A numerical study of rotation effect on the propagation of nonlinear internal solitary waves in the northern South China Sea

A numerical study of rotation effect on the propagation of nonlinear internal solitary waves in the northern South China Sea
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南海北部旋转效应对非线性内孤立波传播的影响数值研究

DOI:
10.1016/j.apm.2017.01.085
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发表时间:
2017-06
影响因子:
5
通讯作者:
Cai Shuqun
Cai Shuqun
中科院分区:
工程技术2区
文献类型:
--
作者:
Deng Xiaodong;Cai Shuqun

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本文应用无量纲分析方法和一个改进的二维正则长波方程模式,研究了南海北方内孤立波传播的旋转效应。首先,估计了考虑旋转效应的模型方程中各项的贡献。结果表明,当ISW尺度大于100 km时,旋转效应是重要的。在此基础上,建立了南海北方ISW数值模拟的模式方程。通过数值试验发现,旋转效应主要影响了ISW波峰线的对称性、主导ISW的振幅和南北向扩展波峰线的振幅。在旋转作用下,ISW波峰线不对称,振幅衰减较快。对于一个振幅大于60 m的入射凹陷内孤子,当先导ISW传播330 km后,其顶线长度大于150 km,旋转效应对先导ISW振幅变化的贡献可达8%以上,而旋转效应和海底地形效应对ISW振幅变化的贡献则相反。旋转效应对前导ISW振幅变化的贡献随入射孤子振幅的增大而减小,但对传播ISW的北方/南方脊线而言,旋转效应对前导ISW振幅变化的贡献随离ISW脊线中心的距离的增大而增大。
In the paper, the rotation effect on the propagation of internal solitary waves (ISWs) in the northern South China Sea (SCS) is studied by applying non-dimensional analysis and a modified two-dimensional regularized long wave equation model. First, the contribution of each term in the model equation with rotation effect is estimated. It is shown that, the rotation effect is important once the scale of the propagating ISWs is larger than 100 km. Then, the model equation is differentiated and set up for the numerical simulation of ISWs in the northern SCS. Several numerical experiments are designed, and it is found that, the rotation effect mainly affects the symmetry of the ISW crestline, the amplitudes of the leading ISW and the north/south-ward extension crestline. With the rotation effect, the ISW crestline is not symmetrical, and the ISW amplitude decreases faster. For an incident depression internal soliton with an amplitude larger than 60 m, after the leading ISW propagates a distance of 330 km, the length of ISW crestline gets larger than 150 km, the contribution of rotation effect on the variation of leading ISW amplitude can reach more than 8%; the rotation effect and the bottom topographic effect on the variation of ISW amplitudes are opposite. The contribution of rotation effect on the variation of leading ISW amplitude decreases with an increase in amplitude of incident soliton, but it increases with the extension distance from the center of ISW crestline for the northern/southern crestlines of propagating ISWs.
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