Ganesh, R. ; Avinash, K. (2002) Statistical mechanics of axisymmetric vortex rings Physical Review E, 65 (2). Article ID 026402. ISSN 1063-651X
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Official URL: http://journals.aps.org/pre/abstract/10.1103/PhysR...
Related URL: http://dx.doi.org/10.1103/PhysRevE.65.026402
Abstract
We construct maximum entropy states of a collection of interacting uniform (ω/R=const) axisymmetric vortex rings in a semiperiodic bounded volume. Following Miller [Phys. Rev. Lett. 65, 2137 (1990)] and Robert and Sommeria [J. Fluid Mech. 229, 291 (1991)], we obtain an equilibrium measure that preserves all the ideal invariants such as the total energy, total impulse, circulation, and an infinity of Casimirs. The numerical solution for a wide range of total flow energy and for given values of total circulation and total impulse is presented.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 102911 |
| Deposited On: | 09 Mar 2018 10:45 |
| Last Modified: | 09 Mar 2018 10:45 |
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