Nonlinear internal gravity waves in a rotating fluid

Nonlinear internal gravity waves in a rotating fluid
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旋转流体中的非线性内部重力波

DOI:
10.1017/s0022112075002704
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发表时间:
1975
影响因子:
3.7
通讯作者:
R. Grimshaw
R. Grimshaw
中科院分区:
工程技术2区
文献类型:
--
作者:
R. Grimshaw

文献摘要

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当平均流的性质在由局部波结构决定的尺度上缓慢变化时,讨论了旋转坐标系中的重力内波与平均流的相互作用。建立了波作用守恒定律。结果表明,波对拉格朗日平均速度的主要影响是由于适当的“辐射应力”张量。导出了平均速度的环流定理和位涡方程。
The interaction between internal gravity waves in a rotating frame and the mean flow is discussed for the case when the properties of the mean flow vary slowly on a scale determined by the local wave structure. The principle of conservation of wave action is established. It is shown that the main effect of the waves on the Lagrangian mean velocity is due to an appropriate ‘radiation stress’ tensor. A circulation theorem and a potential-vorticity equation are derived for the mean velocity.