热不稳定性的非线性饱和
Nonlinear saturation of thermal instabilities
摘要：
具有横向浮力变化的单层模型的低频模拟（即，在没有高波数不稳定性截止值的情况下，循环运动与表层海洋中的亚中尺度观测结果非常相似，而不是无限期地增长。在这份说明中，它表明，存在一个凸的赝能-动量积分的运动的无粘，无强迫动力学提供了一个机制，这种热不稳定性的非线性饱和在纬向对称的情况下。结果是\citet{Arnold-66}和\citet{Shepherd-88a}方法的应用。
英文摘要：
Low-frequency simulations of a one-layer model with lateral buoyancy variations (i.e., thermodynamically active) have revealed circulatory motions resembling quite closely submesoscale observations in the surface ocean rather than indefinitely growing in the absence of a high-wavenumber instability cutoff. In this note it is shown that the existence of a convex pseudoenergy--momentum integral of motion for the inviscid, unforced dynamics provides a mechanism for the nonlinear saturation of such thermal instabilities in the zonally symmetric case. The result is an application of \citet{Arnold-66} and \citet{Shepherd-88a} methods.
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