Relationship between corotating vortex-pair equilibria and a single vortex in an external deformation field

Physics of Fluids

Volumn 17, Issue 7, 2005, Pages 1-7

  Ehrenstein, Uwe ^a   Le Dizès, Stéphane ^b  

^a UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

^b AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; MATHEMATICAL MODELS; STRAIN RATE;

CO-ROTATION; DEFORMATION FIELDS; STAGNATION POINTS; VORTEX PAIRS;

VORTEX FLOW;

VORTEX;

EID: 23044488129     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1949192     Document Type: Article

References (18)

1. R. R. Kerswell, "Elliptical instability," Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.34.081701.171829 34, 83 (2002).
2. H. K. Moffatt, S. Kida, and K. Ohkitani, "Stretched vortices - the sinews of turbulence; large-Reynolds-number asymptotics," J. Fluid Mech. JFLSA7 0022-1120 259, 241 (1994).
3. S. Le Dizès, "Non-axisymmetric vortices in two-dimensional flows," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112099007326 406, 175 (2000).
4. S. Le Dizès and A. Verga, "Viscous interactions of two co-rotating vortices before merging," J. Fluid Mech. JFLSA7 0022-1120 467, 389 (2002).
5. D. Moore and P. Saffman, "Structure of a line vortex in an imposed strain," in Aircraft Wake Turbulence and its Detection, edited by J. Olsen, A. Goldberg, and N. Rogers (Plenum, New York, 1971).
6. S. Kida, "Motion of an elliptic vortex in a uniform shear flow," J. Phys. Soc. Jpn. JUPSAU 0031-9015 50, 3517 (1981).
7. B. Legras and D. G. Dritschel, "Vortex stripping and the generation of high vorticity gradients in two-dimensional flows," Appl. Sci. Res. ASRHAU 0003-6994 10.1007/BF01082574 51, 445 (1993).
8. B. Legras, D. G. Dritschel, and P. Caillou, "The erosion of a distributed two-dimensional vortex in a background straining flow," J. Fluid Mech. JFLSA 70022-1120 10.1017/S0022112000001683 441, 369 (2001).
9. P. G. Saffman and R. Szeto, "Equilibrium shapes of a pair of equal uniform vortices," Phys. Fluids PFLDAS 0031-9171 10.1063/1.862935 23, 2339 (1980).
10. D. G. Dritschel, "The stability and energetics of corotating uniform vortices," J. Fluid Mech. JFLSA7 0022-1120 157, 95 (1985).
11. M. V. Melander, N. J. Zabusky, and J. C. McWilliams, "Symmetric vortex merger in two dimensions: Causes and conditions," J. Fluid Mech. JFLSA7 0022-1120 195, 303 (1988).
12. P. Meunier and T. Leweke, "Three-dimensional instability during vortex merging," Phys. Fluids PHFLE6 1070-6631 10.1063/1.1399033 13, 2747 (2001).
13. C. Cerretelli and C. H. K. Williamson, "The physical mechanism of vortex merging," J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112002002847 475, 41 (2003).
14. P. Meunier, U. Ehrenstein, T. Leweke, and M. Rossi, "A merging criterion for two-dimensional co-rotating vortices," Phys. Fluids PHFLE6 1070-6631 10.1063/1.1489683 14, 2757 (2002).
15. U. Ehrenstein and M. Rossi, "Equilibria of corotating nonuniform vortices," Phys. Fluids PHFLE6 1070-6631 10.1063/1.870200 11, 3416 (1999).
16. A. Mariotti, B. Legras, and D. Dritschel, "Vortex stripping and the erosion of coherent structures in two-dimensional flows," Phys. Fluids PHFLE 61070-6631 10.1063/1.868385 6, 3954 (1994).
17. C. Cerretelli and C. H. K. Williamson, "A new family of uniform vortices related to vortex configurations before merging," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112003005536 493, 219 (2003).
18. S. Le Dizès and F. Laporte, "Theoretical predictions for the elliptical instability in a two-vortex flow," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112002002185 471, 169 (2002).