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Chaotic Lagrangian Trajectories around an Elliptical Vortex Patch Embedded in a Constant and Uniform Background Shear Flow

Polvani, Lorenzo M.; Wisdom, J.

The Lagrangian flow around a Kida vortex [J. Phys. Soc. Jpn. 5 0, 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.



Also Published In

Physics of Fluids A: Fluid Dynamics

More About This Work

Academic Units
Applied Physics and Applied Mathematics
Lamont-Doherty Earth Observatory
Ocean and Climate Physics
American Institute of Physics
Published Here
November 19, 2013