which only impacts the energy equation through its divergence. Numerous authors have addressed this issue from various perspectives, and we offer one more approach that we feel is more succinct than previous ones, both mathematically and conceptually. We follow the work described by Cai and Huang in 2013 in concluding that there is no need to invoke the ambiguity offered by Longuet-Higgins. By working directly from the shallow-water equations (as opposed to the more involved quasigeostrophic treatment of Cai and Huang), we provide a concise derivation of the nondivergent pressure work and demonstrate that the two energy flux definitions are equivalent when only the divergent part of the pressure work is considered. The difference vector comes from the nondivergent part of the geostrophic pressure work, and the familiar westward component of the Rossby wave group velocity comes from the divergent part of the geostrophic pressure work. In a broadband wave field, the expression for energy flux in terms of a single group velocity is no longer meaningful, but the expression for energy flux in terms of the divergent pressure work is still valid.
机译：Longuet-Higgins于1964年首先指出，由压力工作所定义的Rossby波能量通量与由组速度定义的罗斯比波能量通量不同。这两种定义提供了不引用的传染媒介不同的答案。 Longuet-Higgins建议问题从能量通量定义中的模糊性产生，这只通过其发散影响能量方程。众多作者从各种角度讨论了这个问题，我们提供了一种更多的方法，即在数学上和概念上，我们感到比以前的方式更加简洁。我们遵循2013年蔡和黄的工作总结，无需援引Longuet-Higgins提供的歧义。通过直接从浅水方程式工作（与蔡和黄的较涉及的Quasigeokicic治疗相反），我们提供了一种简洁的推导出不道而信的压力工作，并证明两个能量通量定义是等同于不同的一部分压力工作被认为是。差异载体来自出地热压工作的不发言的部分，罗斯比波群速度的熟悉的向西部件来自出地高空压力工作的发散部分。在宽带波场中，在单个组速度方面的能量通量的表达不再有意义，但在发散压力工作方面的能量通量表达仍然有效。

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