Trapping mechanism for long waves over circular islands with power function profiles
Trapping mechanism for long waves over circular islands with power function profiles
复制标题
具有幂函数曲线的圆形岛屿长波捕获机制
DOI：
10.1007/s11802-017-3404-7
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发表时间：
2017-07
影响因子：
1.6
通讯作者：
Wang Gang
中科院分区：
文献类型：
--
作者：
Zheng Jinhai;Fu Danjuan;Wang Gang
Long waves such as tsunamis can be trapped by islands due to wave refraction, and these trapped waves will cause huge damage even in the sheltered shoreline of the island. That all waves propagating into the topography and finally reaching the coastline are called perfect trapped modes, while any waves escaping from the topography are called leaky modes. Whether these long waves can be trapped is dependent on the depth profile of the island. This paper presents analytic solutions of the ray path for waves propagating into the circular island with power function profiles. Wave height distributions over the island are further investigated based on the principia that crowded rays correspond to large wave height and sparse rays correspond to small wave height. The trapped mechanism for water waves over the island is revealed based on their ray paths. Furthermore, the perfectly trapped criterion is derived, that is, when the slope gradient at the topography toe is greater than twice the ratio of the water depth to the radial distances, all wave rays propagating on the island will finally reach the coastline, and the waves are perfectly trapped.
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DOI：
10.1098/rspa.1952.0152
发表时间：
1952-08
期刊：
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
影响因子：
--
作者：
F. Ursell
通讯作者：
F. Ursell
影响因子：
3.7
作者：
M. Longuet-Higgins
通讯作者：
M. Longuet-Higgins
DOI：
10.1007/978-94-009-1433-9_18
发表时间：
1988
期刊：
--
影响因子：
--
作者：
R. Shaw;W. Neu
通讯作者：
R. Shaw;W. Neu
影响因子：
3
作者：
F. Snodgrass;W. Munk;G. Miller
通讯作者：
F. Snodgrass;W. Munk;G. Miller
影响因子：
2
作者：
I. Fine;E. Kulikov;J. Cherniawsky
通讯作者：
I. Fine;E. Kulikov;J. Cherniawsky