The onset of chaos in vortex sheet flow

Journal of Fluid Mechanics

Volumn 454, Issue , 2002, Pages 47-69

  Krasny, Robert ^a   Nitsche, Monika ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DEFORMATION; HAMILTONIANS; OSCILLATIONS; SPECTRUM ANALYSIS; WAKES;

VOREX SHEET FLOW;

VORTEX FLOW;

AXISYMMETRIC FLOW; CHAOS; VORTEX SHEET;

EID: 0037051412     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112001007066     Document Type: Article

References (48)

1. A vortex method for flows with slight density variations
2. Integrable, chaotic and turbulent vortex motion in two-dimensional flows
3. Stirring by chaotic advection
4. Heteroclinic orbits and chaotic dynamics in planar fluid flows
5. Heteroclinic and Taylor instability
6. Regularized vortex sheet evolution in three dimensions
7. The collapse of an axi-symmetric, swirling vortex sheet
8. Discretization of a vortex sheet, with an example of roll-up
9. Experimental and numerical study of vortex couples in two-dimensional flows
10. Vortex structure and dynamics in the near field of a coaxial jet
11. Motion of an elliptical vortex under applied periodic strain
12. A fast algorithm for vortex blob interactions
13. The formation of vortex rings
14. The dynamics of elliptically shaped regions of uniform vorticity in time-periodic, linear external velocity fields
15. Motion of an elliptic vortex in a uniform shear flow
16. A study of singularity formation in a vortex sheet by the point-vortex approximation
17. Computation of vortex sheet roll-up in the Trefftz plane
18. Vortex rings
19. A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow
20. Axisymmetric vortex breakdown. Part 3. Onset of periodic flow and chaotic advection
21. Quantifying transport in numerically generated velocity fields
22. Relaxation in two dimensions and the "sinh-Poisson" equation
23. The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
24. The velocity of a vortex ring with a thin core of elliptical cross-section
25. Structure of a line vortex in an imposed strain
26. The dynamics of a columnar vortex in an imposed strain
27. Core dynamics in vortex pairs and rings
28. A numerical study of vortex ring formation at the edge of a circular tube
29. Chaotic Lagrangian trajectories around an elliptical vortex patch embedded in a constant and uniform background shear flow
30. Theoretical and computational aspects of the self-induced motion of three-dimensional vortex sheets
31. The large-scale structure of unsteady self-similar rolled-up vortex sheets
32. An analytical study of transport, mixing and chaos in an unsteady vortical flow
33. Numerical computation of a three-dimensional vortex sheet in a swirl flow
34. Vortex rings
35. Dynamics of a class of vortex rings
36. A numerical study of three-dimensional vortex ring instabilities: Viscous corrections and early nonlinear stage
37. Airplane trailing vortices
38. Oscillatory flow states in an enclosed cylinder with a rotating endwall
39. Unsteady evolutions of vortex rings
40. Mechanism of sound radiation by a turbulent vortex ring
41. Sound radiation by a turbulent vortex ring