Wave-averaged balance: a simple example
Wave-averaged balance: a simple example
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波浪平均余额：一个简单的例子
DOI：
10.1017/jfm.2020.1032
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发表时间：
2021
影响因子：
3.7
通讯作者：
Young, William R.
中科院分区：
文献类型：
--
作者：
Kafiabad, Hossein A.;Vanneste, Jacques;Young, William R.
在惯性重力波存在的情况下，以快速旋转、强烈分层流的缓慢动力学为特征的地转和静水平衡在时间平均意义上保持不变，并适用于拉格朗日平均速度和浮力。我们给出了这种波平均平衡的初等推导，并利用垂直平面近惯性波与正压反旋涡相互作用的简单构型，说明了它在三维Boussinesq方程数值解中的准确性。我们进一步利用波浪平均位涡的守恒来预测波浪引起的正压涡的变化。
In the presence of inertia-gravity waves, the geostrophic and hydrostatic balance that characterises the slow dynamics of rapidly rotating, strongly stratified flows holds in a time-averaged sense and applies to the Lagrangian-mean velocity and buoyancy. We give an elementary derivation of this wave-averaged balance and illustrate its accuracy in numerical solutions of the three-dimensional Boussinesq equations, using a simple configuration in which vertically planar near-inertial waves interact with a barotropic anticylonic vortex. We further use the conservation of the wave-averaged potential vorticity to predict the change in the barotropic vortex induced by the waves.