Variational treatment of inertia–gravity waves interacting with a quasi-geostrophic mean flow
Variational treatment of inertia–gravity waves interacting with a quasi-geostrophic mean flow
复制标题
具有准地转平均流的惯性重力相互作用波的变分处理
DOI：
10.1017/jfm.2016.693
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发表时间：
2016
影响因子：
3.7
通讯作者：
R. Salmon
中科院分区：
文献类型：
--
作者：
R. Salmon
三维流体静力Boussinesq动力学方程等价于一个变分原理，该变分原理与经典电动力学的变分原理非常相似。惯性重力波类似于电磁波，而可用的位涡（即位涡超过静止状态位涡的量）类似于电荷。拉格朗日量可以表示为三部分之和。第一部分对应于没有惯性重力波的准地转动力学。第二部分对应于惯性重力波的准地转流的情况下。第三部分代表惯性重力波与准地转运动之间的耦合。这一提法提供了一个一般理论的基础上的惯性重力波与准地转平均流相互作用。
The equations for three-dimensional hydrostatic Boussinesq dynamics are equivalent to a variational principle that is closely analogous to the variational principle for classical electrodynamics. Inertia–gravity waves are analogous to electromagnetic waves, and available potential vorticity (i.e. the amount by which the potential vorticity exceeds the potential vorticity of the rest state) is analogous to electric charge. The Lagrangian can be expressed as the sum of three parts. The first part corresponds to quasi-geostrophic dynamics in the absence of inertia–gravity waves. The second part corresponds to inertia–gravity waves in the absence of quasi-geostrophic flow. The third part represents a coupling between the inertia–gravity waves and quasi-geostrophic motion. This formulation provides the basis for a general theory of inertia–gravity waves interacting with a quasi-geostrophic mean flow.
影响因子：
3.7
作者：
Jin-Han Xie;J. Vanneste
通讯作者：
Jin-Han Xie;J. Vanneste