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Internal solitary waves generated by a moving bottom disturbance

Published online by Cambridge University Press:  22 May 2023

Binbin Zhao Open the ORCID record for Binbin Zhao [Opens in a new window] ,
Tianyu Zhang ,
Wenyang Duan ,
Zhan Wang Open the ORCID record for Zhan Wang [Opens in a new window] ,
Xinyu Guo ,
Masoud Hayatdavoodi Open the ORCID record for Masoud Hayatdavoodi [Opens in a new window]  and
R. Cengiz Ertekin Open the ORCID record for R. Cengiz Ertekin [Opens in a new window]
Binbin Zhao
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, 150001 Harbin, PR China
Tianyu Zhang
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, 150001 Harbin, PR China
Wenyang Duan
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, 150001 Harbin, PR China
Zhan Wang*
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, 150001 Harbin, PR China Qingdao Innovation and Development Center of Harbin Engineering University, 266000 Qingdao, PR China
Xinyu Guo
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, 150001 Harbin, PR China
Masoud Hayatdavoodi
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, 150001 Harbin, PR China Civil Engineering Department, School of Science and Engineering, University of Dundee, Dundee DD1 4HN, UK
R. Cengiz Ertekin
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, 150001 Harbin, PR China Department of Ocean & Resources Engineering, University of Hawai'i, Honolulu, HI 96822, USA
*
†Email address for correspondence: zhan.wang@hrbeu.edu.cn
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Abstract

The strongly nonlinear Miyata–Choi–Camassa model under the rigid lid approximation (MCC-RL model) can describe accurately the dynamics of large-amplitude internal waves in a two-layer fluid system for shallow configurations. In this paper, we apply the MCC-RL model to study the internal waves generated by a moving body on the bottom. For the case of the moving body speed $U=1.1c_{0}$, where ${c_0}$ is the linear long-wave speed, the accuracy of the MCC-RL results is assessed by comparing with Euler's solutions, and very good agreement is observed. It is found that when the moving body speed increases from $U=0.8c_{0}$ to $U=1.241c_{0}$, the amplitudes of the generated internal solitary waves in front of the moving body become larger. However, a critical moving body speed is found between $U=1.241c_{0}$ and $U=1.242c_{0}$. After exceeding this critical speed, only one internal wave right above the body is generated. When the moving body speed increases from $U=1.242c_{0}$ to $U=1.5c_{0}$, the amplitudes of the internal waves become smaller.

JFM classification

Geophysical and Geological Flows: Internal waves Geophysical and Geological Flows: Stratified flows Waves/Free-surface Flows: Solitary waves

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Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 963 , 25 May 2023 , A32
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© The Author(s), 2023. Published by Cambridge University Press

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