论文标题
在分层流体中平均流动逆转的Holton-Lindzen-plumb模型上
On the Holton-Lindzen-Plumb model for mean flow reversals in stratified fluids
论文作者
论文摘要
Holton-Lindzen-Plumb模型描述了分层流体中平均流动逆转的自发出现。它在理解地球平流层中赤道风的准双年生振荡方面起着核心作用，并且可以说是地球物理和天体物理流体动力学中波浪流动相互作用理论的关键。模型方程从原始方程式衍生源于几个假设，包括准线性近似，WKB的范围扩展波场，边界层项的简化等。从二维，非旋转的Boussinesq方程开始，我们在本文中介绍了Holton-Lindzen-plumb模型的自洽推导，并显示了所有近似值保持有效的杰出极限的存在。我们还讨论了边界条件的重要作用，以及该模型描述与准周期途径相关的次要分叉的相关性。
The Holton-Lindzen-Plumb model describes the spontaneous emergence of mean flow reversals in stratified fluids. It has played a central role in understanding the quasi-biennial oscillation of equatorial winds in Earth's stratosphere and has arguably become a linchpin of wave-mean flow interaction theory in geophysical and astrophysical fluid dynamics. The derivation of the model's equation from primitive equations follows from several assumptions, including quasi-linear approximations, WKB expansion of the wavefield, simplifications of boundary layer terms, among others. Starting from the two-dimensional, non-rotating, Boussinesq equations, we present in this paper a self-consistent derivation of the Holton-Lindzen-Plumb model and show the existence of a distinguished limit for which all approximations remains valid. We furthermore discuss the important role of boundary conditions, and the relevance of this model to describe secondary bifurcations associated with a quasi-periodic route to chaos.
