On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current
On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current
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DOI：
10.1155/2014/480670
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发表时间：
2014-04
影响因子：
1.2
通讯作者：
D. Guo;B. Tao;Xiaohui Zeng
中科院分区：
文献类型：
--
作者：
D. Guo;B. Tao;Xiaohui Zeng
本文对线性切变流作用下的二维毛细重力孤立波的动力学进行了数值研究。数值方法基于含时保角变换。考虑了不同类型孤立波的稳定性。低压波和大幅度上升波都是稳定的，而小幅度上升波对小扰动不稳定，最终演化为类似于无旋转毛细重力波的尾部下降波。
The numerical study of the dynamics of two-dimensional capillary-gravity solitary waves on a linear shear current is presented in this paper. The numerical method is based on the time-dependent conformal mapping. The stability of different kinds of solitary waves is considered. Both depression wave and large amplitude elevation wave are found to be stable, while small amplitude elevation wave is unstable to the small perturbation, and it finally evolves to be a depression wave with tails, which is similar to the irrotational capillary-gravity waves.