Combined effects of topography and bottom friction on shoaling internal solitary waves in the South China Sea

doi:10.1007/s10483-019-2465-8

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (4): 421-434.doi: https://doi.org/10.1007/s10483-019-2465-8

• 论文 • 下一篇

Combined effects of topography and bottom friction on shoaling internal solitary waves in the South China Sea

Dalin TAN^1,2, Jifu ZHOU^1,2, Xu WANG¹, Zhan WANG^1,2

1. Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2018-06-25 修回日期:2018-08-08 出版日期:2019-04-01 发布日期:2019-04-01
通讯作者: Jifu ZHOU E-mail:zhoujf@imech.ac.cn
基金资助:
Project supported by the National Key R&D Program of China (No. 2017YFC1404202), the National Natural Science Foundation of China (Nos. 11572332, 11602274, and 11232012), and the Strategic Priority Research Program of the Chinese Academy of Sciences (No. XDB22040203)

Combined effects of topography and bottom friction on shoaling internal solitary waves in the South China Sea

Dalin TAN^1,2, Jifu ZHOU^1,2, Xu WANG¹, Zhan WANG^1,2

1. Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2018-06-25 Revised:2018-08-08 Online:2019-04-01 Published:2019-04-01
Contact: Jifu ZHOU E-mail:zhoujf@imech.ac.cn
Supported by:
Project supported by the National Key R&D Program of China (No. 2017YFC1404202), the National Natural Science Foundation of China (Nos. 11572332, 11602274, and 11232012), and the Strategic Priority Research Program of the Chinese Academy of Sciences (No. XDB22040203)

摘要/Abstract

摘要：

A numerical study to a generalized Korteweg-de Vries (KdV) equation is adopted to model the propagation and disintegration of large-amplitude internal solitary waves (ISWs) in the South China Sea (SCS). Based on theoretical analysis and in situ measurements, the drag coefficient of the Chezy friction is regarded as inversely proportional to the initial amplitude of an ISW, rather than a constant as assumed in the previous studies. Numerical simulations of ISWs propagating from a deep basin to a continental shelf are performed with the generalized KdV model. It is found that the depression waves are disintegrated into several solitons on the continental shelf due to the variable topography. It turns out that the amplitude of the leading ISW reaches a maximum at the shelf break, which is consistent with the field observation in the SCS. Moreover, a dimensionless parameter defining the relative importance of the variable topography and friction is presented.

关键词: probabilistic metric space, Caristi’s coincidence theorem, Ekeland’s variational principle, partial ordering set., South China Sea (SCS), internal solitary wave (ISW), Chezy friction, variable topography

Abstract:

Key words: probabilistic metric space, Caristi’s coincidence theorem, Ekeland’s variational principle, partial ordering set., internal solitary wave (ISW), Chezy friction, South China Sea (SCS), variable topography

中图分类号:

35Q53
76B55

Dalin TAN, Jifu ZHOU, Xu WANG, Zhan WANG. Combined effects of topography and bottom friction on shoaling internal solitary waves in the South China Sea[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(4): 421-434.

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Combined effects of topography and bottom friction on shoaling internal solitary waves in the South China Sea

Combined effects of topography and bottom friction on shoaling internal solitary waves in the South China Sea

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