On vortex rings around vortices: An optimal mechanism

Journal of Fluid Mechanics

Volumn 578, Issue , 2007, Pages 295-304

  Antkowiak, Arnaud ^a,b   Brancher, Pierre ^a  

^a IMFT   (France)

^b AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC TURBULENCE; CORIOLIS FORCE; OPTIMIZATION; PERTURBATION TECHNIQUES; VELOCITY;

HYDRODYNAMIC NOISE; VELOCITY STREAK; VORTEX RING;

VORTEX FLOW;

ATMOSPHERIC TURBULENCE; CORIOLIS FORCE; OPTIMIZATION; PERTURBATION TECHNIQUES; VELOCITY; VORTEX FLOW;

CORIOLIS FORCE; VORTEX FLOW; VORTICITY;

EID: 34548167797     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007005198     Document Type: Article

References (28)

1. ANTKOWIAK, A. 2005 Dynamique aux temps courts d'un tourbillon isolé. PhD thesis, Université Paul Sabatier, Toulouse, France.
2. ANTKOWIAK, A. & BRANCHER, P. 2004 Transient energy growth for the Lamb-Oseen vortex. Phys. Fluids 16 (1), L1-L4.
3. BATCHELOR, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
4. BENINATI, M. L. & MARSHALL, J. S. 2005 An experimental study of the effect of free-stream turbulence on an trailing vortex. Exps. Fluids 38, 244-257.
5. CORBETT, P. & BOTTARO, A. 2001 Optimal linear growth in swept boundary layers. J. Fluid Mech. 435, 1-23.
6. DEVENPORT, W. J., RIFE, M. C., LIAPIS, S. I. & FOLLIN, G. J. 1996 The structure and development of a wing-tip vortex. J. Fluid Mech. 312, 67-106.
7. ELLINGSEN, T. & PALM, E. 1975 Stability of linear flow. Phys. Fluids 18 (4), 487-488.
8. FABRE, D., SIPP, D. & JACQUIN, L. 2006 The Kelvin waves of a Lamb-Oseen vortex. J. Fluid Mech. 551, 235-274.
9. FARRELL, B. F. & IOANNOU, P. J. 1993 Stochastic forcing of the linearized Navier-Stokes equations. Phys. Fluids 5 (11), 2600-2609.
10. FORNBERG, B. 1995 A Practical Guide to Pseudospectral Methods Cambridge University Press.
11. GALLAIRE, F. & CHOMAZ, J.-M. 2003 Three-dimensional instability of isolated vortices. Phys. Fluids 15 (8), 2113 2126.
12. JACQUIN, L., FABRE, D., SIPP, D. & COUSTOLS, E. 2005 Unsteadiness, instability and turbulence in trailing vortices. C. R. Physique 6, 399-414.
13. KAWAHARA, G., KIDA, S., TANAKA, M. & YANASE, S. 1997 Wrap, tilt and stretch of vortex lines around a strong thin straight vortex tube in a simple shear flow. J. Fluid Mech. 353, 115-162.
14. KERSWELL, R. R. 2002 Elliptical instability. Annu. Rev. Fluid Mech. 34, 83-113.
15. KERSWELL, R. R. & DAVEY, A. 1996 On the linear instability of elliptic pipe flow. J. Fluid Mech. 316, 307-324.
16. LANDAHL, M. T. 1975 Wave breakdown and turbulence. SIAM J. Appl. Maths 28 (4), 735-756.
17. LUCHINI, P. 1996 Reynolds-number-independent instability of the boundary layer over a flat surface. J. Fluid Mech. 327, 101-115.
18. MARSHALL, J. S. 1998 A model of heavy particle dispersion by organized vortex structures wrapped around a columnar vortex core. Phys. Fluids 10 (12), 3236-3238.
19. MELANDER, M. V. & HUSSAIN, F. 1993 Coupling between a coherent structure and fine-scale turbulence. Phys. Rev. E 48 (4), 2669-2689.
20. MIYAZAKI, T. & HUNT, J. C. R. 2000 Linear and nonlinear interactions between a columnar vortex and external turbulence. J. Fluid Mech. 402, 349-378.
21. MOET, H., LAPORTE, F., CHEVALIER, G. & POINSOT, T. 2005 Wave propagation in vortices and vortex bursting. Phys. Fluids 17 054109.
22. NOLAN, D. S. & FARRELL, B. F. 1999 Generalized stability analyses of asymmetric disturbances in one- and two-celled vortices maintained by radial inflow. J. Atmos. Sci. 56, 1282-1307.
23. PRADEEP, D. S. & HUSSAIN, F. 2006 Transient growth of perturbations in a vortex column. J. Fluid Mech. 550, 251-288.
24. SCHMID, P. J. & HENNINGSON, D. S. 2001 Stability and Transition in Shear Flows. Springer.
25. SMITH, G. B. & MONTGOMERY, M. T. 1995 Vortex axisymmetrization: Dependance on azimuthal wave-number or asymmetric radial structure changes. Q. J. R. Meteorol. Soc. 121, 1615-1650.
26. SPALART, P. R. 1998 Airplane trailing vortices. Annu. Rev. Fluid Mech. 30, 107-138.
27. STAFFORD, N. 2006 Turbulent times. Nature 443, 385.
28. WEIDEMAN, J. A. C. & REDDY, S. C. 2000 A MATLAB differentiation matrix suite. ACM Trans. Math. Soft. 26 (4), 465-519.