Abstract
This paper reviews some aspects of topography effects on the dynamics of barotropic monopolar, dipolar and tripolar vortices in a rotating fluid. It is shown that the modulated point-vortex model (essentially based on conservation of potential vorticity) is capable of describing the flow evolution correctly, as can be concluded from comparisons with numerical simulations and laboratory observations.
Sommario
In questo articolo sono passati in rassegna alcuni aspetti degli effetti topografici nella dinamica dei vortici barotropici, monopolari, dipolari e tripolari in un fluido rotante. Si osserva che il modello di vortice puntiforme modulato (essenzialmente basato sulla conservazione della vorticità potenziale) è capace di descrivere correttamente l'evoluzione del flusso, come si può concludere dal paragone con simulazioni numeriche ed osservazioni di laboratorio.
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References
Pedlosky, J.,Geophysical Fluid Dynamics, Springer Verlag, New York (1st edn. 1979, 2nd edn. 1987).
Carnevale, G.F., Kloosterziel, R.C. and van Heijst, G.J.F., ‘Propagation of barotropic vortices over topography in a rotating tank’,J. Fluid Mech.,233 (1991) 119–139.
Velasco Fuentes, O.U. and van Heijst, G.J.F., ‘Experimental study of dipolar vortices on a topographic β-plane’,J. Fluid Mech.,259 (1994) 79–106.
Velasco Fuentes, O.U., van Heijst, G.J.F., and van Lipzig, N.P.M., ‘Unsteady behaviour of a topography-modulated tripolar vortex’, Submitted toJ. Fluid. Mech.
Tojo, S., ‘The dynamics of a vortex embedded in a constant zonal current’,J. Met.,10 (1953) 175–178.
Adem, J., ‘A series solution for the barotropic vorticity equation and its application in the study of atmospheric vortices’,Tellus,VIII (1956) 364–372.
Rossby, C.G., ‘On displacements and intensity changes of atmospheric vortices’,J. Mar. Res.,VII (1948). 175–187.
Willoughby, H.E., ‘Linear motion of a shallow-water, barotropic vortex’,J. Atmos. Sci.,45 (1988) 1906–1928.
McWilliams, J.C. and Flierl, G.R., ‘On the evolution of isolated, nonlinear vortices’,J. Phys. Oceangr.,9 (1979) 1155–1182.
McWilliams, J.C., Gent, P.R. and Norton, N.J., ‘The evolution of balanced, low-mode vortices on the β-plane’,J. Phys. Oceanogr.,16 (1986) 838–855.
Chan, J.C.L. and Williams, R.T., ‘Analytical and numerical studies of the beta-effects in tropical cyclone motion. Part I: Zero mean flow’,J. Atmos. Sci.,44 (1987) 1257–1265.
McWilliams, J.C., Flierl, G.R., Larichev, V.D. and Reznik, G.M., ‘Numerical studies of barotropic modons’,Dyn. Atmos. Oceans,5 (1981) 219–238.
Mied, R.P. and Lindemann, G.J., ‘The birth and evolution of eastward-propagating modons’,J. Phys. Oceanogr.,12 (1982) 213–230.
Kono, J. and Yamagata, T., ‘The behaviour of a vortex pair on the beta-plane’,Proc. Oceanogr. Soc. Japan,36 (1977) 83–84 (in Japanese).
Zabusky, N.J. and McWilliams, J.C., ‘A modulated point-vortex model for geostrophic, β-plane dynamics’,Phys. Fluids,25 (1982) 2175–2182.
Hobson, D.D., ‘A point vortex dipole model of an isolated modon’,Phys. Fluids A3 (1991) 3027–3033.
Kono, M. and Horton, W., ‘Point vortex description of drift wave vortices: Dynamics and transport’,Phys. Fluids B3 (1991) 3255–3262.
Legras, B., Santangelo, P. and Benzi, R., ‘High-resolution numerical experiments for forced two-dimensional turbulence’,Europhys. Lett.,5 (1988) 37–42.
Carton, X.J., Flierl, G.R. and Polvani, L.M., ‘The generation of tripoles from unstable axisymmetric vortex structures’,Europhys. Lett.,9 (1989) 339–344.
Orlandi, P. and van Heijst, G.J.F., ‘Numerical simulation of tripolar vortices in 2D flow’,Fluid Dyn. Res.,9 (1992) 179–206.
van Heijst, G.J.F. and Kloosterziel, R.C., ‘Tripolar vortices in a rotating fluid’,Nature 338 (1989) 569–571.
van Heijst, G.J.F., Kloosterziel R.C. and Williams, C.W.M., ‘Laboratory experiments on the tripolar vortex in a rotating fluid’,J. Fluid Mech.,225 (1991) 301–331.
Flór, J.B., Govers, W.S.S., van Heijst, G.J.F. and van Sluis, R., ‘Formation of a tripolar vortex in a stratified fluid’,Appl. Sci. Res.,51 (1993) 405–409.
Pingree, R.D. and Le Cann, B., ‘Three anticyclonic Slope Water Oceanic eDDIES (SWODDIES) in the southern Bay of Biscay in 1990’,Deep-Sea Res.,39 (1992) 1147–1175.
Pingree, R.D. and Le Cann, B., ‘Anticyclonic Eddy X91 in the southern Bay of Biscay, May 1991 to February 1992’,J. Geophys. Res.,97 (1992) 14,353–14,367.
Hesthaven, J.S., Lynov, J.P., Rasmussen, J.J. and Sutyrin, G.G., ‘Generation of tripolar vortical structures on the beta-plane’,Phys. Fluids,A5 (1993) 1674–1678.
van Heijst, G.J.F. and Velasco Fuentes, O.U., ‘Topography-induced modulation of the tripolar vortex in a rotating fluid’, In:Modelling of Oceanic Vortices (ed. G.J.F. van Heijst), Verhandelingen Koninklijke Nederlandse Academie voor Wetenschappen, North-Holland, 1994.
Kloosterziel, R.C. and van Heijst, G.J.F. ‘An experimental study of unstable barotropic vortices in a rotating fluid’,J. Fluid Mech.,223 (1991) 1–24.
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Van Heijst, G.J.F. Topography effects on vortices in a rotating fluid. Meccanica 29, 431–451 (1994). https://doi.org/10.1007/BF00987577
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DOI: https://doi.org/10.1007/BF00987577