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https://hdl.handle.net/20.500.14094/90007546
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2024-04-25
08:59 集計
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90007546 (fulltext)
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メタデータID
90007546
アクセス権
open access
出版タイプ
Version of Record
タイトル
Breathers in a three-layer fluid
著者
著者ID
A0044
研究者ID
1000060271649
KUID
https://kuid-rm-web.ofc.kobe-u.ac.jp/search/detail?systemId=c5a2042377aa64d0520e17560c007669
著者名
Nakayama, K.
中山, 恵介
ナカヤマ, ケイスケ
所属機関名
工学研究科
著者名
Lamb, K. G.
収録物名
Journal of Fluid Mechanics
巻(号)
903
ページ
A40-A40
出版者
Cambridge University Press
刊行日
2020-11-25
公開日
2020-10-21
抄録
In a three-layer system, weakly nonlinear theory predicts that breathers exist under certain conditions which, under the Boussinesq approximation, include symmetric stratifications in which the density jump across each interface is the same and the upper and lower layer thicknesses are equal and less than 9/26 of the total water depth. The existence and characteristics of fully nonlinear breathers in this symmetric stratification are poorly understood. Therefore, this study investigates fully nonlinear breathers in a three-layer symmetric stratification in order to clarify their characteristics by making direct comparisons between numerical simulation results and theoretical solutions. A normalization of the breather profiles is introduced using theoretical solutions of a breather and a new energy scale is proposed to evaluate their potential and kinetic energy. We apply fully nonlinear and strongly dispersive internal wave equations in a three-layer system using a variational principle. The computational results show that the larger the amplitude, the shorter the length of the envelope of breathers, which agrees with the theoretical solution. However, breathers based on the theoretical solutions cannot progress without deformation and decay due to the emission of short small-amplitude internal waves. Furthermore we demonstrate that the shedding of larger amplitude waves occurs, and the amplitude of the envelope decays more strongly when the density interface crosses the critical depth where the ratio of the upper layer thickness and the total water depth is 9/26 suggesting a limiting amplitude for fully nonlinear breathers.
キーワード
internal waves
stratified flows
カテゴリ
工学研究科
学術雑誌論文
権利
© The Author(s), 2020. Published by Cambridge University Press.
This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is unaltered and is properly cited. The written permission of Cambridge University Press must be obtained for commercial re-use or in order to create a derivative work.
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資源タイプ
journal article
言語
English (英語)
ISSN
0022-1120
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eISSN
1469-7645
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NCID
AA11933642
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関連情報
DOI
https://doi.org/10.1017/jfm.2020.653
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