Vortex motion in shallow water with varying bottom topography and zero Froude number

Journal of Fluid Mechanics

Volumn 411, Issue , 2000, Pages 351-374

  Richardson, G ^a,b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FROUDE NUMBER; INVISCID FLUID; SHALLOW WATER; TOPOGRAPHY; VORTEX;

EID: 0033928256     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099008393     Document Type: Article

References (19)

1. ALLEN, J. S., NEWBERGER, P. A. & HOLMAN, R. A. 1996 Nonlinear shear instabilities of alongshore currents on plane beaches. J. Fluid Mech. 310, 181-213.
2. BATCHELOR, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
3. BIDLOT, J. R. & STERN, M. E. 1994 Maintenance of continental boundary-layer shear flow through counter-gradient vorticity flux in a barotropic model. J. Fluid Mech. 271, 55-85.
4. CALLEGARI, A. J. & TING, L. 1978 Motion of a curved vortex filament with decaying vortical core and axial velocity. SIAM J. Appl. Maths 35, 148-175.
5. CAMMASA, R., HOLM, D. D. & LEVERMORE, C. D. 1996 Long-time effects of bottom topography in shallow water. Physica D 98, 258-286.
6. CHAPMAN, S. J. & RICHARDSON, G. 1997 Vortex pinning by inhomogeneities in type-II superconductors. Physica D 108, 397-407.
7. COUDER, Y. & BASDENVANT, C. 1986 Experimental and numerical study of vortex couples in two dimensional flows. J. Fluid Mech. 173, 225-251.
8. GRIMSHAW, R. & YI, Z. X. 1991 Evolution of a potential vorticity front over a topographic slope. J. Phys. Oceanogr. 21, 1240-1255.
9. HAMM, L., MASDEN, P. A. & PEREGRINE, D. H. 1993 Wave transformations in the nearshore zone: a review. Coastal Engng 21, 5-39.
10. MARIOTTI, A., LEGRAS, B. & DRITSCHEL, D. G. 1994 Vortex stripping and the erosion of coherent vortex structures in two-dimensional flows. Phys. Fluids 6, 3954-3962.
11. MOORE, D. W. & SAFFMAN, P. G. 1972 The motion of a vortex filament with axial flow. Phil. Trans. R. Soc. Lond. A 272, 403-429.
12. OLTMAN-SHAY, J., HOWD, P. A. & BIRKEMEIER, W. A. 1989 Shear instabilities of the mean longshore current 2. field observations. J. Geophys. Res. 94, C12, 18031-18042.
13. PEREGRINE, D. H. 1995 Vorticity and eddies in the surf zone. Proc. Coastal Dynamics, Gyndia.
14. REZNIK, G. M. & DEWAR, W. K. 1994 An analytic theory of distributed axisymmetric barotropic vortices on the β-plane. J. Fluid Mech. 269, 301-321.
15. SLINN, D. N., ALLEN, J. S., NEWBERGER, P. A. & HOLMAN, R. A. 1998 Nonlinear shear band instabilities of alongshore currents over barred beaches. J. Geophys. Res. 103, C9, 18357-18379.
16. SIGNELL, R. P. & GEYER, W. R. 1991 Transient eddy formation around headlands. J. Geophys. Res. 96, C2, 2561-2575.
17. SUTYRIN, G. G. & FLEIRL, G. R. 1994 Intense vortex motion on the β plane: development of β-gyres. J. Atmos. Sci. 51, 773-790.
18. VAN DYKE, M. 1975 Perturbation Methods in Fluid Dynamics, § 5. Parabolic Press.
19. VAN DYKE, M. 1982 An Album of Fluid Motion. Parabolic Press.