NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
The 60th Japan National Congress for Theoretical and Applied Mechanics
Session ID : OS17-03
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OS17
Study on stability of array of vortices using the Okubo-Weiss criterion
*Takaihro IwayamaKazuhito YamasakiTakahiro Yajima
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Abstract
The Okubo-Weiss criterion is a well-known method to extract the coherent region in the vorticity field of two dimensional (2D) turbulence. This method also describes the linear stability of the trajectory of the Lagrangian particles immersed in 2D flow. In this study, the Okubo-Weiss criterion for 2D potential flows is derived. Moreover, the stability of the array of the point vortices is discussed in terms of the Okubo-Weiss criterion, because the equation of motion of the point vortices in 2D incompressible fluid are governed by the same equations with the Lagrangian particles immersed in 2D flow. Furthermore, we compare the result of the present analysis with the well-known stability analysis of array of the point vortices. In particular, we focus on the stability of the Karman vortex street.
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© 2011 The Japan Society of Mechanical Engineers
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