Chaotic Lagrangian trajectories around an elliptical vortex patch embedded in a constant and uniform background shear flow
- 1 February 1990
- journal article
- conference paper
- Published by AIP Publishing in Physics of Fluids A: Fluid Dynamics
- Vol. 2 (2) , 123-126
- https://doi.org/10.1063/1.857814
Abstract
The Lagrangian flow around a Kida vortex [J. Phys. Soc. Jpn. 50, 3517 (1981)], an elliptical two-dimensional vortex patch embedded in a uniform and constant background shear, is described by a nonintegrable two-degree-of-freedom Hamiltonian. For small values of shear, there exist large chaotic zones surrounding the vortex, often much larger than the vortex itself and extremely close to its boundary. Motion within the vortex is integrable. Implications for two-dimensional turbulence are discussed.Keywords
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