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

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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)

REVIEWS OF TOPICAL PROBLEMS

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.

DOI: https://doi.org/10.3367/UFNr.0176.200611c.1177

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Full text: http://www.ufn.ru/ru/articles/2006/11/c/

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

Bibliographic databases:

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

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:

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
Yu. G. Izrailsky, K. V. Koshel, D. V. Stepanov, “Determination of the optimal excitation frequency range in background flows”, Chaos, 18:1 (2008), 013107
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
Tanguy Le Borgne, Jesus Carrera, “Spatial Markov processes for modeling Lagrangian particle dynamics in heterogeneous porous media”, Phys Rev E, 78:2 (2008), 026308
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
Ryzhov, EA, “Evaluating the stochastic layer thickness in a two-layer topographic vortex model”, Technical Physics Letters, 34:6 (2008), 531
Shklyaev, S, “Particle entrapment in a fluid suspension as a feedback effect”, New Journal of Physics, 10 (2008), 063030
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
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
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
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
E. Ryzhov, K. Koshel, D. Stepanov, “Background current concept and chaotic advection in an oceanic vortex flow”, Theoret Comput Fluid Dynamics, 2009
Budyansky M.V., Uleysky M.Yu., Prants S.V., “Cross-Frontal Chaotic Transport in Oceanic Jet Currents”, Topics on Chaotic Systems, 2009, 58–69
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
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
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
M. A. Guzev, Yu. G. Izrailskii, K. V. Koshel, “Effekt globalnoi khaotizatsii v tsepochke chastits”, Nelineinaya dinam., 6:2 (2010), 291–305
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
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
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
Mikhail A. Sokolovskiy, Konstantin V. Koshel, Xavier Carton, “Baroclinic multipole evolution in shear and strain”, Geophysical & Astrophysical Fluid Dynamics, 105:4-5 (2011), 506
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
K.V. Koshel, E.A. Ryzhov, “Parametric resonance with a point-vortex pair in a nonstationary deformation flow”, Physics Letters A, 2011
Zhmur V.V., Ryzhov E.A., Koshel K.V., “Ellipsoidal vortex in a nonuniform flow: Dynamics and chaotic advections”, Journal of Marine Research, 69:2–3 (2011), 435–461
Prants S.V., Uleysky M.Yu., Budyansky M.V., “Numerical simulation of propagation of radioactive pollution in the ocean from the Fukushima Dai-ichi nuclear power plant”, Doklady Earth Sciences, 439:2 (2011), 1179–1182
A. L. Virovlyansky, D. V. Makarov, S. V. Prants, “Ray and wave chaos in underwater acoustic waveguides”, Phys. Usp., 55:1 (2012), 18–46
E.A. Ryzhov, K.V. Koshel, X.J. Carton, “Passive scalar advection in the vicinity of two point vortices in a deformation flow”, European Journal of Mechanics - B/Fluids, 2012
Rotem Aharon, Vered Rom-Kedar, Hezi Gildor, “When complexity leads to simplicity: Ocean surface mixing simplified by vertical convection”, Phys. Fluids, 24:5 (2012), 056603
Metcalfe G., Speetjens M.F.M., Lester D.R., Clercx H.J.H., “Beyond Passive: Chaotic Transport in Stirred Fluids”, Advances in Applied Mechanics, Vol 45, Adv. Appl. Mech., 45, eds. vanderGiessen E., Aref H., Elsevier Academic Press Inc, 2012, 109–188
S. V. Prants, M. Yu. Uleysky, M. V. Budyansky, “Lagrangian coherent structures in the ocean favorable for fishery”, Dokl. Earth Sc, 447:1 (2012), 1269
Shilov I.O., “Issledovanie khaotichnosti okeanologicheskikh protsessov”, Izvestiya russkogo geograficheskogo obschestva, 144:1 (2012), 27–38
D. V. Makarov, L. E. Kon'kov, M. Yu. Uleysky, P. S. Petrov, “Wave chaos in a randomly inhomogeneous waveguide: Spectral analysis of the finite-range evolution operator”, Phys. Rev. E, 87:1 (2013)
M. A. Sokolovskiy, K. V. Koshel, J. Verron, “Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 1. Analysis of relative and absolute motions”, J. Fluid Mech, 717 (2013), 232
S V Prants, “Dynamical systems theory methods to study mixing and transport in the ocean”, Phys. Scr, 87:3 (2013), 038115
K. V. Koshel, M. A. Sokolovskiy, J. Verron, “Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 2. Regular and chaotic advection around the perturbed steady states”, J. Fluid Mech, 717 (2013), 255
B. A. Toledo, A. C.-L. Chian, E. L. Rempel, R. A. Miranda, P. R. Muñoz, J. A. Valdivia, “Wavelet-based multifractal analysis of nonlinear time series: The earthquake-driven tsunami of 27 February 2010 in Chile”, Phys. Rev. E, 87:2 (2013)
S. V. Prants, V. I. Ponomarev, M. V. Budyansky, M. Yu. Uleysky, P. A. Fayman, “Lagrangian analysis of mixing and transport of water masses in the marine bays”, Izv. Atmos. Ocean. Phys, 49:1 (2013), 82
E. A. Ryzhov, K. V. Koshel, “Dynamics of a vortex pair interacting with a fixed point vortex”, EPL, 102:4 (2013), 44004
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G. R. Ivanitskii, A. A. Deev, E. P. Khizhnyak, “Long-term dynamic structural memory in water: can it exist?”, Phys. Usp., 57:1 (2014), 37–65
Wei-Koon Lee, A.G..L. Borthwick, P.H.. Taylor, “Wind-induced chaotic mixing in a two-layer density-stratified shallow flow”, Journal of Hydraulic Research, 2014, 1
S.V. Prants, M.V. Budyansky, M.Yu. Uleysky, “Identifying Lagrangian fronts with favourable fishery conditions”, Deep Sea Research Part I: Oceanographic Research Papers, 2014
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E. A. Ryzhov, Yu. G. Izrailsky, K. V. Koshel, “Vortex dynamics of a fluid near a boundary with a circular cavity”, Izv. Atmos. Ocean. Phys, 50:4 (2014), 420
E. A. Ryzhov, K. V. Koshel, “Two-point-vortex evolution in an oscillatory shear flow with rotation”, EPL, 108:2 (2014), 24002
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S. V. Prants, “Chaotic Lagrangian transport and mixing in the ocean”, Eur. Phys. J. Spec. Top, 223:13 (2014), 2723
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O. G. Bakunin, “Stochastic instability and turbulent transport. Characteristic scales, increments, and diffusion coefficients”, Phys. Usp., 58:3 (2015), 252–285
S.V. Prants, “Backward-in-time methods to simulate large-scale transport and mixing in the ocean”, Phys. Scr, 90:7 (2015), 074054
N. I. Shevtsov, E. V. Stepanova, “Application of photometry method to some hydrodynamic objectives”, Moscow Univ. Phys, 70:3 (2015), 208
Koshel K.V., Ryzhov E.A., Zhmur V.V., “Effect of the Vertical Component of Diffusion on Passive Scalar Transport in An Isolated Vortex Model”, Phys. Rev. E, 92:5 (2015), 053021
Ryzhov E.A., Koshel K.V., “Global Chaotization of Fluid Particle Trajectories in a Sheared Two-Layer Two-Vortex Flow”, Chaos, 25:10 (2015), 103108
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Eugene A. Ryzhov, Konstantin V. Koshel, “Parametric Instability of a Many Point-vortex System in a Multi-layer Flow Under Linear Deformation”, Regul. Chaotic Dyn., 21:3 (2016), 254–266
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Ryzhov E.A., Sokolovskiy M.A., “Interaction of a two-layer vortex pair with a submerged cylindrical obstacle in a two layer rotating fluid”, Phys. Fluids, 28:5 (2016), 056602
Prants S.V., “Laser-Induced Climbing of Cold Atoms Against the Gravity”, J. Russ. Laser Res., 37:5 (2016), 459–464
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
Ryzhov E.A., Koshel K.V., “Resonance Phenomena in a Two-Layer Two-Vortex Shear Flow”, Chaos, 26:11 (2016), 113116
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
Ryzhov E.A., “Nonlinear Dynamics of An Elliptic Vortex Embedded in An Oscillatory Shear Flow”, Chaos, 27:11 (2017), 113101
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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
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Koshel K.V. Ryzhov E.A. Carton X.J., “Vortex Interactions Subjected to Deformation Flows: a Review”, Fluids, 4:1 (2019), 14

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