Shoaling on Steep Continental Slopes: Relating Transmission and Reflection Coefficients to Green’s Law
Shoaling on Steep Continental Slopes: Relating Transmission and Reflection Coefficients to Green’s Law
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大陆陡坡上的浅滩：将传输和反射系数与格林定律联系起来
DOI：
10.1007/s00024-019-02316-y
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发表时间：
2019
影响因子：
2
通讯作者：
R. LeVeque
中科院分区：
文献类型：
--
作者：
J. George;D. Ketcheson;R. LeVeque
长波在大陆架上的传播在海啸建模和其他应用中具有很大的意义，在这些应用中，理解变浅过程中波浪的放大是很重要的。当线性化浅水方程被求解时，大陆架被模拟为尖锐的不连续面，振幅的比值由透射系数给出。另一方面，当斜率相对于入射波的波长非常宽时，则放大由绿色定律支配，该定律预测比透射系数更大的放大，以及比由尖锐界面的反射系数给出的振幅小得多的振幅反射。我们探讨这些结果之间的关系，并阐明在一个非常陡峭的大陆架的中间情况下的行为。
The propagation of long waves onto a continental shelf is of great interest in tsunami modeling and other applications where understanding the amplification of waves during shoaling is important. When the linearized shallow water equations are solved with the continental shelf modeled as a sharp discontinuity, the ratio of the amplitudes is given by the transmission coefficient. On the other hand, when the slope is very broad relative to the wavelength of the incoming wave, then amplification is governed by Green’s Law, which predicts a larger amplification than the transmission coefficient, and a much smaller amplitude reflection than given by the reflection coefficient of a sharp interface. We explore the relation between these results and elucidate the behavior in the intermediate case of a very steep continental shelf.