Vortex erosion in a shallow-water model

Physics of Fluids

Volumn 16, Issue 8, 2004, Pages 3079-3085

  Louazel, S ^a   Hua, B L ^b  

^a EPSHOM   (France)

^b Laboratoire d'Océanographie Physique et Satellite   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EROSION; GRAVITY WAVES; MATHEMATICAL MODELS; WATER;

EDDIES; FILAMENTATION;

VORTEX FLOW;

POTENTIAL VORTICITY; SHALLOW WATER; VORTEX FLOW;

EID: 4344563806     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1767543     Document Type: Article

References (31)

1. S. Kida, "Motion of an elliptic vortex in a uniform shear flow," J. Phys. Soc. Jpn. 50, 3517 (1981).
2. A. Mariotti, B. Legras, and D. G. Dritschel, "Vortex stripping and the erosion of coherent structures in two-dimensional flows," Phys. Fluids A 6, 3954 (1994).
3. D. G. Dritschel, P. H. Haynes, M. N. Juckes, and T. G. Shepherd, "The stability of a two-dimensional vorticity filament under uniform strain," J. Fluid Mech. 230, 647 (1991).
4. M. V. Melander, J. C. McWilliams, and N. J. Zabusky, "Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation," J. Fluid Mech. 178, 137 (1987).
5. L. M. Polvani, G. R. Flierl, and N. J. Zabusky, "Filamentation of unstable vortex structures via separatrix crossing: A quantitative estimate of onset time," Phys. Fluids A 1, 181 (1989).
6. Y. Kimura and J. R. Herring, "Gradient enhancement and filament ejection for nonuniform elliptic vortex in 2D turbulence," J. Fluid Mech. 439, 43 (2001).
7. W. K. Dewar and P. D. Killworth, "Do fast gravity waves interact with geostrophic motions?" Deep-Sea Res., Part I 42, 1063 (1995).
8. P. Bartello, "Geostrophic adjustment and inverse cascades in rotating stratified turbulence," J. Atmos. Sci. 52, 4410 (1995).
9. M. Farge and R. Sadourny, "Wave-vortex dynamics in rotating shallow water," J. Fluid Mech. 206, 443 (1989).
10. O. Bühler and M. E. McIntyre, "On non-dissipative wave-mean interactions in the atmosphere or oceans," J. Fluid Mech. 354, 301 (1998).
11. O. Bühler, "On the vorticity transport due to dissipating or breaking waves in shallow-water flow," J. Fluid Mech. 407, 235 (2000).
12. A. Okubo, "Horizontal dispersion of floatable particles in the vicinity of velocity singularities such as convergences," Deep-Sea Res. 17, 445 (1970).
13. J. Weiss, "The dynamics of enstrophy transfer in two-dimensional hydrodynamics," Physica D 48, 273 (1991).
14. X. Carton, L. Chérubin, J. Paillet, Y. Morel, A. Serpette, and B. Le Cann, "Meddy coupling with a deep cyclone in the Gulf of Cadiz," J. Mar. Syst. 32, 13 (2002).
15. S. R. Maassen, H. J. H. Clercx, and G. J. F. van Heijst, "Self-organization of quasi-two-dimensional turbulence in stratified fluids in square and circular containers," Phys. Fluids 14, 2150 (2002).
16. S. Herbette, Y. Morel, and M. Arhan, "Erosion of a surface vortex by a seamount," J. Phys. Oceanogr. 33, 1664 (2003).
17. B. L. Hua and P. Klein, "An exact criterion for the stirring properties of nearly two-dimensional turbulence," Physica D 113, 98 (1998).
18. G. Lapeyre, P. Klein, and B. L. Hua, "Does the tracer gradient vector align with the strain eigenvectors in 2D turbulence?" Phys. Fluids 11, 3729 (1999).
19. P. Klein, B. L. Hua, and G. Lapeyre, "Alignment of tracer gradient vectors in 2D turbulence," Physica D 146, 246 (2000).
20. G. Rivière, B. L. Hua, and P. Klein, "Perturbation growth in terms of barotropic alignment properties," Q. J. R. Meteorol. Soc. 129, 2613 (2003).
21. D. N. Straub, "Instability of 2D flows to hydrostatic 3D perturbations," J. Atmos. Sci. 60, 79 (2003).
22. G. Haller, "Lagrangian coherent structures and the rate of strain in two-dimensional turbulence," Phys. Fluids 13, 3365 (2001).
23. T. Y Koh and B. Legras, "Hyperbolic trajectories and the Antarctic polar vortex," Chaos 12, 382 (2002).
24. R. Bleck and D. Boudra, "Wind driven spin-up in eddy-resolving ocean models formulated in isopycnic and isobaric coordinates," J. Geophys. Res., [Atmos.] 91, 7611 (1986).
25. G. K. Vallis, "Potential vorticity inversion and balanced equations of motion for rotating and stratified flows," Q. J. R. Meteorol. Soc. 122, 291 (1996).
26. M. E. McIntyre and W. A. Norton, "Potential vorticity inversion on a hemisphere," J. Atmos. Sci. 57, 1214 (1999).
27. A. R. Mohebalhojeh, "On shallow water potential vorticity inversion by Rossby number expansions," Q. J. R. Meteorol. Soc. 128, 679 (2002).
28. T. O. Warn, O. Bokhove, T. G. Shepherd, and G. K. Vallis, "Rossby number expansions, slaving principles, and balance dynamics," Q. J. R. Meteorol. Soc. 121, 723 (1995).
29. D. J. Muraki, C. Snyder, and R. Rotunno, "The next-order corrections to quasi-geostrophic theory," J. Atmos. Sci. 56, 1547 (1999).
30. A. R. Mohebalhojeh and D. G. Dritschel, "Hierarchies of balance conditions for the f-plane shallow water equations," J. Atmos. Sci. 58, 2411 (2001).
31. B. L. Hua, J. C. McWilliams, and P. Klein, "Lagrangian accelerations in geostrophic turbulence," J. Fluid Mech. 366, 87