海岸准地转边缘波相互作用对底边界特征的敏感性：涡动参数化的可能意义
On the sensitivity of coastal quasigeostrophic edge wave interaction to bottom boundary characteristics: possible implications for eddy parameterizations
摘要：
通过在下边界上引入缓坡和埃克曼抽吸，重新讨论了适用于内PV梯度为零的准地转海洋流的斜压不穩定Eady问题。解的性质由等密度线斜率相对于底斜率或埃克曼深度与水平波数之比决定。注意的增长，衰减和稳定的扰动的物理解释，强调准地转边缘波和Eady波之间的密切联系，和作用的等密斜率的稳定性属性，而不是底部密度梯度。扰动结构的边界条件的强烈影响。对于倾斜的底部边界，增长率是最不稳定的波，如果isopycnals倾斜在相同的方向作为底部，但在一般情况下，非标准的边界条件往往会延迟扰动的增长。特别是，存在的长波和短波截止被发现是非常敏感的边界条件，无论是倾斜的地形和埃克曼抽吸。有人建议，任何截断的增长率在一个Eady样的问题，实际上是从所选择的边界条件。然而，对于一定范围的参数，最大的增长率是可比的，发现在原来的伊迪问题，这可以解释公平的成功享有最近的涡参数化的基础上的伊迪增长率的时间尺度。
英文摘要：
The Eady problem of baroclinic instability as applicable to quasi-geostrophic oceanic flows with zero internal PV gradients is revisited by introducing a mild slope and Ekman pumping on the lower boundary. The solution behaviour is determined by the isopycnal slope relative to either the bottom slope or the ratio of Ekman depth to horizontal wavenumber. Attention is paid to the physical interpretation of the growing, decaying and stable disturbances, with emphasis on the intimate connection between the quasigeostrophic edge waves and Eady waves, and the role of the isopycnal slope for the stability properties as opposed to the bottom density gradient. The disturbance structure is found to be strongly influenced by the boundary conditions. For a sloping bottom boundary, the growth rate is enhanced for the most unstable waves if the isopycnals tilt in the same direction as the bottom, but in general non-standard boundary conditions tend to retard the growth of disturbances. In particular, the existence of the long- and short-wave cutoffs is found to be very sensitive to boundary conditions, both for the sloping topography and the Ekman pumping. It is suggested that any cutoffs for the growth rate in an Eady-like problem actually result from the chosen boundary conditions. However, for a certain range of parameters, the maximum growth rate is comparable to that found in the original Eady problem, which may explain the fair success enjoyed by recent eddy parameterizations basing their timescale on the Eady growth rate.
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