Interpretation of discrete and continuum modes in a two-layer Eady model

Interpretation of discrete and continuum modes in a two-layer Eady model
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两层 Eady 模型中离散模式和连续模式的解释

DOI:
10.1111/j.1600-0870.2006.00219.x
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发表时间:
2007
期刊:
Dynamic Meteorology and Oceanography
影响因子:
--
通讯作者:
De Vries H
De Vries H
中科院分区:
--
文献类型:
--
作者:
De Vries H

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传统的Eady斜压不稳定模型的上刚性盖子被一个更真实的平流层所取代,该平流层具有更高的浮力频率和不同的纬向风切变。使用称为PV积木(PVB)的地表和对流层相互作用的PVA异常的概念,重新解释了先前报道的正常模稳定性分析结果。在这个与反向传播Rossby波形式直接相关的视角下,短波和长波截止的出现在物理上都变得透明。新的结果包括从相互作用的PVB的角度讨论了连续模。连续振型是无粘线性化方程的模态解,由一个内部水平的非零PV(以及地面和对流层顶的非零PV)指定。如果平流层纬向风随高度减小,则连续模会在多层(甚至平流层)引起共振。这些共振连续模可能在解释离散简正模为中性的初始条件下的扰动增长中起重要作用。
The upper rigid lid of the conventional Eady model for baroclinic instability is replaced by a more realistic stratosphere with an increased buoyancy frequency and a different shear of the zonal wind. Previously reported results of a normalmode stability analysis are re-interpreted using the concept of interacting surface and tropopausePVanomalies, calledPV building blocks (PVBs). In this perspective, which directly relates to the counter-propagating Rossby wave formalism, the appearance of both the short-wave and the long-wave cut-off becomes physically transparent.New results include a discussion of the continuum modes in terms of interacting PVBs. Continuum modes are modal solutions to the inviscid linearised equations, specified by non-zero PV at one interior level (as well as non-zero PV at the surface and the tropopause). If the stratospheric zonal wind decreases with height, the continuum modes cause resonances at multiple (even stratospheric) levels. These resonant continuum modes may play an important role in the explanation of disturbance growth from initial conditions in which the discrete normal modes are neutral.
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