Changes in the form of short gravity waves on long waves and tidal currents
Changes in the form of short gravity waves on long waves and tidal currents
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DOI：
10.1017/s0022112060000803
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发表时间：
1960-08
影响因子：
3.7
通讯作者：
M. Longuet-Higgins;R. W. Stewart
中科院分区：
文献类型：
--
作者：
M. Longuet-Higgins;R. W. Stewart
当短重力波叠加在同一类型的长波上时，在长波的波峰处有变短和变陡的趋势，而在波谷处则相应地变长和变低。在本文中，通过考虑两个波列之间的非线性相互作用，较短的波列的波长和振幅的变化进行了严格的计算。这些结果在某些方面与联合国人口基金先前的估计有所不同。短波能量的变化对应于长波对短波辐射应力所做的功，这在以前被忽略了。辐射应力的概念在其他问题中可能是有价值的。
Short gravity waves, when superposed on much longer waves of the same type, have a tendency to become both shorter and steeper at the crests of the longer waves, and correspondingly longer and lower in the troughs. In the present paper, by taking into account the non-linear interactions between the two wave trains, the changes in wavelength and amplitude of the shorter wave train are rigorously calculated. The results differ in some essentials from previous estimates by Unna. The variation in energy of the short waves is shown to correspond to work done by the longer waves against the radiation stress of the short waves, which has previously been overlooked. The concept of the radiation stress is likely to be valuable in other problems.