Trapping of passive tracers in a point vortex system

被引：26

作者：

Boffetta, G ^{[1
]}

Celani, A ^{[1
]}

Franzese, P ^{[1
]}

机构：

[1] POLITECN TORINO, DIPARTIMENTO INGN AERONAUT & SPAZIALE, I-10129 TURIN, ITALY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 14期

关键词：

D O I：

10.1088/0305-4470/29/14/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The advection of passive markers in the flow generated by two point vortices in a disc is studied. This Hamiltonian dynamics is investigated by means of Poincare sections, via a set of appropriate canonical transformations. As is shown by numerical simulations, the existence of islands of regular motion around the vortices appears to be a generic feature of this system. The width of these islands is found to be proportional to the minimal distance attained by the vortices, bridging Lagrangian and Eulerian characteristics of the motion. Attention is drawn to the relevance of these results for all two-dimensional flows ruled by strong vorticity concentrations.

引用

页码：3749 / 3759

页数：11

共 18 条

[1] INTEGRABLE AND CHAOTIC MOTIONS OF 4 VORTICES [J].

AREF, H ;

POMPHREY, N .

PHYSICS LETTERS A, 1980, 78 (04) :297-300

[2] MOTION OF 3 VORTICES [J].

AREF, H .

PHYSICS OF FLUIDS, 1979, 22 (03) :393-400

[3] INTEGRABLE, CHAOTIC, AND TURBULENT VORTEX MOTION IN TWO-DIMENSIONAL FLOWS [J].

AREF, H .

ANNUAL REVIEW OF FLUID MECHANICS, 1983, 15 :345-389

[4] INTEGRABLE AND CHAOTIC MOTIONS OF 4-VORTICES .1. THE CASE OF IDENTICAL VORTICES [J].

AREF, H ;

POMPHREY, N .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 380 (1779) :359-387

[5]

Arnold V. I., 1978, Mathematical methods of classical mechanics

[6] CHAOTIC ADVECTION IN POINT VORTEX MODELS AND 2-DIMENSIONAL TURBULENCE [J].

BABIANO, A ;

BOFFETTA, G ;

PROVENZALE, A ;

VULPIANI, A .

PHYSICS OF FLUIDS, 1994, 6 (07) :2465-2474

[7] ON THE STATISTICAL PROPERTIES OF TWO-DIMENSIONAL DECAYING TURBULENCE [J].

BENZI, R ;

PATARNELLO, S ;

SANTANGELO, P .

EUROPHYSICS LETTERS, 1987, 3 (07) :811-818

[8]

BOFFETTA G, 1995, UNPUB J PHYS A

[9]

FRANZESE P, 1994, HEAT TRANSFER ENHANC

[10] ANGULAR MOMENTUM OF SUPERFLUID HELIUM IN A ROTATING CYLINDER [J].

HESS, GB .

PHYSICAL REVIEW, 1967, 161 (01) :189-&

← 1 2 →