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UFN, 2006, Volume 176, Number 11, Pages 1177–1206 (Mi ufn397)  

This article is cited in 75 scientific papers (total in 75 papers)


Chaotic advection in the ocean

K. V. Koshel', S. V. Prants

V. I. Il'ichev Pacific Oceanological Institute of the Far Eastern Branch of RAS

Abstract: The problem of chaotic advection of passive scalars in the ocean and its topological, dynamical, and fractal properties are considered from the standpoint of the theory of dynamical systems. Analytic and numerical results on Lagrangian transport and mixing in kinematic and dynamic chaotic advection models are described for meandering jet currents, topographical eddies in a barotropic ocean, and a two-layer baroclinic ocean. Laboratory experiments on hydrodynamic flows in rotating tanks as an imitation of geophysical chaotic advection are described. Perspectives of a dynamical system approach in physical oceanography are discussed.


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Physics–Uspekhi, 2006, 49:11, 1151–1178

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PACS: 05.45.-a, 47.52.+j, 92.10.-c
Received: February 17, 2006

Citation: K. V. Koshel', S. V. Prants, “Chaotic advection in the ocean”, UFN, 176:11 (2006), 1177–1206; Phys. Usp., 49:11 (2006), 1151–1178

Citation in format AMSBIB
\by K.~V.~Koshel', S.~V.~Prants
\paper Chaotic advection in the ocean
\jour UFN
\yr 2006
\vol 176
\issue 11
\pages 1177--1206
\jour Phys. Usp.
\yr 2006
\vol 49
\issue 11
\pages 1151--1178

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    This publication is cited in the following articles:
    1. M. Yu. Uleysky, M. V. Budyansky, S. V. Prants, “Effect of dynamical traps on chaotic transport in a meandering jet flow”, Chaos, 17:4 (2007), 043105  crossref  zmath  adsnasa  isi  elib  scopus
    2. Yu. G. Izrailsky, K. V. Koshel, D. V. Stepanov, “Determination of the optimal excitation frequency range in background flows”, Chaos, 18:1 (2008), 013107  crossref  mathscinet  adsnasa  isi  elib  scopus
    3. M Yu Uleysky, M V Budyansky, S V Prants, “Genesis and bifurcations of unstable periodic orbits in a jet flow”, J Phys A Math Theor, 41:21 (2008), 215102  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. Tanguy Le Borgne, Jesus Carrera, “Spatial Markov processes for modeling Lagrangian particle dynamics in heterogeneous porous media”, Phys Rev E, 78:2 (2008), 026308  crossref  mathscinet  isi  scopus
    5. K V Koshel, M A Sokolovskiy, P A Davies, “Chaotic advection and nonlinear resonances in an oceanic flow above submerged obstacle”, Fluid Dyn Res, 40:10 (2008), 695  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    6. Ryzhov, EA, “Evaluating the stochastic layer thickness in a two-layer topographic vortex model”, Technical Physics Letters, 34:6 (2008), 531  crossref  adsnasa  isi  elib  scopus
    7. Shklyaev, S, “Particle entrapment in a fluid suspension as a feedback effect”, New Journal of Physics, 10 (2008), 063030  crossref  adsnasa  isi  scopus
    8. Izrailsky Yu., Koshel K., Stepanov D., “Estimation of optimal for chaotic transport frequency of non-stationary flow oscillation”, Iutam Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, Iutam Bookseries, 6, 2008, 393–402  crossref  mathscinet  zmath  isi
    9. Irina I. Rypina, Michael G. Brown, Huseyin Koçak, “Transport in an Idealized Three-Gyre System with Application to the Adriatic Sea”, J Phys Oceanogr, 39:3 (2009), 675  crossref  adsnasa  isi  scopus
    10. M. V. Budyansky, M. Yu. Uleysky, S. V. Prants, “Detection of barriers to cross-jet Lagrangian transport and its destruction in a meandering flow”, Phys Rev E, 79:5 (2009), 056215  crossref  adsnasa  isi  elib  scopus
    11. Hezi Gildor, Erick Fredj, Jonah Steinbuck, Stephen Monismith, “Evidence for Submesoscale Barriers to Horizontal Mixing in the Ocean from Current Measurements and Aerial Photographs”, J Phys Oceanogr, 39:8 (2009), 1975  crossref  isi  scopus
    12. E. Ryzhov, K. Koshel, D. Stepanov, “Background current concept and chaotic advection in an oceanic vortex flow”, Theoret Comput Fluid Dynamics, 2009  crossref  isi  scopus
    13. Budyansky M.V., Uleysky M.Yu., Prants S.V., “Cross-Frontal Chaotic Transport in Oceanic Jet Currents”, Topics on Chaotic Systems, 2009, 58–69  crossref  mathscinet  zmath  isi
    14. M. Yu. Uleysky, M. V. Budyansky, S. V. Prants, “Mechanism of destruction of transport barriers in geophysical jets with Rossby waves”, Phys Rev E, 81:1 (2010), 017202  crossref  adsnasa  isi  elib  scopus
    15. E. A. Ryzhov, K. V. Koshel’, “Chaotic transport and mixing of a passive admixture by vortex flows behind obstacles”, Izv Atmos Ocean Phys, 46:2 (2010), 184  crossref  zmath  isi  elib  scopus
    16. Uleysky M.Yu., Budyansky M.V., Prants S.V., “Chaotic transport across two-dimensional jet streams”, J. Exp. Theor. Phys, 111:6 (2010), 1039–1049  crossref  adsnasa  isi  elib  scopus
    17. M. A. Guzev, Yu. G. Izrailskii, K. V. Koshel, “Effekt globalnoi khaotizatsii v tsepochke chastits”, Nelineinaya dinam., 6:2 (2010), 291–305  mathnet
    18. Carlson D.F., Fredj E., Gildor H., Rom-Kedar V., “Deducing an Upper Bound to the Horizontal Eddy Diffusivity Using a Stochastic Lagrangian Model”, Environ. Fluid Mech., 10:5 (2010), 499–520  crossref  isi  scopus
    19. Prants S.V., Budyansky M.V., Ponomarev V.I., Uleysky M.Yu., “Lagrangian study of transport and mixing in a mesoscale eddy street”, Ocean Modelling, 2011, no. 1–2, 114–125  crossref  adsnasa  isi  elib  scopus
    20. E. A. Ryzhov, K. V. Koshel, “Estimating the size of the regular region of a topographically trapped vortex”, Geophysical & Astrophysical Fluid Dynamics, 105:4-5 (2011), 536  crossref  mathscinet  adsnasa  isi  scopus
    21. Mikhail A. Sokolovskiy, Konstantin V. Koshel, Xavier Carton, “Baroclinic multipole evolution in shear and strain”, Geophysical & Astrophysical Fluid Dynamics, 105:4-5 (2011), 506  crossref  mathscinet  isi  scopus
    22. E.A. Ryzhov, “On changing the size of the atmosphere of a vortex pair embedded in a periodic external shear flow”, Physics Letters A, 375:44 (2011), 3884  crossref  zmath  adsnasa  isi  elib  scopus
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    63. Prants S.V., “Laser-Induced Climbing of Cold Atoms Against the Gravity”, J. Russ. Laser Res., 37:5 (2016), 459–464  crossref  isi  scopus
    64. Fredj E., Carlson D.F., Amitai Ya., Gozolchiani A., Gildor H., “The particle tracking and analysis toolbox (PaTATO) for Matlab”, Limnol. Oceanogr. Meth., 14:9 (2016), 586–599  crossref  isi  elib  scopus
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    66. Koshel K.V., Ryzhov E.A., “Parametric resonance in the dynamics of an elliptic vortex in a periodically strained environment”, Nonlinear Process Geophys., 24:1 (2017), 1–8  crossref  isi  elib  scopus
    67. Ryzhov E.A., “Nonlinear Dynamics of An Elliptic Vortex Embedded in An Oscillatory Shear Flow”, Chaos, 27:11 (2017), 113101  crossref  mathscinet  isi  scopus
    68. Prants S.V., Uleysky M.Yu., Budyansky M.V., “The Dynamical Systems Theory Approach to Transport and Mixing in Fluids”: Prants, SV Uleysky, MY Budyansky, MV, Lagrangian Oceanography: Large-Scale Transport and Mixing in the Ocean, Physics of Earth and Space Environments, Springer-Verlag Berlin, 2017, 1–17  crossref  isi
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    70. Prants S.V., Uleysky M.Yu., Budyansky M.V., “Lagrangian Tools to Study Transport and Mixing in the Ocean”: Prants, SV Uleysky, MY Budyansky, MV, Lagrangian Oceanography: Large-Scale Transport and Mixing in the Ocean, Physics of Earth and Space Environments, Springer-Verlag Berlin, 2017, 95–115  crossref  isi
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