Hydrodynamical Modeling Of Oceanic Vortices

• Arai, M. and Yamagata, T.: 1994, Aysmmetric evolution of eddies in shallow water, Chaos 4(2), 163–175.

  Google Scholar 

• Aref, H. and Siggia, E.D.: 1981, Evolution and breakdown of a vortex street in two dimensions, J. Fluid Mech. 109, 435–463.

  Google Scholar 

• Armi, L., Hebert, D., Oakey, N., Price, J.F., Richarson, P.L., Rossby, T.M., and Ruddick, B.: 1989), Two years in the life of a Mediterranean salt lens, J. Phys. Oceanogr. 19, 354–370.

  Google Scholar 

• Arnol'd, V.I.: 1965, Conditions for nonlinear stability of stationary plance curvilinear flows of an ideal fluid, Dokl. Akad. Nauk SSSR, 162, 975–978, (Engl. transl. Sov. Math. Dokl. 6, 773–777, 1965).

  Google Scholar 

• Arnol'd, V.I.: 1966, Over an a priori estimate in the theory of hydrodynamic stability, Izv. Uchebn. Zaved. Mat. 54(5), 3–5 (Engl. transl. Am. Math. Soc. Transl. Series 2 79, 267–269, 1969).

  Google Scholar 

• Babiano A, Basdevant, C., Le Roy, P., and Sadourny, R.: 1990, Relative dispersion in twodimensional turbulence, J. Fluid Mech. 214, 535–557.

  Google Scholar 

• Barnier, B., Hua, B.L., and Le Provost, C.: 1991, On the catalytic role of high baroclinic modes in eddy-driven large-scale circulation, J. Phys. Oceanogr. 21, 976–997.

  Google Scholar 

• Barth, J.A.: 1994, Short-wavelength instabilities on coastal jets and fronts, J. Geophys. Res. 99(C8), 16095–16115.

  Google Scholar 

• Basdevant, C., Legras, B., Sadourny, R., and Beland, M.: 1981, A study of barotropic model flows: intermittency, waves and predictability, J. Atmos. Sci. 38, 2305–2326.

  Google Scholar 

• Batchelor, G.K.: 1967, An Introduction to Fluid Dynamics, Cambridge University Press, London.

  Google Scholar 

• Batchelor, G.K.: 1969, Computation of the energy spectrum in homogeneous two-dimensional turbulence, Phys. Fluids Suppl. 12(II), I233–239.

  Google Scholar 

• Beckmann, A.: 1988, Vertical structure of midlatitude mesoscale instabilities, J. Phys. Oceanogr. 18, 1354–1371.

  Google Scholar 

• Bell, G.I.: 1991, The nonlinear evolution of a perturbed axisymmetric eddy. Preprint, WHOI.

• Benzi, R., Patarnello, S., and Santangelo, P.: 1988, Self-similar coherent structures in twodimensional decaying turbulence, J. Phys. A: Math. gen. 21, 1221–1237.

  Google Scholar 

• Benzi, R., Briscolini, M., Colella, M., and Santangelo, P.: 1992, A simple point vortex model for two-dimensional decaying turbulence, Phys. Fluids, A, 4, 1036–039.

  Google Scholar 

• Berkvens, P.J.F.: 1991, Construction of modons and their relevance to atmospheric blocking: a review of earlier results, In Coherent Vortex Structures in Geophysical Fluid Dynamics, R 91-7, Lecture notes of seminars at the IMO, University of Utrecht, The Netherlands, 231–252.

  Google Scholar 

• Bertrand, C. and Carton, X.J.: 1993, Vortex merger on the beta-plane, Compte-Rendus Acad. Sc. Paris 316(II), 1201–1206.

  Google Scholar 

• Boss, E., Paldor, N., and Thomson, L.: 1996, Stability of a potential vorticity front: from quasigeostrophy to shallow-water, J. Fluid Mech. 315, 65–84.

  Google Scholar 

• Bower, A.S., Armi, L., and Ambar, I.: 1995, Direct evidence of meddy formation off the southwestern coast of Portugal, Deep-Sea Res. I 42, 1621–1630.

  Google Scholar 

• Bretherton, F.P.: 1966, Baroclinic instability and the short wavelength cut-off in terms of potential vorticity, Quart. J. Roy. Meteor. Soc. 92, 335–345.

  Google Scholar 

• Bretherton, F.P. and Haidvogel, D.B.: 1976, Two-dimensional turbulence over topography, J. Fluid Mech. 78, 129–154.

  Google Scholar 

• Capéran, P. and Verron, J.: 1988, Numerical simulation of a physical experiment on two-dimensional vortex merging. Fluid Dyn. Res. 3, 87–92.

  Google Scholar 

• Caprino, S. and Salusti, E.: 1986, Stability of oceanic eddies as vortex patches, Ocean Modelling 72, unpublished manuscript, 12–15.

  Google Scholar 

• Carnevale, G.F., Cavazza, P., Orlandi, P., and Purini, R.: 1991, An explanation for anomalous vortex merger in rotating tank experiments, Phys. Fluids, A, 3(5), 1411–1415.

  Google Scholar 

• Carnevale, G.F., McWilliams, J.C., Pomeau, Y., Weiss, J.B., and Young, W.R.: 1991, Evolution of vortex statistics in two-dimensional turbulence, Phys. Rev. Lett. 66, 2735–2737.

  Google Scholar 

• Carnevale, G.F. and Kloosterziel, R.C.: 1994, Emergneca and evolution of triangular vortices, J. Fluid Mech. 259, 305–331.

  Google Scholar 

• Carton, X.J.: 1992, The merger of homostrophic shielded vortices, Europhys. Lett. 18(8), 697–703.

  Google Scholar 

• Carton, X.J., Flierl, G.R., and Polvani, L.M.: 1989, The generation of tripoles from unstable axisymmetric isolated vortex structures, Europhys. Lett. 9(4), 339–344.

  Google Scholar 

• Carton, X.J. and McWilliams, J.C.: 1989, Barotropic and baroclinic instabilities of axisymmetric vortices in a QG model. In J.C.J. Nihoul and B.M. Jamart (eds), Mesoscale/Synoptic Coherent Structures in Geophysical Turbulence, Elsevier Oceanographic Series, 50, 225-244.

• Carton, X.J. and Bertrand, C.: 1993, The influence of environmental parameters on two-dimensional vortex merger. In G.J.F. Heijst (ed.), Modelling of Oceanic vortices, North Holland, 125–134.

• Carton, X.J. and Legras, B.: 1994, The life-cycle of tripoles in 2D incompressible flows, J. Fluid Mech. 267, 53–82.

  Google Scholar 

• Carton, X.J. and McWilliams, J.C.: 1996, Nonlinear oscillatory evolution of a baroclinically unstable geostrophic vortex, Dyn. Atmos. Oceans, 24 207–214.

  Google Scholar 

• Carton, X.J. and Corréard, S.M.: 1999, Baroclinic tripolar vortices: formation and subsequent evolution. In Sorensen, Hopfinger and Aubry (eds), Simulation and identification of organized structures in flows, IUTAM/SIMFLOWSymposium, Kluwer Academic Publishers, pp. 181–190.

• Charney, J.G. and Stern, M.E.: 1962, On the instability of internal baroclinic jets in a a rotating atmosphere, J. Atmos. Sci. 19, 159–172.

  Google Scholar 

• Chen, X. and Allen, S.E.: 1996, The influence of canyons on shelf currents: a theoretical study, J. Geophys. Res. 101(C8), 18043–18059.

  Google Scholar 

• Cherubin, L., Carton, X.J., and Dritschel, D.G.: 1996: Vortex expulsion by a zonal coastal jet on a transverse canyon, Proceedings of the Second IWVF meeting, ESAIM Series, 1, 101–121.

  Google Scholar 

• Corréard, S.M. and Carton, X.J.: 1999, Vertical alignment of geostrophic vortices: On the influence of the initial distribution of potential vorticity. In Sorensen, Hopfinger and Aubry (eds), Simulation and Identification of Organized Structures in flows, IUTAM/SIMFLOW Symposium; Kluwer Academic Publishers, pp. 191–200.

• Charney, J.: 1971, Geostrophic turbulence, J. Atmos. Sci. 28, 1087–1095.

  Google Scholar 

• Cho, J.Y.K. and Polvani, L.M.: 1996, The emergence of jets and vortices in freely evolving, shallow water turbulence on a sphere, Phys. Fluids 8(6), 1531–1552.

  Google Scholar 

• Colin de Verdière, A.: 1992, On the southward motion of Mediterranean salt lenses, J. Phys. Oceanogr. 22, 413–420.

  Google Scholar 

• Couder, Y. and Basdevant, C.: 1986, Experimental and numerical study of vortex couples in twodimensional flows, J. Fluid Mech. 173, 225–251.

  Google Scholar 

• Creswell, G.R.: 1982, The coalescence of two east-Australian current warm-core eddies, Science 215, 161–164.

  Google Scholar 

• Cushman-Roisin, B.: 1984, An exact analytical solution for a time-dependent, elliptical warm-core ring with outcropping interface, Ocean Modelling 59, unpublished manuscript, 5–6.

  Google Scholar 

• Cushman-Roisin, B.: 1989, On the role of filamentation in the merging of anticyclonic lenses, J. Phys. Oceanogr. 19, 253–258.

  Google Scholar 

• Cushman-Roisin, B.: 1994, Introduction to geophysical fluid dynamics, Prentice-Hall, 320 pp.

• Cushman-Roisin, B., Heil, W.H., and Nof, D.: 1985, Oscillations and rotations of elliptical warmcore rings, J. Geophys. Res. 90(C6), 11756–11764.

  Google Scholar 

• Cushman-Roisin, B., Chassignet, E.P., and Tang, B.: 1990, Westward motion of mesoscale eddies, J. Phys. Oceanogr. 20, 758–768.

  Google Scholar 

• Cushman-Roisin, B. and Tang, B.: 1990, Geostrophic turbulence and the emergence of eddies beyond the radius of deformation, J. Phys. Oceanogr. 20, 97–113.

  Google Scholar 

• D'Asaro, E.: 1988, Generation of submesoscale vortices: a new mechanism, J. Geophys. Res. 93, 6685–6693.

  Google Scholar 

• Deem, G.S. and Zabusky, N.J.: 1978, Vortex waves: stationary “V states”, interactions, recurrence and breaking, Phys. Rev. Lett. 40(13), 859–862.

  Google Scholar 

• Dewar, W.K. and Killworth, P.D.: 1995, On the stability of oceanic rings, J. Phys. Oceanogr. 25, 1467–1487.

  Google Scholar 

• Dritschel, D.G.: 1985, The stability and energetics of corotating uniform vortices, J. Fluid Mech. 157, 95–134.

  Google Scholar 

• Drazin, P.G. and Reid, W.H.: 1981, Hydrodynamic stability, Cambridge University Press, 527 pp.

• Dritschel, D.G.: 1986, The nonlinear evolution or rotating configurations of uniform vorticity, J. Fluid Mech. 172, 157–182.

  Google Scholar 

• Dritschel, D.G.: 1988, Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows, with monotonic vorticity, and the analogous three-dimensional quasi-geostrophic flows, J. Fluid Mech. 191, 575–581.

  Google Scholar 

• Dritschel, D.G.: 1989, Contour dynamics and contour surgery: numerical algorithms for extended, high-resolution modeling of vortex dynamics in two-dimensional, inviscid, incompressible flows, Comput. Phys. Rep. 10, 77–146.

  Google Scholar 

• Dritschel, D.G.: 1990, The stability of elliptical vortices in an external straining flow, J. Fluid Mech. 210, 223–261.

  Google Scholar 

• Dritschel, D.G.: 1993, Vortex properties of two-dimensional turbulence, Phys. Fluids, A,5(4), 984–997.

  Google Scholar 

• Dritschel, D.G.: 1995, A general theory for two-dimensional vortex interactions, J. Fluid Mech. 293, 269–292.

  Google Scholar 

• Dritschel, D.G.: 1998), On the persistance of non axisymmetric vortices in inviscid two-dimensional flows, J. Fluid Mech. 371, 141–155.

  Google Scholar 

• Dritschel, D.G. and Waugh, D.: 1992, Quantification of the inelastic interaction of two asymmetric vortices in two-dimensional vortex dynamics, Phys. Fluids, A 4, 1737–1744.

  Google Scholar 

• Dritschel, D.G. and Saravanan, R.: 1994, Three-dimensional quasi-geostrophic contour dynamics with an application to stratospheric vortex dynamics, Q. J. R. Met. Soc. 120, 1267–1297.

  Google Scholar 

• Dritschel, D.G. and Ambaum, M.H.P.: 1997), A contour-advective semi-Lagrangian numerical algorithm for simulating fine-scale conservative dynamical fields, Q. J. R. Met. Soc. 123, 1097–1130.

  Google Scholar 

• Dritschel, D.G. and De la Torre Juárez, M.: 1996), The instability of tall columnar vortices in a quasi-geostrophic fluid, J. Fluid Mech. 328, 129–160.

  Google Scholar 

• Dritschel, D.G. and Zabusky, N.J.: 1996, On the nature of vortex interactions and models in unforced nearly-inviscid two-dimensional turbulence, Phys. Fluids, A, 8(5), 1252–1256.

  Google Scholar 

• Dritschel, D.G., de la Torre Juárez, M., and Ambaum, M.H.P.: 1999, On the three-dimensional vortical nature of atmospheric and oceanic flows, Phys. Fluids 11(6), 1512–1520.

  Google Scholar 

• Farge, M. and Sadourny, R.: 1990), Wave-vortex dynamics in rotating shallow-water, J. Fluid Mech. 206, 433–462.

  Google Scholar 

• Flierl, G.R.: 1979, Baroclinic solitary waves with radial symmetry, Dyn. Atmos. Oceans, 3, 15–38.

  Google Scholar 

• Flierl, G.R.: 1987, Isolated eddy models in geophysics, Ann. Rev. Fluid Mech. 19, 493–530.

  Google Scholar 

• Flierl, G.R.: 1988, On the instability of geostrophic vortices, J. Fluid Mech. 197, 349–388.

  Google Scholar 

• Flierl, G.R., Larichev, V.D., McWilliams, J.C., and Reznik, G.M.: 1980, The dynamics of baroclinic and barotropic solitary eddies, Dyn. Atmos. Oceans 5, 1–41.

  Google Scholar 

• Flierl, G.R., Stern, M.E., and Whitehead, J.A.: 1983, The physical significance of modons: laboratory experiments and general integral constraints, Dyn. Atmos. Oceans 7, 233–263.

  Google Scholar 

• Flierl, G.R., Malanotte-Rizzoli, P., and Zabusky, N.J.: 1987, Nonlinear waves and coherent vortex structures in barotropic beta-plane jets, J. Phys. Oceanogr. 17(9), 1408–1438.

  Google Scholar 

• Ford, R.: 1994, The instability of an axisymmetric vortex with monotonic potential vorticity in rotating shallow water, J. Fluid Mech. 280, 303–334.

  Google Scholar 

• Gent, P.R. and McWilliams, J.C.: 1986, The instability of barotropic circular vortices, Geophys. Astrophys. Fluid Dyn. 35, 209–233.

  Google Scholar 

• Griffiths, R.W. and Hopfinger, E.J.: 1987, Coalescing of geostrophic vortices, J. Fluid Mech. 178, 73–97.

  Google Scholar 

• Griffiths, R.W., Killworth, P.D., and Stern, M.E.: 1982, Ageostrophic instability of ocean currents, J. Fluid Mech. 117, 343–377.

  Google Scholar 

• Haugan, P.M., Johannessen, J.A., Lygre, K., Sandven, S., and Johannessen, O.M.: 1989, Simulation experiments of the evolution of mesoscale circulation features in the Norwegian coastal current. In J.C.J. Nihoul and B.M. Jamart (eds), Mesoscale/Synoptic Coherent Structures in Geophysical Turbulence, Elsevier Oceanographic Series, 50, 303–313.

• Helfrich, K.R. and Send, U.: 1988, Finite-amplitude evolution of two-layer geostrophic vortices, J. Fluid Mech. 197, 331–348.

  Google Scholar 

• Herring, J.R.: 1977, On the statistical theory of two-dimensional topographic turbulence, J. Atmos. Sci. 34, 1731–1750.

  Google Scholar 

• Herring, J.R.: 1980, Statistical theory of quasi-geostrophic turbulence, J. Atmos. Sci. 37, 969–977.

  Google Scholar 

• Hickey, B.M.: 1994, Coastal submarine canyons. In P. Muller (ed.), Aha' Huliko'a winter workshop on flow-topography interactions, University of Hawaii, Honolulu, pp. 10.

  Google Scholar 

• Holland, W.R. and Haidvogel, D.B.: 1980, A parameter study of the mixed instability of idealized ocean currents, Dyn. Atmos. Oceans 4, 185–215.

  Google Scholar 

• Holloway, G.: 1978, A spectral theory of nonlinear barotropic motion above irregular topography, J. Phys. Oceanogr. 8, 414-427.

  Google Scholar 

• Hogg, N.G. and Stommel, H.M.: 1985, The heton, an elementary interaction between discrete baroclinic geostrophic vortices, and its implications concerning eddy heat-flow, Proc. R. Soc. Lond., A, 397, 1–20.

  Google Scholar 

• Hopfinger, E.J. and van Heijst, G.J.F.: 1993, Vortices in rotating fluids, Ann. Rev. Fluid Mech., 25, 241–289.

  Google Scholar 

• Hua, B.L.: 1988a, The internal barotropic instability of surface-intensified eddies. Part I. Generalized theory for isolated eddies, J. Phys. Oceanogr. 18(1), 40–55.

  Google Scholar 

• Hua, B.L.: 1988b), The internal barotropic instability of surface-intensified eddies. Part II. Modeling of the Tourbillon site, J. Phys. Oceanogr. 18(1), 56–71.

  Google Scholar 

• Hua, B.L.: 1994, The conservation of potential vorticity along Lagrangian trajectories in simulations of eddy-driven flows, J. Phys. Oceanogr. 24, 498–508.

  Google Scholar 

• Hua, B.L. and Haidvogel, D.B.: 1986, Numerical simulation of the vertical structure of quasigeostrophic turbulence, J. Atmos. Sci. 43(23), 2923–2936.

  Google Scholar 

• Hua, B.L. and Klein, P.: 1997, An exact criterion for the stirring properties of nearly two-dimensional turbulence, Physica D, in press.

• Hughes, R.L., Ofosu, K.N., and Hickey, B.M.: 1990, On the behavior of boundary undercurrents near canyons, J. Geophys. Res. 95(C11), 20259–20266.

  Google Scholar 

• Ikeda, M.: 1981, Meanders and detached eddies of a strong eastward-flowing jet using a two-layer quasi-geostrophic model, J. Phys. Oceanogr. 11(4), 525–540.

  Google Scholar 

• Ikeda, M. and Apel, J.R.: 1981, Mesoscale eddies detached from spatially-growing meanders in an eastward-flowing oceanic jet using a two-layer quasi-geostrophic model, J. Phys. Oceanogr. 11(12), 1638–1661.

  Google Scholar 

• Kamenkovich, V.M., Koshlyakov, M.N., and Monin, A.S.: 1986, Synoptic eddies in the ocean. EFM, D. Reidel Publishing Company, 433 pp.

• Käse, R.H., Beckmann, A., and Hinrichsen, H.H.: 1989, Observational evidence of salt lens formation in the Iberian basin, J. Geophys. Res. 94(C4), 4905–4912.

  Google Scholar 

• Käse, R.H. and Zenk, W.:1986, Reconstructed Mediterranean salt lens trajectories, J. Phys. Oceanogr. 17, 158–163.

  Google Scholar 

• Käse, R.H. and Zenk, W.: 1996, Structure of the Mediterranean water and meddy characteristics in the northeastern Atlantic. In W. Krauss (ed.), The warmwatersphere of the north Atlantic ocean, Gebrüder Borntraeger, Berlin, pp. 365–395.

  Google Scholar 

• Kida, S.: 1981, Motion of an elliptic vortex in a uniform shear flow, J. Phys. Soc. Japan 50, 3517–3520.

  Google Scholar 

• Kielmann, J. and Käse, R.H.: 1987, Numerical modeling of meander and eddy formation in the Azores current frontal zone, J. Phys. Oceanogr. 17, 529–541.

  Google Scholar 

• Killworth, P.D.: 1983, Long-wave instability of an isolated front, Geophys. Astrophys. Fluid Dyn. 25, 235–258.

  Google Scholar 

• Killworth, P.D. and Stern, M.E.: 1983, Instabilities on density-driven boundary currents and fronts, Geophys. Astrophys. Fluid Dyn. 22, 1–28.

  Google Scholar 

• Killworth, P.D., Paldor, N., and Stern, M.E.: 1984, Wave propagation and growth on a surface front in a two-layer geostrophic current, J. Mar. Res. 42(4), 761–785.

  Google Scholar 

• Klinck, J.M.: 1988, The influence of a narrow transverse canyon on initially geostrophic flow, J. Geophys. Res. 93(C1), 509–515.

  Google Scholar 

• Klinck, J.M.: 1996, Circulation near submarine canyons: a modelling study, J. Geophys. Res. 101(C1), 1211–12223.

  Google Scholar 

• Klinger, B.A.: 1993, Gyre formation at a corner by rotating barotropic coastal flows along a slope, Dyn. Atmos. Oceans, 19, 27–63.

  Google Scholar 

• Klinger, B.A.: 1994a, Inviscid current separation from rounded capes, J. Phys. Oceanogr. 24, 1805–1811.

  Google Scholar 

• Klinger, B.A.: 1994b, Baroclinic eddy generation at a sharp corner in a rotating system, J. Geophys. Res. 99(C6), 12515–12531.

  Google Scholar 

• Kloosterziel, R.C. and Carnevale, G.F.: 1992, Formal stability of circular vortices, J. Fluid Mech. 242, 249–278.

  Google Scholar 

• Kraichnan, R.H.: 1971, An almost-Markovian Galilean-invariant turbulence model, J. Fluid Mech. 47, 513–524.

  Google Scholar 

• Kubokawa, A.: 1988, Instability and nonlinear evolution of a density-driven coastal current with a surface front in a two-layer ocean, Geophys. Astrophys. Fluid Dyn. 40, 195–223.

  Google Scholar 

• Kundu, P.K.: 1990, Fluid mechanics, Academic Press, 638 pp.

• Lacasce, J.: 1998, A geostrophic vortex over a slope, J. Phys. Oceanogr. 28, 2362–2381.

  Google Scholar 

• Lamb, Sir H.: 1932, Hydrodynamics, Cambridge University Press, 738 pp.

• Larichev, V.D. and McWilliams, J.C.: 1991, Weakly decaying turbulence in an equivalent-barotropic model, Phys. Fluids, A, 3, 938–950.

  Google Scholar 

• Legg, S.: 1992, Open ocean deep convection: the spreading phase, Ph.D. Thesis, University of London, 185 pp.

• Legras, B.: 1991, Eddies in geophysical flows, Lecture Notes of the GFD Summer School, Roscoff, France, 147–165.

  Google Scholar 

• Legras, B., Santangelo, P., and Benzi, R.: 1988, High-resolution numerical experiments for forced two-dimensional turbulence, Europhys. Lett. 5(1), 37–42.

  Google Scholar 

• Legras, B. and Dritschel, D.G.: 1993, Vortex stripping and the generation of high vorticity gradients in two-dimensional flows, Appl. Sci. Res. 51, 445–456.

  Google Scholar 

• Leith, C.E.: 1971, Atmospheric predictability and two-dimensional turbulence, J. Atmos. Sci., 28, 145–161.

  Google Scholar 

• Leith, C.E.: 1981, Minimum-enstrophy vortices, Phys. Fluids 7, 1388–1395.

  Google Scholar 

• Lesieur, M.: 1983, Introduction a la turbulence bi-dimensionnelle, J. Meca. Theor. Appl. N. Special, 5–20.

• Lin, J.T.: 1972), Relative dispersion in the enstrophy cascading inertial range of homogeneous two dimensional turbulence, J. Atmos. Sci. 29, 394–396.

  Google Scholar 

• Madelain, F.: 1970, Influence de la topographie de fond sur l'écoulement méditerranéen entre le détroit de Gibraltar et le cap Saint Vincent, Cahiers Océanogaphiques 22, 43–61.

  Google Scholar 

• Mariotti, A., Legras, B., and Dritschel, D.G.: 1994, Vortex stripping and the erosion of coherent structures in two-dimensional flows. Phys. Fluids 6(12), 3954-3962.

  Google Scholar 

• Marshall J.S. and Parthasarathy, B.: 1993, Tearing of an aligned vortex by a current difference in two-layer quasi-geostrophic flow, J. Fluid Mech. 255, 157–182.

  Google Scholar 

• McWilliams, J.C.: 1983, Interaction of isolated vortices. II. Modon generation by monopole collisions, Geophys. Astrophys. Fluid Dyn. 24, 1–22.

  Google Scholar 

• McWilliams, J.C.: 1984, The emergence of isolated coherent vortices in turbulent flows, J. Fluid Mech. 146, 21–43.

  Google Scholar 

• McWilliams, J.C.: 1985, Submesoscale coherent vortices in the ocean, Rev. Geophys. 23, 165–182.

  Google Scholar 

• McWilliams, J.C.: 1988, Vortex generation through balanced adjustment, J. Phys. Oceanogr. 18, 1178–1192.

  Google Scholar 

• McWilliams, J.C.: 1989, Statistical properties of decaying geostrophic turbulence, J. Fluid Mech. 198, 199-230.

  Google Scholar 

• McWilliams, J.C.: 1990a, The vortices of two-dimensional turbulence, J. Fluid Mech. 219, 361–385.

  Google Scholar 

• McWilliams, J.C.: 1990b, The vortices of geostrophic turbulence, J. Fluid Mech. 219, 387–404.

  Google Scholar 

• McWilliams, J.C.: 1990c), A demonstration of the suppression of turbulent cascades by coherent vortices in two-dimensional turbulence, Phys. Fluids, A, 2(4), 547–552.

  Google Scholar 

• McWilliams, J.C.: 1991, Geostrophic vortices. In: Nonlinear Topics in Ocean Physics, Proceedings of the International School of Physics “Enrico Fermi”, Course CIX, North Holland, 5–50.

  Google Scholar 

• McWilliams, J.C. and Flierl, G.R.: 1979, On the evolution of isolated nonlinear vortices, J. Phys. Oceanogr. 9, 1155–1182.

  Google Scholar 

• McWilliams, J.C. and Zabusky, N.J.: 1982, Interaction of isolated vortices. I. Modons colliding with modons, Geophys. Astrophys. Fluid Dyn. 19, 207–227.

  Google Scholar 

• McWilliams, J.C., Weiss, J.B., and I. Yavneh, I.: 1994, Anisotropy and coherent structures in planetary turbulence, Science 264, 410–413.

  Google Scholar 

• McWilliams, J.C. and Weiss, J.B.: 1994 Anisotropic geophysical vortices, Chaos 4(2), 305–311.

  Google Scholar 

• Meacham, S.P.: 1992, Quasi-geostrophic, ellipsoidal vortices in a stratified fluid, Dyn. Atmos. Oceans 16, 189–223.

  Google Scholar 

• Meacham, S.P.: 1993, The merger of three-dimensional, quasi-geostrophic vortices in a stratified fluid. Submitted to Phys. Fluids, A.

• Meacham, S.P., Flierl, G.R., and Send, U.: 1990, Vortices in shear, Dyn. Atmos. Oceans 14, 333–386.

  Google Scholar 

• Melander, M.V., Zabusky, N.J., and Styczek, A.S.: 1986, A moment model for vortex interactions of the two-dimensional Euler equations. Part I. Computational validation of a Hamiltonian elliptical representation, J. Fluid Mech. 167, 95–115.

  Google Scholar 

• Melander, M.V., McWilliams, J.C., and Zabusky, N.J.: 1987, Axisymmetrization and vorticity gradient intensification of an isolated two-dimensional vortex through filamentation, J. Fluid Mech. 178, 137–159.

  Google Scholar 

• Melander, M.V., Zabusky, N.J., and McWilliams, J.C.: 1987, Asymmetric vortex merger in two dimension: Which vortex is “victorious”? Phys. Fluids, A, 30(9), 2610–2612.

  Google Scholar 

• Melander, M.V., Zabusky, N.J., and McWilliams, J.C.: 1988, Symmetric vortex merger in two dimensions: causes and conditions, J. Fluid Mech. 195, 303–340.

  Google Scholar 

• Mied, R. and Lindemann, G.J.: 1984, Mass transfer between Gulf-Stream rings, J. Geophys. Res. 89(C4), 6365–6372.

  Google Scholar 

• Mied, R., McWilliams, J.C., and Lindemann, G.J.: 1991, The generation and evolution of mushroomlike vortices, J. Phys. Oceanogr. 21, 489–510.

  Google Scholar 

• Miller, J.: 1990, Statistical mechanics of Euler equations in two dimensions, Phys. Rev. Lett. 65(17), 2137–2140.

  Google Scholar 

• Montgomery, D. and Joyce, G.: 1974, Statistical mechanics of negative temperature states, Phys. Fluids 17, 1139–1145.

  Google Scholar 

• Moore, D.W. and Saffmann, P.G.: 1971, Structure of a line vortex in an imposed strain. In J.H. Olsen, A. Goldburg and M. Rogers (eds), Aircraft wake turbulence and its detection, Plenum, New York, 339–354.

  Google Scholar 

• Morel, P. and Larcheveque, M.: 1974, Relative dispersion of constant level balloons in the 200 mb general circulation, J. Atmos Sci. 31, 2189–2195.

  Google Scholar 

• Morel, Y.G.: 1995a, Etude des deplacements et de la dynamique des tourbillons geophysiques; application aux meddies. These de Doctorat de l'Universite Joseph Fourier, Grenoble, France, 155 pp.

  Google Scholar 

• Morel, Y.G.: 1995b, The influence of an upper thermocline current on intrathermocline eddies, J. Phys. Oceanogr. 25, 3247–3252.

  Google Scholar 

• Morel, Y.G. and Carton, X.J.: 1994, Multipolar vortices in two-dimensional incompressible flows, J. Fluid Mech. 267, 23–51.

  Google Scholar 

• Morel, Y.G. and McWilliams, J.C.: 1997, Evolution of isolated interior vortices in the ocean, J. Phys. Oceanogr. 27, 727–748.

  Google Scholar 

• Morikawa, G.K. and Swenson, E.V.: 1971, Interacting motion of rectilinear geostrophic vortices, Phys. Fluids 14, 1058–1073.

  Google Scholar 

• Muller, P. and Frankignoul, C.: 1981, Direct atmospheric forcing of geostrophic eddies, J. Phys. Oceanogr. 11, 287–308.

  Google Scholar 

• Nof, D.: 1981, On the β-induced movement of isolated baroclinic eddies, J. Phys. Oceanogr. 11, 1662–1672.

  Google Scholar 

• Nof, D.: 1983, The translation of isolated cold eddies on a sloping bottom, J. Mar. Res. 30(2A), 171–182.

  Google Scholar 

• Nof, D.: 1990, The breakup of dense filaments, J. Phys. Oceanogr. 20, 880–889.

  Google Scholar 

• Nof, D.: 1991, Lenses generated by intermittent currents, Deep-Sea Res. 38(3), 325–345.

  Google Scholar 

• Olson, D.B.: 1980, The physical oceanography of two rings observed by the cyclonic ring experiment. Part II: Dynamics, J. Phys. Oceanogr. 10, 514–528.

  Google Scholar 

• Olson, D.B.: 1991, Rings in the ocean, Ann. Rev. Earth Planet. Sci. 19, 283–311.

  Google Scholar 

• Olson, D.B., Schmitt, R.W., Kennelly, M., and Joyce, T.M.: 1985, A two-layer diagnostic model of the long-term physical evolution of warm-core ring 82B, J. Geophys. Res. 90(C5), 8813–8822.

  Google Scholar 

• Orlandi, P. and van Heijst, G.J.F.: 1992, Numerical simulations of tripolar vortices in 2D flows, Fluid Dyn. Res. 9, 179–206.

  Google Scholar 

• Ou, H.W. and De Ruijter, W.P.M.: 1986, Separation of an inertial boundary current from a curved coastline, J. Phys. Oceanogr. 16, 280–289.

  Google Scholar 

• Overman, II, E.A. and Zabusky, N.J.: 1982 Evolution and merger of isolated vortex structures, Phys. Fluids 25(8), 1297–1305.

  Google Scholar 

• Pedlosky, J.: 1987, Geophysical Fluid Dynamics, Springer Verlag, 710 pp.

  Google Scholar 

• Paillet, J., LeCann, B., Serpette, A., More, Y., and Carton, X.: 1999, Real-time tracking of a Galician meddy. To appear in Geophys. Res. Lett..

• Paldor, N.: 1983, Stability and stable modes of coastal fronts, Geophys. Astrophys. Fluid Dyn. 27, 217–228.

  Google Scholar 

• Paldor, N.: 1987, Instabilities of a two-layer coupled front,Deep-Sea Res. 34(9), 1525–1539.

  Google Scholar 

• Paldor, N. and Nof, D.: 1990, Linear instability of an anticyclonic vortex in a two-layer ocean, J. Geophys. Res. 95(C10), 18075–18079.

  Google Scholar 

• Pavia, E.G. and Cushman-Roisin, B.: 1990, Merging of frontal eddies, J. Phys. Oceanogr. 20, 1886–1906.

  Google Scholar 

• Pedreira-Dubert, J.M.: 1993, Le swoddy est-il un heton? Rapport de stage de DEA d'Océanographie de l'Université de Bretagne Occidentale, Brest, France.

• Pichevin, T. and Nof, D.: 1996, The eddy cannon, Deep-Sea Res. I 43(9), 1475–1507.

  Google Scholar 

• Pingree, R. and LeCann, B.: 1992, Three anticyclonic Slope Water Oceanic eDDIES (SWODDIES) in the southern Bay of Biscay in 1990, Deep-Sea Res. 39, 1147–1175.

  Google Scholar 

• Pingree, R. and LeCann, B.: 1993, A shallow meddy (Smeddy) from the secondary Mediterranean salinity maximum, J. Geophys. Res. 98(C), 20169–10185.

  Google Scholar 

• Polvani, L.M.: 1988, Geostrophic vortex dynamics, Ph.D. thesis, MIT/WHOI,WHOI-88-48, 221 pp.

• Polvani, L.M.: 1991, Two-layer geostrophic vortex dynamics. Part 2. Alignment and two-layer Vstates, J. Fluid Mech. 225, 241–270.

  Google Scholar 

• Polvani, L.M., Flierl, G.R., and Zabusky, N.J.: 1989a, Filamentation of unstable vortex structures via separatrix crossing: a quantitative estimate of onset time, Phys. Fluids, A, 1(2), 181–184.

  Google Scholar 

• Polvani, L.M., Zabusky, N.J., and Flierl, G.R.: 1989b, Two-layer geostrophic vortex dynamics. Part 1. Upper-layer V-States and merger, J. Fluid Mech. 205, 215–242.

  Google Scholar 

• Polvani, L.M. and Carton, X.J.: 1990, The tripole: A new coherent vortex structure of incompressible 2D flows, it Geophys. Astrophys. Fluid Dyn. 51, 87–102.

  Google Scholar 

• Polvani, L.M., McWilliams, J.C., Spall, M.A., and Ford, R.: 1994, The coherent structures of shallow-water turbulence: Deformation radius effects, cyclone/anticyclone asymmetry and gravity wave generation, Chaos 4(2), 177–186.

  Google Scholar 

• Prater, M.D. and Sanford, T.B.: 1994, A meddy off Cape St Vincent. Part I; Description, J. Phys. Oceanogr. 24, 1572–1586.

  Google Scholar 

• Reznik, G.M. and Dewar, W.K.: 1994, An analytical theory of distributed axisymmetric vortices on the β-plane, J. Fluid Mech. 269, 301–321.

  Google Scholar 

• Rhines, P.B.: 1979, Geostrophic turbulence, Ann. Rev. Fluid Mech. 11, 401–441.

  Google Scholar 

• Richardson, P.L.: 1993, Tracking ocean eddies, American Scientist 81, 261–272.

  Google Scholar 

• Richardson, P.L., Walsh, D., Armi, L., Schröder, M., and Price, J.F.: 1989, Tracking three meddies with SOFAR floats, J. Phys. Oceanogr. 19, 371–383.

  Google Scholar 

• Ring Group (the): 1981, Gulf-Stream cold-core rings: their physics, chemistry and biology, Science 212(4499), 1091–1100.

  Google Scholar 

• Ripa, P.: 1985, On the stability of Cushman-Roisin's warm eddy solution, Ocean Modelling, 63, unpublished manuscript, 3–7.

  Google Scholar 

• Ripa, P.: 1989, On the stability of ocean vortices. In J.C.J. Nihoul and B.M. Jamart (eds), Mesoscale/ Synoptic Coherent Structures in Geophysical Turbulence, Elsevier Oceanographic Series, 50, 167–179.

• Ripa, P.: 1991, General stability conditions for a multi-layer model, J. Fluid Mech. 222, 119–137.

  Google Scholar 

• Ripa, P.: 1992, Instability of a solid-body rotating vortex in a two-layer model, J. Fluid Mech. 242, 395–417.

  Google Scholar 

• Robinson, A.R.: 1983, Eddies in marine science, Springer Verlag, 609 pp.

• Robert, R. and Sommeria, J.: 1991, Statistical equilibrium states for two-dimensional flows, J. Fluid Mech. 229, 291–310.

  Google Scholar 

• Robert, R. and Sommeria, J.: 1992, Relaxation towards a statistical equilibrium state in twodimensional perfect fluid dynamics, Phys. Rev. Lett. 69(19), 2776–2779.

  Google Scholar 

• Saffman P.G. and Szeto, R.: 1980, Equilibrium shape of a pair of equal uniform vortices, Phys. Fluids 23(12), 2339–2342.

  Google Scholar 

• Sakai, S.: 1989, Rossby–Kelvin instability: a new type of ageostrophic instability caused by a resonance between Rossby waves and gravity waves, J. Fluid Mech. 202, 149–176.

  Google Scholar 

• Salmon, R.: 1980, Baroclinic instability and geostrophic turbulence, Geophys. Astrophys. Fluid Dyn. 15, 167–211.

  Google Scholar 

• Santangelo, P., Benzi, R., and Legras, B.: 1989, The generation of vortices in high-resolution, twodimensional decaying turbulence and the influence of initial conditions on the breaking of selfsimilarity, Phys. Fluids, A, 1(6), 1027–1034.

  Google Scholar 

• Schultz-Tokos, K., Hinrichsen, H.H., and Zenk, W.: 1994, Merging and migration of two meddies, J. Phys. Oceanogr. 24, 2129–2141.

  Google Scholar 

• Shapiro, G.I., Zenk, W., Meschanov, S.L., and Schultz-Tokos, K.L.: 1995, Self-similarity of the meddy family in the eastern north Atlantic, Oceanologica Acta 18, 29–42.

  Google Scholar 

• Sokolovskyi, M.A.: 1997, Stability of an axisymmetric three-layer vortex, Izvestiya Atm. Ocean. Phys. 33(1), 16–26.

  Google Scholar 

• Spall, M.A.: 1995, Frontogenesis, subduction and cross-front exchange at upper-ocean fronts, J. Geophys. Res. 100(C2), 2543–2557.

  Google Scholar 

• Sutyrin G.G. and Flierl, G.R.: 1994, Intense vortex motion on the beta-plane: development of the beta-gyres, J. Atmos. Sci. 51, 773–790.

  Google Scholar 

• Sutyrin G.G. and Morel, Y.G.: 1997, Intense vortex motion in a stratified fluid on the beta-plane: an analytical theory and its validation, J. Fluid Mech. 336, 203–220.

  Google Scholar 

• Sutyrin G.G., McWilliams, J.C., and Saravanan, R.: 1997, Co-rotating stationary states and vertical alignment of geostrophic vortices with thin cores, Preprint, 27 pp.

• Swaters, G.E.: 1991, On the baroclinic instability of cold-core coupled density fronts on a sloping continental shelf, J. Fluid Mech. 224, 361–382.

  Google Scholar 

• Swenson, M.: 1987, Instability of equivalent-barotropic riders, J. Phys. Oceanogr. 17, 492–506.

  Google Scholar 

• Thierry, V. and Morel, Y.: 1999, Influence of a strong bottom slope on the evolution of a surface intensified vortex, J. Phys. Oceanogr. 29, 911–924.

  Google Scholar 

• Thomson, L. and Young, W.R.: 1989, An upper bound on the size of sub-mesoscale coherent vortices, J. Phys. Oceanogr. 19, 233–237.

  Google Scholar 

• Tréguier, A.M. and Hua, B.L.: 1987, Oceanic quasi-geostrophic turbulence forced by stochastic wind fluctuations, J. Phys. Oceanogr. 17(3), 397–411.

  Google Scholar 

• Tréguier, A.M. and Hua, B.L.: 1988, Influence of bottom topography on stratified quasi-geostrophic turbulence in the ocean, Geophys. Astrophys. Fluid Dyn. 43, 265–305.

  Google Scholar 

• Tréguier, A.M. and Klein, P.: 1994, Instability of wind-forced inertial oscillations, J. Fluid Mech. 275, 323–349.

  Google Scholar 

• Tychensky, A. and Carton, X.J.: 1998, Hydrological and dynamical characterization of meddies in the Azores region: a paradigm for baroclinic vortex dynamics. To appear in J. Geophys. Res.

• Valcke, S. and Verron, J.: 1993, On interactions between two finite-core hetons, Phys. Fluids, A, 5(8), 2058–2060.

  Google Scholar 

• Valcke, S. and Verron, J.: 1996, Cyclone-anticyclone asymmetry in the merging process. Dyn. Atmos. Oceans 24, 227–236.

  Google Scholar 

• Valcke, S. and Verron, J.: 1997, Interactions of baroclinic isolated vortices: the dominant effect of shielding, J. Phys. Oceanogr. 27, 524-541.

  Google Scholar 

• van Heijst, G.J.F., Kloosterziel, R.C., and Williams, C.W.M.: 1991, Laboratory experiments on the tripolar vortex in a rotating fluid, J. Fluid Mech. 225, 301–331.

  Google Scholar 

• Verron, J., Hopfinger, E.J., and McWilliams, J.C.: 1990, Sensitivity to initial conditions in the merging of two-layer baroclinic vortices, Phys. Fluids A 2, 886–889.

  Google Scholar 

• Verron, J. and Valcke, S.: 1994, Scale-dependent merging of baroclinic vortices, J. Fluid Mech. 264, 81–106.

  Google Scholar 

• Viera, F.: 1995, On the alignment and axisymmetrization of a vertically-tilted geostrophic vortex, J. Fluid Mech. 289, 29–50.

  Google Scholar 

• Walsh, D.: 1995, A model of a mesoscale lens in a large-scale shear. Part I. Linear calculations, J. Phys. Oceanogr. 25, 735–746.

  Google Scholar 

• Walsh, D. and Pratt, L.J.: 1995, The interaction of a pair of point potential vortices in a uniform shear, Dyn. Atmos. Oceans 22, 135–160.

  Google Scholar 

• Walsh, D., Richardson, P.L., and Lynch, J.: 1996, Observations of tilting meddies, J. Phys. Oceanogr. 26, 1023–1038.

  Google Scholar 

• Weiss, J.: 1981, The dynamics of enstrophy transfer in two-dimensional hydrodynamics. LJI-Tn-81-121 report, La Jolla Institute, La Jolla, CA.

  Google Scholar 

• Weiss, J.B. and McWilliams, J.C.: 1993, Temporal scaling behavior of two-dimensional turbulence, Phys. Fluids, A, 5, 608–621.

  Google Scholar 

• Wu, H.M., Overman, E.A., and Zabusky, N.J.: 1984, Steady-state solutions of the Euler equations in two dimensions: rotating and translating V-States with limiting cases. I. Numerical algorithms and results, J. Comp. Phys. 53, 42–71.

  Google Scholar 

• Yasuda, I.: 1995, Geostrophic vortex merger and streamer development in the ocean with special reference to the merger of Kuroshio warm-core rings, J. Phys. Oceanogr. 25, 979–996.

  Google Scholar 

• Yasuda, I. and Flierl, G.R.: 1995, Two-dimensional asymmetric vortex merger: Contour dynamics experiments, J. Oceanogr. 51, 145–170.

  Google Scholar 

• Yasuda, I. and Flierl, G.R.: 1997, Two-dimensional asymmetric vortex merger: merger dynamics and critical merger distance, Dyn. Atmos. Oceans, 26, 159–181.

  Google Scholar 

• Yavneh, I., Shchepetkin, A.F., McWilliams, J.C., and Graves, L.P.: 1997, Multigrid solution of rotating stably stratified flows: the balance equations and their turbulent dynamics, J. Comp. Phys. 136, 245–262.

  Google Scholar 

• Zenk, W.: 1975, On the Mediterranean outflow west of Gibraltar, “Meteor” Forsch. Ergebnisse, A 16, 15–22.

  Google Scholar 

• Zenk, W., Schultz-Tokos K.L., and Boebel, O.: 1992, New observations of meddy movement south of the Tejo plateau, Geophys. Res. Lett. 12(24), 2389–2392.

  Google Scholar 

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