On the persistence of non-axisymmetric vortices in inviscid two-dimensional flows

Journal of Fluid Mechanics

Volumn 371, Issue , 1998, Pages 141-155

  Dritschel, David G ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID MECHANICS; NUMERICAL METHODS; ROTATIONAL FLOW; SHEAR FLOW;

AXISYMMETRIZATION; INVISCID TWO DIMENSIONAL FLOW; NON AXISYMMETRIC VORTICES;

VORTEX FLOW;

EID: 0032154777     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098002080     Document Type: Article

References (29)

1. BASSOM, A. P. & GILBERT, A. D. 1998 The spiral wind-up of vorlicity in an inviscid planar vortex. J. Fluid Mech. 371 109-140.
2. BRANDS, H. 1998 PhD Thesis, University of Amsterdam (in preparation).
3. CHEN, P. & CROSS, M. C. 1996 Mixing and thermal equilibrium in the dynamical relaxation of a vortex ring. Phys. Rev. Lett. 77, 4174-4177.
4. DIBATTISTA, M. T. & POLVANI, L. M. 1998 Barotropic vortex pairs on a rotating sphere. J. Fluid Mech. 358, 107-133.
5. DRITSCHEL, D. G. 1989a Contour dynamics and contour surgery: numerical algorithms for extended, high-resolution modelling of vortex dynamics in two-dimensional, inviscid, incompressible flows. Comput. Phys. Rep. 10, 77-146.
6. DRITSCHEL, D. G. 1989b Strain-induced vortex stripping. In Mathematical Aspects of Vortex Dynamics (ed. R. E. Caflisch), pp. 107-119, SIAM.
7. DRITSCHEL, D. G. 1993 Vortex properties of two-dimensional turbulence. Phys. Fluids A 5, 984-997.
8. DRITSCHEL, D. G. 1995 A general theory for two-dimensional vortex interactions. J. Fluid Mech. 293, 269-303.
9. DRITSCHEL, D. G. & AMBAUM, M. H. P. 1997 A contour-advective semi-Lagrangian algorithm for the simulation of fine-scale conservative fields. Q. J. R. Met. Soc. 123, 1097-1130.
10. DRITSCHEL, D. G. & LEGRAS, B. 1991 The elliptical model of two-dimensional vortex dynamics. Part II: disturbance equations. Phys. Fluids A 3, 855-868.
11. DRITSCHEL, D. G., POLVANI, L. M. & MOHEBALHOJEH, A. R. 1998a The contour-advective semi-Lagrangian algorithm for the shallow water equations. Mon. Wea. Rev. (in press).
12. DRITSCHEL, D. G., TORRE JUÁREZ, M. DE LA & AMBAUM, M. H. P. 1998b The three-dimensional vortical nature of atmospheric and oceanic turbulent flows. Phys. Fluids (submitted).
13. GOTTLIEB, D. & ORSZAG, S. A. 1977 Numerical Analysis of Spectral Methods: Theory and Applications. SIAM.
14. KIRCHHOFF, G. 1876 Vorlesungen über mathematische Physik. Leipzig: Mechanik.
15. KOUMOUTSAKOS, P. 1998 Inviscid axisymmetrization of an elliptical vortex. J. Comput. Phys. 138, 821-857.
16. LEGRAS, B. & DRITSCHEL, D. G. 1993a Vortex stripping and the generation of high vorlicity gradients in two-dimensional flows. Appl. Sci. Res. 51, 445-455.
17. LEGRAS, B. & DRITSCHEL, D. G. 1993b A comparison of the contour surgery and pseudo-spectral methods. J. Comput. Phys. 104, 287-302.
18. LOVE, A. E. H. 1893 On the stability of certain vortex motions. Proc. Lond. Math. Soc. 35, 18.
19. MARIOTTI, A., LEGRAS, B. & DRITSCHEL, D. G. 1994 Vortex stripping and the erosion of coherent structures in two-dimensional flows. Phys. Fluids 6, 3954-3962.
20. MCWILLIAMS, J. C. 1984 The emergence of isolated coherent vortices in turbulent flow. J. Fluid Mech. 146, 21-43.
21. MCWILLIAMS, J. C. 1990 The vortices of two-dimensional turbulence. J. Fluid Mech. 219, 361-385.
22. MELANDER, M. V., MCWILLIAMS, J. C. & ZABUSKY, N. J. 1987 Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation. J. Fluid Mech. 178, 137-159.
23. MILLER, J. 1990 Statistical mechanics of Euler equations in two dimensions. Phys. Rev. Lett. 65, 2137-2140.
24. ROBERT, R. 1991 A maximum-entropy principle for two-dimensional perfect fluid dynamics. J. Statist. Phys. 65, 531-553.
25. SOMMERIA, J., STAQUET, C. & ROBERT, R. 1991 Final equilibrium state of a two dimensional shear layer. J. Fluid Mech. 233, 661-689.
26. TURKINGTON, B. 1998 Statistical equilibrium measures and coherent states in two-dimensional turbulence. Comm. Pure Appl. Math. (submitted).
27. WHITAKER, N. & TURKINGTON, B. 1994 Maximum entropy states for rotating vortex patches. Phys. Fluids 6, 3963-3973.
28. YAO, H. B., DRITSCHEL, D. G. & ZABUSKY, N. J. 1995 High-gradient phenomena in 2D vortex interactions. Phys. Fluids 7, 539-548.
29. YAO, H. B. & ZABUSKY, N. J. 1996 Axisymmetrization of an isolated vortex region by splitting and partial merging of satellite depletion perturbations. Phys. Fluids 8, 1842-1847.