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Background current concept and chaotic advection in an oceanic vortex flow


The concept of background currents is offered in the examples of barotropic and baroclinic quasigeostrophic models. The background currents are characterized by constant value of potential vorticity, which minimize the energy of a system. Hamiltonian character of motion equations of fluid particles allows to apply such models to study chaotic advection.

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  1. 1

    Aref H.: Stirring by chaotic advection. J. Fluid Mech. 143, 1–21 (1984)

  2. 2

    Aref H., El Naschie M.S.: Chaos Applied to Fluid Mixing. Pergamon, London (1994)

  3. 3

    Gledzer A.E.: Mass entrainment and release in ocean eddy structures. Izv. Atmos. Ocean. Phys. 35, 759–766 (1999)

  4. 4

    Izrailsky Yu.G., Kozlov V.F., Koshel’ K.V.: Some specific features of chaotization of the pulsating barotropic flow over elliptic and axisymmetric sea-mounts. Phys. Fluids 16, 3173–3190 (2004)

  5. 5

    Koshel’ K.V., Prants S.V.: Chaotic advection in the ocean. Phys. Uspekhi 49, 1151–1178 (2006)

  6. 6

    Kozlov V.F.: Background flows in geophysical fluid dynamics. Izv. Akad. Nauk FAO 31, 245–250 (1995)

  7. 7

    Pedlosky J.: Geophysical Fluid Dynamics, 2nd edn. Springer-Verlag, New York (1987)

  8. 8

    Pierrehumbert R.T., Yang H.: Global chaotic mixing on isentropic surfaces. J. Atmos. Sci. 50(15), 2462–2480 (1993)

  9. 9

    Ryzhov E.A., Koshel’ K.V., Stepanov D.V.: Chaotic advection induced by a topographic vortex in baroclinic ocean. Tech. Phys. Lett. 34(6), 531–534 (2008)

  10. 10

    Zaslavskii G.M.: Physics of Chaos in Hamiltonian Systems. Computer Research Institute, Izhevsk (2004)

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Correspondence to E. Ryzhov.

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Communicated by H. Aref

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Ryzhov, E., Koshel, K. & Stepanov, D. Background current concept and chaotic advection in an oceanic vortex flow. Theor. Comput. Fluid Dyn. 24, 59–64 (2010).

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  • Background currents
  • Chaotic advection
  • Topographic vortex


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