The propagation of continental shelf waves
The propagation of continental shelf waves
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DOI：
10.1098/rspa.1968.0115
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发表时间：
1968-06
期刊：
影响因子：
--
通讯作者：
V. Buchwald;J. K. Adams
中科院分区：
文献类型：
--
作者：
V. Buchwald;J. K. Adams
以指数斜率的大陆架为例，假设水平散度为零，作者推导出一个简单的自由大陆架波理论，然而，该理论比以前的理论更一般，因为较短和较长的波（与以前的工作相比）都考虑在内。讨论了波的性质，得到了各模式的色散曲线。虽然陆架波的相速度总是与开尔文波的相速度相同，但在一定波长范围内存在负的群速度，这表明能量可以在相反的方向上传播。一个类似的方法是用来推导出一个理论的自由波传播之间的两个区域的恒定深度的货架上。还考虑了零宽度陆架的极限情况，并与Longuet-Higgins（1967）发现的“双开尔文”波的极限情况进行了比较。
Taking the case of a continental shelf of exponential slope, and assuming zero horizontal divergence, the authors derive a simple theory of free shelf waves, which, however, is more general than previous theories in that shorter as well as longer waves (in comparison with previous work) are taken into account. The properties of the waves are discussed, and the dispersion curves for each mode are obtained. Although the phase velocities of shelf waves are always in the same sense as those of Kelvin waves, there is a negative group velocity for a range of wavelengths, indicating that energy can propagate in the opposite sense. A similar approach is used to derive a theory for free waves propagating on a shelf between two regions of constant depth. The limiting case of a shelf of zero width is also considered, and is compared with a limiting case of the ‘double-Kelvin’ waves discovered by Longuet-Higgins (1967).