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Connection between corner vortices and shear layer instability in flow past an ellipse

Z. Jane Wang New York University Jian-Guo Liu University of Maryland S. Childress New York University

Analysis of PDEs mathscidoc:1702.03069

Physics of Fluids , 11, (9), 1999.9
We investigate, by numerical simulation, the shear layer instability associated with the outer layer of a spiral vortex formed behind an impulsively started thin ellipse. The unstable free shear layer undergoes a secondary instability. We connect this instability with the dynamics of corner vortices adjacent to the tip of the ellipse by observing that the typical turnover time of the corner vortex matches the period of the unstable mode in the shear layer. We suggest that the corner vortex acts as a signal generator, and produces periodic perturbation which triggers the instability.
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@inproceedings{z.1999connection,
  title={Connection between corner vortices and shear layer instability in flow past an ellipse},
  author={Z. Jane Wang, Jian-Guo Liu, and S. Childress},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170209124640236211393},
  booktitle={Physics of Fluids },
  volume={11},
  number={9},
  year={1999},
}
Z. Jane Wang, Jian-Guo Liu, and S. Childress. Connection between corner vortices and shear layer instability in flow past an ellipse. 1999. Vol. 11. In Physics of Fluids . http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170209124640236211393.
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