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Chaotic motions of inviscid point vortices around rigid obstacles

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Il Nuovo Cimento B (1971-1996)

Summary

The planar motion ofN inviscid point vortices in the presence of a fixed rigid obstacle is described by an autonomous Hamiltonian set of differential equations. For circular and rectilinear boundary of the obstacle the two-vortex system is integrable. Numerical simulations suggest that the perturbation of the circular boundary into an ellypse causes homoclinic bifurcation in the restricted two-vortex system and transition to chaotic motion. This may be compared with the case of systems of free vortices (no obstacle) where chaotic motion first appears atN=4.

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Authors and Affiliations

  1. Dipartimento di Matematica dell’Università, Ancona, Italia

    R. Lupini

  2. Dipartimento di Fisica dell’Università, Bologna, Italia

    S. Siboni

Authors
  1. R. Lupini
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  2. S. Siboni
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Lupini, R., Siboni, S. Chaotic motions of inviscid point vortices around rigid obstacles. Nuov Cim B 106, 957–962 (1991). https://doi.org/10.1007/BF02728339

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  • DOI: https://doi.org/10.1007/BF02728339

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