The Propagation of Gravity-Inertia Waves and Lee Waves.
The Propagation of Gravity-Inertia Waves and Lee Waves.
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重力惯性波和李波的传播。
DOI：
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发表时间：
1996
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通讯作者：
A. Datta
中科院分区：
文献类型：
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作者：
A. Datta
众所周知，重力-惯性波的线性动力学方程具有三个奇异水平，一个是流速和波速相等的临界水平，另两个是流速等于±f/k的临界水平，其中f为科里奥利参数，k为波数，这里称为罗斯比奇点。本文讨论了二维重力惯性扰动，包括单色和连续谱（即背风波），在所有这些奇异能级方向上的传播。该研究是通过分析进行的，它提供了线性方程的封闭形式的解决方案，并通过数值模拟，这证实了分析，也显示了非线性，这些都是重要的。发现Rossby奇点产生单色波的非线性反射，并与纯重力波（f = 0）被临界能级反射的情况进行了比较。与当时的情况不同，在目前的问题中……
Abstract As is well known, the linear dynamic equations for gravity-inertia waves are characterized by three singular levels, one being the critical level at which flow speed and wave speed are equal, and the other two at which the flow speed is equal to ±f/k, where f is the Coriolis parameter and k the wave number, herein called Rossby singularities. This article discusses the propagation of two-dimensional gravity-inertial disturbances, both monochromatic and with continuous spectrum (i.e., lee waves), in a direction toward all of these singular levels. The study is conducted by analysis, which provides closed-form solutions to the linear equations, and by numerical simulation, which confirms the analysis and also exhibits nonlinearities where these are significant. It is found that the Rossby singularity produces nonlinear reflection of a monochromatic wave, and comparisons are made with the case of the pure gravity wave (f = 0) reflected by a critical level. Unlike that situation, in the present probl...