RESONANT FLOW OF A STRATIFIED FLUID OVER TOPOGRAPHY
RESONANT FLOW OF A STRATIFIED FLUID OVER TOPOGRAPHY
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DOI：
10.1017/s002211208600071x
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发表时间：
1986-08-01
影响因子：
3.7
通讯作者：
SMYTH, N
中科院分区：
文献类型：
--
作者：
GRIMSHAW, RHJ;SMYTH, N
当流动接近共振时，层状流体在地形上的流动被考虑在长波弱非线性极限中，即对于其中一个长波模式，基本流速接近线性长波相速度。结果表明，该模的振幅受受力的Korteweg-de Vries方程控制。对于各种不同的情况，包括亚临界和超临界流动、共振或非共振，以及与没有强迫时存在的孤立波具有相同或相反的极性的局域强迫，该方程都进行了解析和数值讨论。在许多情况下，会产生一个重要的上游扰动，它由一串孤立波组成。同时也证明了内水力理论在解释计算结果时的有效性。
The flow of a stratified fluid over topography is considered in the long-wavelength weakly nonlinear limit for the case when the flow is near resonance; that is, the basic flow speed is close to a linear long-wave phase speed for one of the long-wave modes. It is shown that the amplitude of this mode is governed by a forced Korteweg-de Vries equation. This equation is discussed both analytically and numerically for a variety of different cases, covering subcritical and supercritical flow, resonant or non-resonant, and for localized forcing that has either the same, or opposite, polarity to the solitary waves that would exist in the absence of forcing. In many cases a significant upstream disturbance is generated which consists of a train of solitary waves. The usefulness of internal hydraulic theory in interpreting the results is also demonstrated.