Issues

 / 

2006

 / 

November

  

Reviews of topical problems


Chaotic advection in the ocean

,
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.

Fulltext pdf (1 MB)
Fulltext is also available at DOI: 10.1070/PU2006v049n11ABEH006066
PACS: 05.45.−a, 47.52.+j, 92.10.−c (all)
DOI: 10.1070/PU2006v049n11ABEH006066
URL: https://ufn.ru/en/articles/2006/11/c/
000245010300003
2-s2.0-33947653661
2006PhyU...49.1151K
Citation: Koshel K V, Prants S V "Chaotic advection in the ocean" Phys. Usp. 49 1151–1178 (2006)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Êîøåëü Ê Â, Ïðàíö Ñ Â «Õàîòè÷åñêàÿ àäâåêöèÿ â îêåàíå» ÓÔÍ 176 1177–1206 (2006); DOI: 10.3367/UFNr.0176.200611c.1177

References (126) Cited by (83) ↓ Similar articles (20)

  1. Ma Y, Wu Y et al 81 178 (2024)
  2. Didov A A, Uleysky M Yu, Budyansky M V Communications In Nonlinear Science And Numerical Simulation 116 106882 (2023)
  3. Zhang B, Liao Sh Physica D: Nonlinear Phenomena 455 133886 (2023)
  4. Prants S Symmetry 15 1942 (2023)
  5. Saporta-Katz O, Titi E S et al J Nonlinear Sci 33 (1) (2023)
  6. Mathematical Macroevolution in Diatom Research 1 (2023) p. 199
  7. Prants S V Progress In Oceanography 204 102790 (2022)
  8. Grossi M D, Kubat M, Özgökmen T M Ocean Modelling 156 101707 (2020)
  9. Silva I M, Schelin A B et al 30 (9) (2020)
  10. Reutov V P, Rybushkina G V 32 (10) (2020)
  11. Didov A A, Uleysky M Yu, Budyansky M V Communications In Nonlinear Science And Numerical Simulation 91 105426 (2020)
  12. Reutov V P, Rybushkina G V European Journal Of Mechanics - B/Fluids 74 211 (2019)
  13. Dang Cheng-hua, Wang J, Liang Q J Hydrodyn 31 873 (2019)
  14. Koshel K, Ryzhov E, Carton X Fluids 4 14 (2019)
  15. Koshel K V, Stepanov D V et al Phys. Rev. E 100 (6) (2019)
  16. Ryzhov E A, Koshel K V Ocean Dynamics 68 411 (2018)
  17. Didov A A, Uleysky M Yu Applied Mathematics And Computation 330 56 (2018)
  18. Uppal G, Vural D C 7 (2018)
  19. Ryzhov E A, Koshel K V et al 30 (1) (2018)
  20. Ryzhov E A 27 (11) (2017)
  21. Prants S V, Uleysky M Yu, Budyansky M V Lagrangian Oceanography Physics Of Earth And Space Environments Chapter 2 (2017) p. 19
  22. Prants S V, Uleysky M Yu, Budyansky M V Lagrangian Oceanography Physics Of Earth And Space Environments Chapter 4 (2017) p. 95
  23. Prants S V, Budyansky M V, Uleysky M Y Ocean Sci. 13 453 (2017)
  24. Ryzhov E A, Koshel K V Regul. Chaot. Dyn. 21 254 (2016)
  25. Ryzhov E A, Koshel K V 26 (11) (2016)
  26. Prants S V, Lobanov V B et al Deep Sea Research Part I: Oceanographic Research Papers 109 61 (2016)
  27. Prants S V J Russ Laser Res 37 459 (2016)
  28. Fredj E, Carlson D F et al Limnol. Oceanogr. Methods 14 586 (2016)
  29. Ryzhov E A, Sokolovskiy M A 28 (5) (2016)
  30. Bakunin O G Uspekhi Fizicheskikh Nauk 185 271 (2015) [Bakunin O G Phys.-Usp. 58 252 (2015)]
  31. Shevtsov N I, Stepanova E V Moscow Univ. Phys. 70 208 (2015)
  32. Guzev M A, Izrailsky Yu G et al Communications In Nonlinear Science And Numerical Simulation 23 28 (2015)
  33. Ryzhov E A, Koshel K V 25 (10) (2015)
  34. Koshel K V, Ryzhov E A, Zhmur V V Phys. Rev. E 92 (5) (2015)
  35. Prants S V, Ponomarev V I et al Ocean Modelling 86 128 (2015)
  36. Prants S V Phys. Scr. 90 074054 (2015)
  37. Mundel R, Fredj E et al 26 (12) (2014)
  38. Sokolovskiy M A, Verron Ja Atmospheric And Oceanographic Sciences Library Vol. Dynamics of Vortex Structures in a Stratified Rotating FluidDynamics of Finite-Core Vortices47 Chapter 3 (2014) p. 179
  39. Lee W-K, Borthwick A G L, Taylor P H Journal Of Hydraulic Research 52 219 (2014)
  40. Koshel K V, Ryzhov E A, Zyryanov V N Fluid Dyn. Res. 46 031405 (2014)
  41. Ryzhov E A, Izrailsky Yu G, Koshel K V Izv. Atmos. Ocean. Phys. 50 420 (2014)
  42. Prants S V, Budyansky M V, Uleysky M Yu Izv. Atmos. Ocean. Phys. 50 284 (2014)
  43. Ryzhov E A, Koshel K V EPL 108 24002 (2014)
  44. Prants S V, Budyansky M V, Uleysky M Yu Deep Sea Research Part I: Oceanographic Research Papers 90 27 (2014)
  45. Sokolovskiy M A, Verron Ja Atmospheric And Oceanographic Sciences Library Vol. Dynamics of Vortex Structures in a Stratified Rotating FluidThe Introductory Chapter47 Chapter 1 (2014) p. 1
  46. Ivanitskii G R, Deev A A, Khizhnyak E P Uspekhi Fizicheskikh Nauk 184 43 (2014) [Ivanitskii G R, Deev A A, Khizhnyak E P Phys.-Usp. 57 37 (2014)]
  47. Prants S V, Budyansky M V, Uleysky M Yu Nonlin. Processes Geophys. 21 279 (2014)
  48. Sokolovskiy M A, Verron Ja Atmospheric And Oceanographic Sciences Library Vol. Dynamics of Vortex Structures in a Stratified Rotating FluidDynamics of Discrete Vortices47 Chapter 2 (2014) p. 37
  49. Prants S V Eur. Phys. J. Spec. Top. 223 2723 (2014)
  50. Sokolovskiy M A, Verron Ja Atmospheric And Oceanographic Sciences Library Vol. Dynamics of Vortex Structures in a Stratified Rotating FluidThe Concluding Chapter47 Chapter 4 (2014) p. 317
  51. Ryzhov E A, Koshel K V Nonlin. Processes Geophys. 20 107 (2013)
  52. Prants S V Phys. Scr. 87 038115 (2013)
  53. Koshel K V, Ryzhov E A, Zhmur V V Nonlin. Processes Geophys. 20 437 (2013)
  54. Ryzhov E A, Koshel K V EPL 102 44004 (2013)
  55. Toledo B A, Chian A C -L et al Phys. Rev. E 87 (2) (2013)
  56. Prants S V, Andreev A G et al Ocean Modelling 72 143 (2013)
  57. Prants S V, Ponomarev V I et al Izv. Atmos. Ocean. Phys. 49 82 (2013)
  58. Makarov D V, Kon’kov L E et al Phys. Rev. E 87 (1) (2013)
  59. Ryzhov E A, Koshel K V, Carton X J European Journal Of Mechanics - B/Fluids 34 121 (2012)
  60. Virovlyansky A L, Makarov D V, Prants S V Uspekhi Fizicheskikh Nauk 182 19 (2012)
  61. Metcalfe G, Speetjens M F M et al Advances In Applied Mechanics Vol. 45 (2012) p. 109
  62. Aharon R, Rom-Kedar V, Gildor H 24 (5) (2012)
  63. Prants S V, Uleysky M Yu, Budyansky M V Dokl. Earth Sc. 447 1269 (2012)
  64. Koshel K V, Ryzhov E A Physics Letters A 376 744 (2012)
  65. Ryzhov E A Physics Letters A 375 3884 (2011)
  66. Ryzhov E A, Koshel K V Geophysical & Astrophysical Fluid Dynamics 105 536 (2011)
  67. Sokolovskiy M A, Koshel K V, Carton X Geophysical & Astrophysical Fluid Dynamics 105 506 (2011)
  68. Prants S V, Budyansky M V et al Ocean Modelling 38 114 (2011)
  69. Ryzhov E A, Koshel’ K V Izv. Atmos. Ocean. Phys. 46 184 (2010)
  70. Ryzhov E, Koshel K, Stepanov D Theor. Comput. Fluid Dyn. 24 59 (2010)
  71. Uleysky M Yu, Budyansky M V, Prants S V J. Exp. Theor. Phys. 111 1039 (2010)
  72. Uleysky M Yu, Budyansky M V, Prants S V Phys. Rev. E 81 (1) (2010)
  73. Rypina I I, Brown M G, Koçak H 39 675 (2009)
  74. Budyansky M V, Uleysky M Yu, Prants S V Phys. Rev. E 79 (5) (2009)
  75. Ryzhov E, Koshel K, Stepanov D Iutam Bookseries Vol. 150 Years of Vortex DynamicsBackground current concept and chaotic advection in an oceanic vortex flow20 Chapter 9 (2009) p. 75
  76. Gildor H, Fredj E et al 39 1975 (2009)
  77. Ryzhov E A, Koshel K V, Stepanov D V Tech. Phys. Lett. 34 531 (2008)
  78. Shklyaev S, Straube A V New J. Phys. 10 063030 (2008)
  79. Izrailsky Yu G, Koshel K V, Stepanov D V 18 (1) (2008)
  80. Koshel K V, Sokolovskiy M A, Davies P A Fluid Dyn. Res. 40 695 (2008)
  81. Uleysky M Yu, Budyansky M V, Prants S V J. Phys. A: Math. Theor. 41 215102 (2008)
  82. Le Borgne T, Dentz M, Carrera Je Phys. Rev. E 78 (2) (2008)
  83. Uleysky M Yu, Budyansky M V, Prants S V Chaos 17 043105 (2007)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions