CaltechAUTHORS
  A Caltech Library Service

Phase diagram for coherent vortex formation in the two-dimensional inviscid fluid in circular geometries

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

[img]
Preview
PDF
See Usage Policy.

1359Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:CHEpre94

Abstract

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.


Item Type:Article
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
Record Number:CaltechAUTHORS:CHEpre94
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CHEpre94
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.50.2022
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4736
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Sep 2006
Last Modified:26 Dec 2012 09:01

Repository Staff Only: item control page