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    Fukumoto, Yasuhide and Kambe, Tsutomu 2016. Handbook of Fluid Dynamics, Second Edition.

    Luzzatto-Fegiz, Paolo and Williamson, Charles H. K. 2012. Structure and stability of the finite-area von Kármán street. Physics of Fluids, Vol. 24, Issue. 6, p. 066602.

    Jiménez, Javier and Guegan, Alan 2007. Spontaneous generation of vortex crystals from forced two-dimensional homogeneous turbulence. Physics of Fluids, Vol. 19, Issue. 8, p. 085103.

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    Sutherland, B. R. and Peltier, W. R. 1994. Turbulence transition and internal wave generation in density stratified jets. Physics of Fluids, Vol. 6, Issue. 3, p. 1267.

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    Aref, H. and Kambe, T. 1988. Report on the IUTAM symposium: fundamental aspects of vortex motion. Journal of Fluid Mechanics, Vol. 190, Issue. -1, p. 571.

    Jiménez, Javier 1988. Linear stability of a non-symmetric, inviscid, Kármán street of small uniform vortices. Journal of Fluid Mechanics, Vol. 189, Issue. -1, p. 337.

    Saffman, P G 1988. The stability of vortex arrays to two- and three-dimensional disturbances. Fluid Dynamics Research, Vol. 3, Issue. 1-4, p. 13.

    Wan, Yieh-Hei 1988. Instability of vortex streets with small cores. Physics Letters A, Vol. 127, Issue. 1, p. 27.

  • Journal of Fluid Mechanics, Volume 178
  • May 1987, pp. 177-194

On the linear stability of the inviscid Kármán vortex street

  • Javier Jimenez (a1) (a2)
  • DOI:
  • Published online: 01 April 2006

The classical point-vortex model for a Kármán vortex street is linearly stable only for an isolated case. This property has been shown numerically to hold for other, more complicated, models of the same flow. It is shown here that it is a consequence of the Hamiltonian structure of the model, related to the codimension of the set of matrices with a particular Jordan block structure in the space of Hamiltonian matrices, and that it can be expected to hold generically for any two-dimensional inviscid array of vortices that has back-to-fore symmetry, and that is ‘close enough’ to the point-vortex model.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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