INTEGRABLE 4 VORTEX MOTION

被引：52

作者：

ECKHARDT, B

机构：

[1] Institut für Festkörperforschung der Kernforschungsanlage, Jülich,5170, Germany

来源：

PHYSICS OF FLUIDS | 1988年 / 31卷 / 10期

关键词：

Phase space methods;

D O I：

10.1063/1.867025

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

It follows from the Poisson brackets between constants of motion that the motion of four vortices of zero net vorticity is integrable if the total momentum vanishes. The phase space motion of this integrable case is analyzed. One stable and several unstable uniformly rotating configurations are identified. © 1988 American Institute of Physics.

引用

页码：2796 / 2801

页数：6

共 18 条

[1] Aref H., 1985, Theoretical and Applied Mechanics. Proceedings of the XVIth International Congress, P43
[2] STIRRING BY CHAOTIC ADVECTION
AREF, H
[J]. JOURNAL OF FLUID MECHANICS, 1984, 143 (JUN) : 1 - 21
[3] MOTION OF 3 VORTICES
AREF, H
[J]. PHYSICS OF FLUIDS, 1979, 22 (03) : 393 - 400
[4] INTEGRABLE, CHAOTIC, AND TURBULENT VORTEX MOTION IN TWO-DIMENSIONAL FLOWS
AREF, H
[J]. ANNUAL REVIEW OF FLUID MECHANICS, 1983, 15 : 345 - 389
[5] INTEGRABLE AND CHAOTIC MOTIONS OF 4-VORTICES .1. THE CASE OF IDENTICAL VORTICES
AREF, H
POMPHREY, N
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 380 (1779): : 359 - 387
[6] POINT VORTEX MOTIONS WITH A CENTER OF SYMMETRY
AREF, H
[J]. PHYSICS OF FLUIDS, 1982, 25 (12) : 2183 - 2187
[7] Batchelor G.K., 1967, INTRO FLUID DYNAMICS
[8] ECKHARDT B, IN PRESS PHILOS T R
[9] QUASI-PERIODIC MOTIONS OF VORTEX SYSTEMS
KHANIN, KM
[J]. PHYSICA D, 1982, 4 (02): : 261 - 269
[10] ON AREFS VORTEX MOTIONS WITH A SYMMETRY CENTER
KOILLER, J
PINTODECARVALHO, S
RODRIGUESDASILVA, R
GONCALVESDEOLIVEIRA, LC
[J]. PHYSICA D, 1985, 16 (01): : 27 - 61

← 1 2 →