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ID 57484
フルテキストURL
著者
Obuse, Kiori 1Graduate School of Environmental and Life Science, Okayama University Kaken ID researchmap
Yamada, Michio Research Institute for Mathematical Sciences, Kyoto University
抄録
This paper addresses three-wave resonant interactions of Rossby-Haurwitz waves in two-dimensional turbulence on a rotating sphere. Zonal modes are often omitted from the "resonant wave set" even when they satisfy the conditions for three-wave resonant interactions, as they do not transfer any energy to other modes in a resonant manner. However, the presence of zonal flows induces phase shifts in other modes, and it is not at all clear that their influence is negligible. Since it is expected that three-wave resonant interactions govern the entire dynamics of turbulence if the rotation rate of the sphere is sufficiently high, by analogy with the theorem regarding three-wave resonant interactions of Rossby waves on a beta plane with sufficiently large beta previously proven by Yamada and Yoneda [Physica D 245, 1 (2013)], an appropriate definition of the resonant wave set was determined by comparing the time evolution of several wave sets on a rapidly rotating sphere. It was found that zonal waves of the form Y-l(m=0) exp(i omega t) with odd l, where Y(l)(m )are the spherical harmonics, should be considered for inclusion in the resonant wave set to ensure that the dynamics of the resonant wave set determine the overall dynamics of the turbulence on a rapidly rotating sphere. Consequently, it is suggested that the minimal resonant wave set that must be considered in the discussion of the three-wave interaction of Rossby-Haurwitz waves is the set consisting of nonzonal resonant waves and zonal waves of the form Y-l(0) exp(icot) with odd l.
発行日
2019-02-01
出版物タイトル
Physical Review Fluids
4巻
2号
出版者
American Physical Society
開始ページ
024601
ISSN
2469990X
資料タイプ
学術雑誌論文
言語
英語
OAI-PMH Set
岡山大学
著作権者
©2019 American Physical Society
論文のバージョン
publisher
DOI
Web of Science KeyUT
関連URL
isVersionOf https://doi.org/10.1103/PhysRevFluids.4.024601
助成機関名
日本学術振興会
助成番号
17H02860
15K13458
24340016