Short-wavelength instability of a vortex in a multipolar strain field

Physics of Fluids

Volumn 11, Issue 2, 1999, Pages 500-502

  Le Dizès, Stéphane ^a   Eloy, Christophe ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 6244280502     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869872     Document Type: Article

References (14)

1. R. T. Pierrehumbert, "Universal short-wave instability of two-dimensional eddies in an inviscid fluid," Phys. Rev. Lett. 57, 2157 (1986).
2. B. J. Bayly, "Three-dimensional instability of elliptical flow," Phys. Rev. Lett. 57, 2160 (1986).
3. B. J. Bayly, S. A. Orszag, and T. Herbert, "Instability mechanisms in shear-flow transition," Annu. Rev. Fluid Mech. 20, 359 (1988).
4. T. Leweke and C. H. K. Williamson, "Three-dimensional instabilities in wake transition," Eur. J. Mech. B/Fluids 17, 571 (1998).
5. M. J. Landman and P. G. Saffman, "The three-dimensional instability of strained vortices in a viscous fluid," Phys. Fluids 30, 2339 (1987).
6. T. Leweke and C. H. K. Williamson, "Cooperative elliptic instability of a vortex pair," J. Fluid Mech. 360, 85 (1998).
7. F. Waleffe, "On the three-dimensional instability of strained vortices," Phys. Fluids A 2, 76 (1990).
8. A. Lifschitz and E. Hameiri, "Local stability conditions in fluid dynamics," Phys. Fluids A 3, 2644 (1991).
9. R. R. Lagnado, N. Phan-Thien, and L. G. Leal, "The stability of two-dimensional linear flows," Phys. Fluids 27, 1094 (1984).
10. S. Friedlander and M. Vishik, "Instability criteria for steady flows of a perfect fluid," Phys. Rev. Lett. 66, 2204 (1991).
11. B. J. Bayly, D. D. Holm, and A. Lifschitz, "Three-dimensional stability of elliptical vortex columns in external strain flows," Philos. Trans. R. Soc. London, Ser. A 354, 895 (1996).
12. D. Sipp and L. Jacquin, "Elliptic instability in 2-D flattened Taylor-Green vortices," Phys. Fluids 10, 839 (1998).
13. S. Leblanc, "Stability of stagnation points in rotating flows," Phys. Fluids 9, 3566 (1997).
14. S. Le Dizès, M. Rossi, and H. K. Moffatt, "On the three-dimensional instability of elliptical vortex subjected to stretching," Phys. Fluids 8, 2084 (1996).