On the Holton–Lindzen–Plumb model for mean flow reversals in stratified fluids,Quarterly Journal of the Royal Meteorological Society

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On the Holton–Lindzen–Plumb model for mean flow reversals in stratified fluids
Quarterly Journal of the Royal Meteorological Society ( IF 3.0 ) Pub Date : 2020-05-15 , DOI: 10.1002/qj.3821
Antoine Renaud ₁ , Antoine Venaille ₂

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The Holton–Lindzen–Plumb (HLP) 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 primary 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 HLP 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.

中文翻译：

在Holton-Lindzen-Plumb模型中分层流体中的平均流量逆转

Holton-Lindzen-Plumb（HLP）模型描述了分层流体中平均流量逆转的自发出现。它在理解地球平流层中的赤道风的准两年一次振荡中起着核心作用，并且可以说已经成为地球物理和天体流体动力学中波均流相互作用理论的关键。从一次方程式推导模型方程式的依据有几个假设，包括拟线性近似，波场的WKB扩展，边界层项的简化等。从二维，非旋转的Boussinesq方程开始，我们在本文中提出了HLP模型的自洽导数，并显示了所有近似值均有效的显着极限的存在。

更新日期：2020-05-15

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