Surface effects of internal wave generated by a moving source in a two-layer fluid of finite depth

被引:1
作者
Wei Gang
Le Jia-Chun
Dai Shi-qiang
机构
[1] Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics
[2] University of Science and Technology,Institute of Science
[3] PLA,undefined
来源
Applied Mathematics and Mechanics | 2003年 / 24卷
关键词
internal wave; surface wave; stratified fluid; divergence field; wave-wave interaction; ship wave; O353; 76B20;
D O I
暂无
中图分类号
学科分类号
摘要
Based on the potential flow theory of water waves, the interaction mechanism between the free-surface and internal waves generated by a moving point source in the lower layer of a two-layer fluid was studied. By virtue of the method of Green's function, the properties of the divergence field at the free surface were obtained, which plays an important role in the SAR (Synthetic Aperture Radar) image. It is shown that the coupling interaction between the surface-wave mode and internal-wave mode must be taken into account for the cases of large density difference between two layers, the source approaching to the pynocline and the total Froude number Fr close to the critical number Fr2. The theoretical analysis is qualitatively consistent with the experimental results presented by Ma Hui-yang.
引用
收藏
页码:1025 / 1040
页数:15
相关论文
共 43 条
[31]   Propagation of Perturbations in a Two-Layer Stratified Fluid with an Interface Excited by Moving Sources [J].
Perova, L. V. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (06) :1001-1023
[32]   On the localization of 2D nonlinear internal waves in a two-layer fluid [J].
A. V. Porubov .
Technical Physics, 2005, 50 :864-867
[33]   Free surface simulation of a two-layer fluid by boundary element method [J].
Koo, Weoncheol .
INTERNATIONAL JOURNAL OF NAVAL ARCHITECTURE AND OCEAN ENGINEERING, 2010, 2 (03) :127-131
[34]   Structure of internal solitary waves in two-layer fluid at near-critical situation [J].
Kurkina, O. ;
Singh, N. ;
Stepanyants, Y. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) :1235-1242
[35]   Internal solitary and cnoidal waves of moderate amplitude in a two-layer fluid: the extended KdV equation approximation [J].
Sidorovas, Nerijus ;
Tseluiko, Dmitri ;
Choi, Wooyoung ;
Khusnutdinova, Karima .
PHYSICA D-NONLINEAR PHENOMENA, 2025, 481
[36]   Numerical investigation of internal wave and free surface wave induced by the DARPA Suboff moving in a strongly stratified fluid [J].
Ma, Weizhuang ;
Li, Yunbo ;
Ding, Yong ;
Duan, Fei ;
Hu, Kaiye .
SHIPS AND OFFSHORE STRUCTURES, 2020, 15 (06) :587-604
[37]   On surface flow induced by internal waves generated by a slender body moving at low internal Froude number in a sharply stratified fluid [J].
Zhang, Jun ;
Yao, Zhichong ;
Hong, Fangwen ;
Zhou, Genshui ;
Gao, Debao ;
Su, Boyue .
OCEAN ENGINEERING, 2021, 239
[38]   Two-dimensional moonpool resonances for interface and surface-piercing twin bodies in a two-layer fluid [J].
Zhang, Xinshu ;
Bandyk, Piotr .
APPLIED OCEAN RESEARCH, 2014, 47 :204-218
[39]   The uniform asymptotic form of the internal gravity-wave field generated by a source moving above a smoothly varying bottom [J].
Bulatov, Vitaly V. ;
Vladimirov, Yury V. .
JOURNAL OF ENGINEERING MATHEMATICS, 2011, 69 (2-3) :243-259
[40]   Experiments on quasi-two-dimensional dipolar vortex streets generated by a moving momentum source in a stratified fluid [J].
Chen Ke ;
You Yun-Xiang ;
Hu Tian-Qun ;
Zhu Min-Hui ;
Wang Xiao-Qing .
ACTA PHYSICA SINICA, 2011, 60 (02)