Finite-amplitude baroclinic instability of a mesoscale gravity current in a channel
Finite-amplitude baroclinic instability of a mesoscale gravity current in a channel
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DOI：
10.1080/03091929608213634
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发表时间：
1996-06
影响因子：
1.3
通讯作者：
C. Mooney;G. Swaters
中科院分区：
文献类型：
--
作者：
C. Mooney;G. Swaters
摘要本文发展了一个研究倾斜海底中尺度重力流边缘不稳定模态演化的有限振幅理论。该理论是基于一个nonquasigeostrophic，斜压模型的对流不稳定的重力流，允许大振幅等密度线偏转，同时过滤正压不稳定。两个计算。首先，一个纯粹的时间振幅方程推导出边际不稳定模式不位于边际稳定性曲线的最小值。这些模式最终平衡形成一个新的有限振幅周期解。其次，位于边际稳定性曲线的最小值的边际不稳定模式的包的演变。这两个模型由于基本的物理差异而显着不同。对于边缘不稳定模式不位于边缘稳定性曲线的最小值，它是可能的，以确定一个单一的正常模式振幅的演变。For ...
Abstract A finite amplitude theory is developed for the evolution of marginally unstable modes for a mesoscale gravity current on a sloping bottom. The theory is based on a nonquasigeostrophic, baroclinic model of the convective destabilization of gravity currents which allows for large amplitude isopycnal deflections while filtering out barotropic instabilities. Two calculations are presented. First, a purely temporal amplitude equation is derived for marginally unstable modes not located at the minimum of the marginal stability curve. These modes eventually equilibrate with a new finite amplitude periodic solution formed. Second, the evolution of a packet of marginally unstable modes located at the minimum of the marginal stability curve is presented. These two models are dramatically different due to fundamental physical differences. For marginally unstable modes not located at the minimum of the marginal stability curve, it is possible to determine the evolution of a single normal mode amplitude. For ...