Evolution of an elliptical flow in weakly nonlinear regime

Yuji Hattori, Yasuhide Fukumoto, Kaoru Fujimura

研究成果: 書籍の章/レポート/Proceedings会議への寄与査読

抄録

We study the nonlinear evolution of an elliptical flow by weakly nonlinear analysis. Two sets of amplitude equations are derived for different situations. First, the weakly nonlinear evolution of helical modes is considered. Nonlinear selfinteraction of the two base Kelvin waves results in cubic nonlinear terms, which causes saturation of the elliptical instability. Next, the case of triad interaction is considered. Three Kelvin waves, one of which is a helical mode, form a resonant triad thanks to freedom of wavenumber shift. As a result three-wave equations augmented with linear terms are obtained as amplitude equations. They explain the numerical results on the secondary instability obtained by Kerswell (1999).

本文言語英語
ホスト出版物のタイトルIUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence
ページ433-438
ページ数6
DOI
出版ステータス出版済み - 2008
イベントIUTAM Symposium on Computational Physics and New Perspectives in Turbulence - Nagoya, 日本
継続期間: 2006 9月 112006 9月 14

出版物シリーズ

名前Solid Mechanics and its Applications
4
ISSN(印刷版)1875-3507

会議

会議IUTAM Symposium on Computational Physics and New Perspectives in Turbulence
国/地域日本
CityNagoya
Period06/9/1106/9/14

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