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首页> 外文期刊>Geophysical and Astrophysical Fluid Dynamics >Quasigeostrophic planetary waves in a two-layer ocean with one-dimensional periodic bottom topography
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Quasigeostrophic planetary waves in a two-layer ocean with one-dimensional periodic bottom topography

机译：具有一维周期性底部地形的两层海洋中的准地转行星波

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摘要

Although the study of topographic effects on the Rossby waves in a stratified ocean has a long history, the wave property over a periodic bottom topography whose lateral scale is comparable to the wavelength is still not clear. The present paper treats this problem in a two-layer ocean with one-dimensional periodic bottom topography by a simple numerical method, in which no restriction on the wavelength and/or the horizontal scale of the topography is required. The dispersion diagram is obtained for a wavenumber range of [-pi/L-b, pi/L-b], where L-b is the periodic length of the topography. When the topographic beta is not negligible compared to the planetary beta , the Rossby wave solutions around the wavenumbers which satisfy the resonant condition among the waves and topography disappear and separate into an infinite number of discrete modes. For convenience, each mode is numbered in order of frequency. As topographic height is increased, the high frequency barotropic Rossby wave (mode 1) becomes a topographic mode which can exist even on the f plane, and the highfrequency baroclinic mode (mode 2) becomes a surface intensified mode. Behaviors of low frequency modes are somewhat complicated. When the topographic amplitude is small, the low frequency baroclinic modes tend to be bottom trapped and the low frequency barotropic modes tend to be surface intensified. As topographic amplitude further increases, the relation between the mode number and vertical structure changes. This change can be attributed to the increase of the frequency of the topographic mode with the topographic amplitude.
机译：尽管对分层海洋中罗斯比波的地形影响的研究已有很长的历史，但对横向尺度与波长相当的周期性底部地形的波特性仍不清楚。本文通过一种简单的数值方法在具有一维周期性底部地形的两层海洋中解决了这一问题，该方法不需要限制波长和/或地形的水平尺度。色散图是针对[-pi / L-b，pi / L-b]的波数范围获得的，其中L-b是形貌的周期长度。当地形β与行星β相比不可忽略时，满足波与地形之间共振条件的波数周围的Rossby波解消失并分离为无数个离散模式。为方便起见，每种模式均按频率顺序编号。随着地形高度的增加，高频正压Rossby波（模式1）变为甚至可以在f平面上存在的地形模式，而高频斜压模式（模式2）则变为表面增强模式。低频模式的行为有些复杂。当地形振幅较小时，低频斜压模倾向于被底部俘获，而低频斜压模倾向于被表面强化。随着地形振幅的进一步增加，模数与垂直结构之间的关系发生了变化。这种变化可以归因于地形模式的频率随地形振幅的增加。

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