The limiting form of internal waves
The limiting form of internal waves
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内波的极限形式
DOI：
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发表时间：
1984
期刊：
影响因子：
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通讯作者：
J. Toland
中科院分区：
文献类型：
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作者：
C. Amick;J. Toland
研究了重力作用下水平壁间完全密度层状流体中二维内孤立波在旋涡起始点附近的分叉。结果表明，涡流不会附着在壁面上。此外，在旋涡形成之前，沿分叉分支总是有一条具有奇异尖点流线的流动。这种具有尖端流线的流动是我们所说的极限形式的内波的一个例子，类似于自由表面问题中的极端形式的斯托克斯波。给出了两个例子，其中初级密度分层确保在一种情况下存在限制波的下降，在另一种情况下确保上升的限制波的存在。
The bifurcation of two-dimensional internal solitary waves in a perfect density stratified fluid between horizontal walls under gravity is studied near to a point of incipient eddy formation. It is shown that eddies do not attach to the walls. Moreover, along the bifurcating branch there is always a flow with a singular cusped streamline before the formation of eddies. This flow with the cusped streamline is an example of what we call an internal wave of limiting form, by analogy with the Stokes wave of extreme form in the free surface problem. Two examples are given where the primary density stratification ensures the existence of a limiting wave of depression in one case, and of elevation in the other.