On three-dimensional internal gravity wave beams and induced large-scale mean flows

On three-dimensional internal gravity wave beams and induced large-scale mean flows
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关于三维内部重力波束和诱发的大尺度平均流

DOI:
10.1111/sapm.12257
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发表时间:
2019
影响因子:
2.7
通讯作者:
T.R.Akylas
T.R.Akylas
中科院分区:
数学3区
文献类型:
--
作者:
T.Kataoka;T.R.Akylas

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利用小振幅展开讨论了弱非线性重力内波束在均匀刚性斜坡上反射所引起的平均流,其中恒定相位的束平面在任意方向上与斜坡相交,不一定平行于等深线,并且流动不能视为二维。沿着垂线,由于这种斜反射,欧拉平均流与斯托克斯漂移相等且相反,因此拉格朗日平均流消失,类似于二维反射。然而,水平欧拉平均流由平均位涡(PV)控制,相应的拉格朗日平均流一般不为零,这与PV完全为零的二维流相反。此外,对于斜反射,粘性耗散可以通过平均PV的不可逆产生触发水平平均流的产生,这是一种类似于流的现象。
Small‐amplitude expansions are utilized to discuss the mean flow induced by the reflection of a weakly nonlinear internal gravity wave beam at a uniform rigid slope, in the case where the beam planes of constant phase meet the slope at an arbitrary direction, not necessarily parallel to the isobaths, and the flow cannot be taken as two dimensional. Along the vertical, the Eulerian mean flow, due to such an oblique reflection, is equal and opposite to the Stokes drift so the Lagrangian mean flow vanishes, similar to a two‐dimensional reflection. The horizontal Eulerian mean flow, however, is controlled by the mean potential vorticity (PV) and the corresponding Lagrangian mean flow is generally nonzero, in contrast to two‐dimensional flow where PV identically vanishes. For an oblique reflection, furthermore, viscous dissipation can trigger generation of horizontal mean flow via irreversible production of mean PV, a phenomenon akin to streaming.
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