Direct numerical simulations of the elliptic instability of a vortex pair

Physics of Fluids

Volumn 12, Issue 5, 2000, Pages 1016-1031

  Laporte, F ^a   Corjon, A ^a  

^a CERFACS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

INSTABILITY; MATHEMATICAL MODELING; VORTEX;

EID: 0034042993     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870357     Document Type: Article

References (28)

1. P. R. Spalart, "Airplane trailing vortices," Annu. Rev. Fluid Mech. 30, 107 (1998).
2. W. J. Devenport, M. C. Rife, S. I. Liapis, and G. J. Follin, "The structure and development of a wing-tip vortex," J. Fluid Mech. 312, 67 (1996).
3. T. Sarpkaya, "Decay of wake vortices of large aircraft," AIAA J. 36, 1671 (1998).
4. S. Ragab and M. Sreedhar, "Numerical simulation of vortices with axial velocity deficits," Phys. Fluids 7, 549 (1995).
5. S. C. Crow, "Stability theory for a pair of trailing vortices," AIAA J. 8, 2172 (1970).
6. J. D. Crouch, "Instability and transient growth for two trailing-vortex pairs," J. Fluid Mech. 350, 311 (1997).
7. S. E. Widnall, D. Bliss, and A. Zalay, "Theoretical and experimental study of the stability of a vortex pair," in Aircraft Wake Turbulence and its Detection, edited by J. H. Olsen et al. (Plenum, New York, 1971), p. 305.
8. T. Sarpkaya and P. Suthon, "Interaction of a vortex couple with a free surface," Exp. Fluids 11, 205 (1991).
9. P. J. Thomas and D. Auerbach, "The observation of the simultaneous development of a long and a short-wave instability mode on a vortex pair," J. Fluid Mech. 256, 289 (1994).
10. T. Leweke and C. H. K. Williamson, "Cooperative elliptic instability of a vortex pair," J. Fluid Mech. 360, 85 (1998).
11. S. E. Widnall, D. Bliss, and C-Y. Tsai, "The instability of short waves on a vortex ring," J. Fluid Mech. 66, 35 (1974).
12. D. W. Moore and P. G. Saffman, "The instability of a straight vortex filament in a strain field," Proc. R. Soc. London, Ser. A 346, 413 (1975).
13. C-Y. Tsai and S. E. Widnall, "The stability of short waves on a straight vortex filament in a weak externally imposed strain field," J. Fluid Mech. 73, 721 (1976).
14. A. C. Robinson and P. G. Saffman, "Three-dimensional stability of an elliptical vortex in a straining field," J. Fluid Mech. 142, 451 (1984).
15. R. T. Pierrehumbert, "Universal short wave instability of two-dimensional eddies in an inviscid fluid," Phys. Rev. Lett. 57, 2157 (1986).
16. B. J. Bayly, "Three-dimensional instability of elliptical flow," Phys. Rev. Lett. 57, 2160 (1986).
17. M. J. Landman and P. G. Saffman, "The three-dimensional instability of strained vortices in a viscous fluid," Phys. Fluids 30, 2339 (1987).
18. F. Waleffe, "On the three-dimensional instability of strained vortices," Phys. Fluids A 2, 76 (1990).
19. B. J. Bayly, S. A. Orszag, and T. Herbert, "Instability mechanisms in shear-flow transition," Annu. Rev. Fluid Mech. 20, 359 (1998).
20. C. Eloy and S. Le Dizès, "Instability of the Burgers and Lamb-Oseen vortices in a strain field," J. Fluid Mech. 378, 145 (1999).
21. P. Billant, P. Brancher, and J-M. Chomaz, "Three-dimensional stability of a vortex pair," Phys. Fluids 11, 2069 (1999).
22. P. Orlandi, G. F. Carnevale, S. K. Lele, and K. Shariff, "DNS study of stability of trailing vortices," in Proceedings of the Summer Program 1998, Center for Turbulence Research, Stanford University.
23. Centre de Recherche sur la Combustion Turbulente, Direct Numerical Simulations for Turbulent Reacting Flows, edited by T. Baritaud, T. Poinsot, and M. Baum, Editions Technip, ISBN 2-7108-0698-3 (1996).
24. S. K. Lele, "Compact finite difference schemes with spectral-like resolution," J. Comput. Phys. 103, 16 (1992).
25. D. Sipp, L. Jacquin, and C. Cossu, "Self-adaptation and viscous selection in concentrated 2D vortex dipoles," Phys. Fluids 12, 245 (1999).
26. H. Lamb, Hydrodynamics, 6th ed. (Dover, New York, 1945).
27. J. Jeong and F. Hussain, "On the identification of a vortex," J. Fluid Mech. 285, 69 (1995).
28. F. Risso, A. Corjon, and A. Stoessel, "Direct numerical simulations of wake vortices in intense homogeneous turbulence," AIAA J. 35, 1030 (1997).