This paper studies the modulation effect of linear shear flow (LSF), comprising a uniform flow and a shear flow with constant vorticity, combined with wind and dissipation on freak wave generation in water of finite depth. A nonlinear Schrödinger equation (NLSE) modified by LSF, strong wind, and dissipation is derived. This can be reduced to consider the effects of LSF, light wind, and dissipation, and further reduced to include only LSF. The relation between modulational instability (MI) of the NLSE and freak waves represented as a modified Peregrine Breather solution is analyzed. When considering only LSF, the convergence (divergence) effect of uniform up-flow (down-flow) and positive (negative) vorticity increases (decreases) the MI growth rate and promotes (inhibits) freak wave generation. The combined effect of LSF and light wind shows that a light adverse (tail) wind can restrain (amplify) MI and bury (trigger) freak waves. Under the effect of a light tailwind, LSF has the same effect on the MI growth rate and freak wave generation as the case without any wind. The combination of LSF and strong wind enables both adverse and tail winds to amplify MI and trigger freak waves. In the presence of strong wind, LSF has the opposite effect to the case of a light tailwind.
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September 2023
Research Article|
September 19 2023
Modulation effect of linear shear flow, wind, and dissipation on freak wave generation in finite water depth
Special Collection:
Recent Advances in Marine Hydrodynamics
Shaofeng Li (李少峰)
;
Shaofeng Li (李少峰)
(Conceptualization, Formal analysis, Methodology)
1
State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, Ministry of Natural Resources
, Hangzhou 310012, China
2
Southern Marine Science and Engineering Guangdong Laboratory
, Zhuhai 519080, China
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Xiaohui Xie (谢晓辉)
;
Xiaohui Xie (谢晓辉)
a)
(Writing – review & editing)
1
State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, Ministry of Natural Resources
, Hangzhou 310012, China
2
Southern Marine Science and Engineering Guangdong Laboratory
, Zhuhai 519080, China
3
School of Oceanography, Shanghai Jiao Tong University
, Shanghai 20030, China
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Dake Chen (陈大可)
;
Dake Chen (陈大可)
a)
(Resources)
1
State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, Ministry of Natural Resources
, Hangzhou 310012, China
2
Southern Marine Science and Engineering Guangdong Laboratory
, Zhuhai 519080, China
3
School of Oceanography, Shanghai Jiao Tong University
, Shanghai 20030, China
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Jinbao Song (宋金宝)
Jinbao Song (宋金宝)
(Writing – review & editing)
4
Ocean College, Zhejiang University
, Zhoushan 316000, China
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Physics of Fluids 35, 097126 (2023)
Article history
Received:
July 14 2023
Accepted:
August 29 2023
Citation
Shaofeng Li, Xiaohui Xie, Dake Chen, Jinbao Song; Modulation effect of linear shear flow, wind, and dissipation on freak wave generation in finite water depth. Physics of Fluids 1 September 2023; 35 (9): 097126. https://doi.org/10.1063/5.0167722
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