Chaotic advection in the ocean

K.V. Koshel, S.V. Prants
Pacific Oceanological Institute, Far-Eastern Division of the Russian Academy of Sciences, Baltiiskaya str. 43, Vladivostok, 690041, Russian Federation

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.

PACS: 05.45.−a, 47.52.+j, 92.10.−c (all)
DOI: 10.1070/PU2006v049n11ABEH006066
URL: https://ufn.ru/en/articles/2006/11/c/
Web of Science

000245010300003
Scopus

2-s2.0-33947653661
ADS NASA

2006PhyU...49.1151K
Citation: Koshel K V, Prants S V "Chaotic advection in the ocean" Phys. Usp. 49 1151–1178 (2006)

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Оригинал: Кошель К В, Пранц С В «Хаотическая адвекция в океане» УФН 176 1177–1206 (2006); DOI: 10.3367/UFNr.0176.200611c.1177

References (126) Cited by (87) Similar articles (20) ↓

M.V. Kalashnik, M.V. Kurgansky, O.G. Chkhetiani “Baroclinic instability in geophysical fluid dynamics” Phys. Usp. 65 1039–1070 (2022)
O.G. Onishchenko, O.A. Pokhotelov et al “Structure and dynamics of concentrated mesoscale vortices in planetary atmospheres” Phys. Usp. 63 683–697 (2020)
B.M. Smirnov “Electrical cycle in the Earth’s atmosphere” Phys. Usp. 57 1041–1062 (2014)
A.N. Vulfson, O.O. Borodin “The system of convective thermals as a generalized ensemble of Brownian particles” Phys. Usp. 59 109–120 (2016)
O.G. Onishchenko, O.A. Pokhotelov, N.M. Astaf’eva “Generation of large-scale eddies and zonal winds in planetary atmospheres” Phys. Usp. 51 577–589 (2008)
V.M. Fedorov “Problems of parameterization of the radiation block in physical and mathematical climate models and the possibility of their solution” Phys. Usp. 66 914–930 (2023)
F.V. Dolzhanskii, V.A. Krymov, D.Yu. Manin “Stability and vortex structures of quasi-two-dimensional shear flows” Sov. Phys. Usp. 33 (7) 495–520 (1990)
L.Kh. Ingel, M.V. Kalashnik “Nontrivial features in the hydrodynamics of seawater and other stratified solutions” Phys. Usp. 55 356–381 (2012)
Yu.A. Stepanyants, A.L. Fabrikant “Propagation of waves in hydrodynamic shear flows” Sov. Phys. Usp. 32 783–805 (1989)
S.V. Bulanov, Ja.J. Wilkens et al “Laser ion acceleration for hadron therapy” Phys. Usp. 57 1149–1179 (2014)
D.N. Razdoburdin, V.V. Zhuravlev “Transient dynamics of perturbations in astrophysical disks” Phys. Usp. 58 1031–1058 (2015)
V.M. Fedorov “Earth insolation variation and its incorporation into physical and mathematical climate models” Phys. Usp. 62 32–45 (2019)
A.L. Virovlyansky, D.V. Makarov, S.V. Prants “Ray and wave chaos in underwater acoustic waveguides” Phys. Usp. 55 18–46 (2012)
A. Loskutov “Fascination of chaos” Phys. Usp. 53 1257–1280 (2010)
V.S. Anishchenko, T.E. Vadivasova et al “Statistical properties of dynamical chaos” Phys. Usp. 48 151–166 (2005)
G.M. Zaslavskii, R.Z. Sagdeev et al “Minimal chaos, stochastic webs, and structures of quasicrystal symmetry” Sov. Phys. Usp. 31 887–915 (1988)
S.P. Kuznetsov “Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics” Phys. Usp. 54 119–144 (2011)
A.V. Slunyaev, D.E. Pelinovsky, E.N. Pelinovsky “Rogue waves in the sea: observations, physics, and mathematics” Phys. Usp. 66 148–172 (2023)
A.V. Getling “Formation of spatial structures in Rayleigh—Bénard convection” Sov. Phys. Usp. 34 (9) 737–776 (1991)
V.P. Budaev, S.P. Savin, L.M. Zelenyi “Investigation of intermittency and generalized self-similarity of turbulent boundary layers in laboratory and magnetospheric plasmas: towards a quantitative definition of plasma transport features” Phys. Usp. 54 875–918 (2011)

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