Chen, Peilong and Cross, M. C. (1994) Phase diagram for coherent vortex formation in the two-dimensional inviscid fluid in circular geometries. Physical Review E, 50 (3). pp. 2022-2029. ISSN 1063-651X. http://resolver.caltech.edu/CaltechAUTHORS:CHEpre94
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We calculate the equilibrium states of a two-dimensional inviscid fluid in disk and annular geometries using the mean field equations that respect all conservation laws of the Euler equations. Axisymmetric vorticity distributions and their bifurcations to asymmetric solutions are calculated for a wide range of system parameters. Approximate zero-temperature compact vortices are also constructed and compared to symmetric states. From these results, the parameter ranges leading to the formation of a coherent vortex by the long time evolution from given initial conditions can be predicted without knowledge of the intervening dynamics. Applications to models of Jupiter’s great red spot and experiments on one-component plasmas in a magnetic field are discussed.
|Additional Information:||©1994 The American Physical Society. Received 26 October 1993. The authors acknowledge the support of the National Science Foundation under Grant No. DMR 9013984.|
|Subject Keywords:||GUIDING-CENTER PLASMA; GREAT RED SPOT; DECAYING 2-DIMENSIONAL TURBULENCE; STATISTICAL-MECHANICS; SELECTIVE DECAY; 2 DIMENSIONS; VORTICES; STATES; SIMULATION; EVOLUTION|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||05 Sep 2006|
|Last Modified:||26 Dec 2012 09:01|
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