On the three-dimensional instability of elliptical vortex subjected to stretching

Physics of Fluids

Volumn 8, Issue 8, 1996, Pages 2084-2090

  Le Dizes S ^a   Rossi, M ^b   Moffatt, H K ^c,d  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b SORBONNE UNIVERSITÉ   (France)

^c ECOLE POLYTECHNIQUE   (France)

^d UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

INSTABILITY; VORTICES;

EID: 0030481948     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868982     Document Type: Article

References (16)

1. O. Cadot, S. Douady, and Y. Couder, "Characterrization of the low pressure filaments in three-dimensional turbulent shear flow," Phys. Fluids 7, 630 (1995).
2. A. Vincent and M. Meneguzzi, "The spatial structure and statistical properties of homogeneous turbulence," J. Fluid Mech. 225, 1 (1991).
3. S. Kida, "Tube-like structures in turbulence," Lecture Notes Num. Appl. Anal. 12, 137 (1993).
4. K. Yamamoto and I. Hosokawa, "A decaying isotropic tuebulence pursued by the spectral method," J. Phys. Soc. Jpn. 57, 1532 (1988).
5. H. K. Moffatt, S. Kida, and K. Ohkitani, "Stretched vortices - the sinews of turbulence; large-Reynolds-number asymptotics," J. Fluid Mech. 259, 241 (1994).
6. R. T. Pierrechumbert, "Universal short-wave instability of two-dimensional eddies in an inviscid fluid," Phys. Rev. Lett. 57, 2157 (1986).
7. B. Bayly, "Three-dimensional Instability of Elliptical Flow," Phys. Rev. Lett. 57, 2160 (1986).
8. F. Waleffe, "On the three-dimensional instbility of strained vortices," Phys. Fluids A 2, 76 (1990).
9. M. J. Landman and P. G. Saffman, "The three-dimensional instability of strained vortices in a viscous fluid," Phys. Fluids 30, 2339 (1987).
10. A. Lifschitz and E. Hameiri, "Local stability conditions in fluid dynamics," Phys. Fluids A 3, 2644 (1987).
11. A. D. D. Craik and H. R. Allen, "The stability of three-dimensional timeperiodic flows with spatially uniform strain rates," J. Fluids Mech. 234, 613 (1992).
12. A. D. D. Craik, "The stability of unbounded two- and three-dimensional flows subject to body forces: Some exact," J. Fluid Mech. 198, 275 (1989).
13. T. Miyazaki and Y. Fukumoto, "Three-dimensional instability of strained vortices in stably stratified fluid," Phys. Fluids A 4, 2515 (1992).
14. T. Miyazaki, "Elliptical instability in a stably stratified rotation fluid," Phys. Fluids A 5, 2702 (1993).
15. C. M. Bender and S. A. Orszag. Advanced Mathematical Methods for Science and Engineers (McGraw-Hill, New 1978).
16. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).