The evolution of an initially circular vortex near an escarpment. Part I: analytical results

Ambramowitz, 1972 Beismann, 1991, On the influence of submarine ridges on translation and stability of agulhas rings, J. Geophys. Res., 104, 7897, 10.1029/1998JC900127 Bender, 1978 Dritschel, 1988, Contour surgery: a topological reconnection scheme for extended integrations using contour dynamics, J. Comput. Phys., 77, 240, 10.1016/0021-9991(88)90165-9 Dritschel, 1997, A contour-advective semi-Lagrangian numerical algorithm for simulating fine-scale conservative dynamical fields, Q. J. R. Met. Soc., 123, 1097, 10.1002/qj.49712354015 D.C. Dunn, The motion of an initially circular vortex near an escarpment. Part II: numerical results, J. Eur. Mech. B Fluids (2002), submitted Dunn, 2001, The motion of a singular vortex near an escarpment, J. Fluid Mech., 448, 335, 10.1017/S0022112001006115 Gradshteyn, 1980 Johnson, 1984, Starting flow for an obstacle moving transversely in a rapidly rotating fluid, J. Fluid Mech., 149, 71, 10.1017/S0022112084002548 Johnson, 1990, Free-surface adjustment and topographic waves in coastal currents, J. Fluid Mech., 219, 273, 10.1017/S0022112090002944 Lam, 2001, On the beta-drift of an initially circular vortex patch, J. Fluid Mech., 436, 107, 10.1017/S0022112001003974 Llewellyn-Smith, 1997, The motion of a non-isolated vortex on the beta-plane, J. Fluid Mech., 346, 149, 10.1017/S0022112097006290 McDonald, 1992, Topographic dispersal of bottom water, J. Phys. Ocean., 23, 954, 10.1175/1520-0485(1993)023<0954:TDOBW>2.0.CO;2 McDonald, 1998, Motion of an intense vortex near topography, J. Fluid Mech., 367, 359, 10.1017/S0022112098001554 Pierrehumbert, 1980, A family of steady, translating vortex pairs with distributed vorticity, J. Fluid Mech., 99, 129, 10.1017/S0022112080000559 Reznik, 1998, On the long term evolution of an intense localised divergent vortex on the β-plane, J. Fluid Mech., 422, 249, 10.1017/S0022112000001750 Richardson, 1998, Meddy trajectories in the canary basin, J. Geophys. Res., 103, 25029, 10.1029/97JC02579 Stern, 2000, Scattering of an eddy advected by a current towards a topographic obstable, J. Fluid Mech., 402, 211, 10.1017/S0022112099006795 Sutyrin, 1994, Intense vortex motion on the beta plane: development of the beta gyres, J. Atmos. Sci., 51, 773, 10.1175/1520-0469(1994)051<0773:IVMOTB>2.0.CO;2 Whitham, 1974 Zavala Sanson, 2000, Reflection of barotropic vortices from a step-like topography, Nuovo Cimento C, 22, 909