Abstract
Statistic features of a vortex street formed by instability of a jet are investigated by numerical calculation and statistic theory. A formation process of a vortex street is numerically calculated using a simple barotropic quasi-geostrophic system: a jet in the initial state begins to meander owing to its instability and vortices are formed in both flanks of the jet and become a steady vortex street. Statistic theory of vorticity mixing for two-dimensional fluid, which describes the statistically steady equilibrium state based on the maximum entropy assumption, is applied to the numerically obtained features of the steady vortex street. The theoretically derived relation between stream function and potential vorticity explains the results in the numerical calculation very well. However, in the numerical calculation, there remain regions where the fluid is not mixed well. By calculating mixing process of another scalar, the unmixed region is clearly shown on the physical plane.
Similar content being viewed by others
References
Flierl G.R., Malanotte-Rizzoli P., Zabusky N.J.: Nonlinear waves and coherent vortex structures in barotropic β-plane jets. J. Phys. Oceanogr. 17, 1408–1438 (1987)
Robert R., Sommeria J.: Statistical equilibrium states for two-dimensional flows. J. Fluid Mech. 229, 291–310 (1991)
Sommeria J., Staquet C., Robert R.: Final equilibrium state of two-dimensional shear layer. J. Fluid Mech. 233, 661–689 (1991)
Thess A., Sommeria J., Jüttner B.: Inertial organization of a two-dimensional turbulent vortex street. Phys. Fluids 6, 2417–2429 (1994)
Chavanis P.H., Sommeria J.: Classification of robust isolated vortices in two-dimensional hydrodynamics. J. Fluid Mech. 356, 259–296 (1998)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by H. Aref
Rights and permissions
About this article
Cite this article
Iga, K. Statistical theory applied to a vortex street generated from meander of a jet. Theor. Comput. Fluid Dyn. 24, 283–289 (2010). https://doi.org/10.1007/s00162-009-0120-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00162-009-0120-y