RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

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

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 (83) Similar articles (20)

  1. Dijkstra H A Nonlinear Physical Oceanography (Atmospheric And Oceanographic Sci. Library, Vol. 22) (Dordrecht: Kluwer, 2000)
  2. Ottino J M The Kinematics Of Mixing: Stretching, Chaos, And Transport (Cambridge: Cambridge Univ. Press, 1989)
  3. Wiggins S Annu. Rev. Fluid Mech. 37 295 (2005)
  4. Sarkisyan A S, Akulichev V A (Red.) Izbrannye Trudy Professora V.F. Kozlova (Izhevsk: Institut komp’yuternykh issledovanii, 2006)
  5. Dutkiewicz S, Griffa A, Olson D B J. Geophys. Res. 98 16487 (1993)
  6. Likhtenberg A, Liberman M Regulyarnaya i Stokhasticheskaya Dinamika (M.: Mir, 1984)
  7. Zaslavskii G M, Sagdeev R Z Vvedenie v Nelineinuyu Fiziku: Ot Mayatnika do Turbulentnosti i Khaosa (M.: Nauka, 1988)
  8. Zaslavskii G M Fizika Khaosa v Gamil’tonovykh Sistemakh (Izhevsk: Institut komp’yuternykh issledovanii, 2004)
  9. Arnol’d V I, Kozlov V V, Neishtadt A I Matematicheskie Aspekty Klassicheskoi i Nebesnoi Mekhaniki (Itogi Nauki i Tekhniki. Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya, T. 3, Pod Red. R V Galekrelidze) (M.: VINITI, 1985)
  10. Aref H J. Fluid Mech. 143 1 (1984)
  11. Aref H Phys. Fluids 14 1315 (2002)
  12. Arnold V I C.R. Hebd. Seances Acad. Sci. 261 17 (1965)
  13. Hénon M C.R. Hebd. Seances Acad. Sci. 262 312 (1966)
  14. Eckart C J. Mar. Res. 7 265 (1948)
  15. Welander P Tellus 7 141 (1955)
  16. Lamb G Gidrodinamika (M.-L.: OGIZ, 1947)
  17. Poincaré H C.R. Acad. Sci. Paris 123 1224 (1896); Puankare A Izbrannye Trudy Vol. 1, 2 (M.: Nauka, 1971)
  18. Kozlov V V Simmetrii, Topologiya i Rezonansy v Gamil’tonovoi Mekhanike (Izhevsk: Izd-vo Udm. gos. un-ta, 1995)
  19. Mel’nikov V K Trudy Mosk. Mat. Obshchestva 12 3 (1963)
  20. Rom-Kedar V, Leonard A, Wiggins S J. Fluid Mech. 214 347 (1990)
  21. MacKay R S, Meiss J D, Percival I C Physica D 13 55 (1984)
  22. Budyanskii M V, Prants S V Pis’ma ZhTF 27 (12) 51 (2001)
  23. Budyanskii M V, Uleiskii M Yu, Prants S V Zh. Eksp. Teor. Fiz. 126 1167 (2004)
  24. Budyanskii M V, Uleiskii M Yu, Prants S V Dokl. Ross. Akad. Nauk 386 686 (2002)
  25. Budyanskii M V, Prants S V v Sb. Nelineinye Dinamicheskie Protsessy (k 80-letiyu so Dnya Rozhdeniya Uno Kopvillema, Pod red. S V Prantsa) (Vladivostok: Dal’nauka, 2004)
  26. Budyansky M, Uleysky M, Prants S Physica D 195 369 (2004)
  27. Budyansky M V, Uleysky M Yu, Prants S V in Proc. Fifth EUROMECH Nonlinear Dynamics Conf. (Ed. D H van Campen et al.) (Eindhoven: Eindhoven Univ. of Technology, 2005) p. 1489
  28. Mitchell K A et al. Chaos 13 880 (2003)
  29. Zhurbas V M, Okh I S, Pyzhevich M L Okeanologiya 43 660 (2003)
  30. Sainz-Trápaga S, Sugimoto T J. Oceanogr. 56 79 (2000)
  31. Bower A S, Lozier M S J. Phys. Oceanogr. 24 1399 (1994)
  32. Bower A S, Rossby T J. Phys. Oceanogr. 19 1177 (1989)
  33. Osborne A R et al. Tellus A 41 416 (1989)
  34. Osborne A R, Caponio R Phys. Rev. Lett. 64 1733 (1990)
  35. Brown M G, Smith K B J. Phys. Oceanogr. 20 139 (1990)
  36. Meyers S D, Magnan J F, O’Brien J J Nonlinear Proc. Geophys. 1 (1) 45 (1994)
  37. Ouml;zgökmen T M et al. J. Phys. Oceanogr. 31 2691 (2001)
  38. Assireu A T et al. Physica D 168 - 169 397 (2002)
  39. Bower A S J. Phys. Oceanogr. 21 173 (1991)
  40. Samelson R M J. Phys. Oceanogr. 22 431 (1992)
  41. Uleiskii M Yu, Budyanskii M V, Prants S V Nelineinaya Dinamika 2 165 (2006)
  42. Meyers S D J. Phys. Oceanogr. 24 1641 (1994)
  43. Duan J, Wiggins S J. Phys. Oceanogr. 26 1176 (1996)
  44. Dutkiewicz S, Paldor N J. Phys. Oceanogr. 24 2418 (1994)
  45. Yuan G-C, Pratt L J, Jones C K R T J. Phys. Oceanogr. 34 1991 (2004)
  46. Yang H, Liu Z Geophys. Res. Lett. 21 545 (1994)
  47. Yang H J. Phys. Oceanogr. 26 115 (1996)
  48. Poje A C, Haller G J. Phys. Oceanogr. 29 1649 (1999)
  49. Yang H, Liu Z J. Phys. Oceanogr. 27 1258 (1997)
  50. Poplvani L M, Wisdom J Phys. Fluids A 2 123 (1990)
  51. Dahleh M D Phys. Fluids A 4 1979 (1992)
  52. Kozlov V F, Gurulev A Yu Meteorologiya Gidrologiya (6) 70 (1994)
  53. Kozlov V F Izv. RAN. Ser. Fiz. Atm. Okeana 31 245 (1995)
  54. Pedlosky J Geophysical Fluid Dynamics 2nd ed. (New York: Springer-Verlag, 1987)
  55. Tikhonov A N, Samarskii A A Uravneniya Matematicheskoi Fiziki (M.: Nauka, 1997)
  56. Rhines P B, Young W R J. Fluid Mech. 122 347 (1982)
  57. Kozlov V F, Gurulev A Yu Izv. RAN. Ser. Fiz. Atm. Okeana 34 395 (1998)
  58. Kozlov V F, Makarov V G Okeanologiya 35 658 (1995)
  59. Kozlov V F, Makarov V G Okeanologiya 36 493 (1996)
  60. Kozlov V F, Makarov V G Okeanologiya 38 505 (1998)
  61. Kozlov V F, Koshel’ K V Izv. RAN. Ser. Fiz. Atm. Okeana 35 137 (1999)
  62. Liu Z, Yang H J. Phys. Oceanogr. 24 1768 (1994)
  63. Berloff P S, Meacham S P J. Mar. Res. 55 407 (1997)
  64. Meacham S P, Berloff P S J. Mar. Res. 55 523 (1997)
  65. Ipatova V M, Filatov A N Izv. RAN. Ser. Fiz. Atm. Okeana 33 443 (1997)
  66. Pierrehumbert R T, Yang H J. Atmos. Sci. 50 2462 (1993)
  67. Kozlov V F, Koshel’ K V Izv. RAN. Ser. Fiz. Atm. Okeana 36 119 (2000)
  68. Jones S W, Aref H Phys. Fluids 31 469 (1988)
  69. Pierrehumbert R T Geophys. Astrophys. Fluid Dyn. 58 285 (1991)
  70. Yang H Int. J. Bifurc. Chaos 3 1013 (1993)
  71. Hogg N G J. Fluid Mech. 58 517 (1973)
  72. Kozlov V F Modeli Topograficheskikh Vikhrei v Okeane (M.: Nauka, 1983)
  73. Zyryanov V N Topograficheskie Vikhri v Dinamike Morskikh Techenii (M.: Inst. vod. problem RAN, 1995)
  74. Mullineaux L S, Mills S W Deep-Sea Res. I 44 745 (1997)
  75. Mikhailik E V, Khanchuk A I Dokl. Ross. Akad. Nauk 394 234 (2004)
  76. Goldner D R, Chapman D C Deep-Sea Res. I 44 719 (1997)
  77. Deese H E, Pratt L J, Helfrich K R J. Phys. Oceanogr. 32 1870 (2002)
  78. Sokolovskiy M A, Zyryanov V N, Davies P A Geophys. Astrophys. Fluid Dyn. 88 1 (1998)
  79. Carnevale G F, Kloosterziel R C, van Heijst G J J. Fluid Mech. 233 119 (1991)
  80. Miln-Tomson L M Teoreticheskaya Gidrodinamika (M.: Mir, 1964)
  81. Gledzer A E Izv. RAN. Ser. Fiz. Atm. Okeana 35 838 (1999)
  82. Wiggins S Introduction To Applied Nonlinear Dynamical Systems And Chaos (New York: Springer-Verlag, 1990)
  83. Wiggins S Chaotic Transport In Dynamical Systems (New York: Springer-Verlag, 1992)
  84. Kozlov V F, Koshel’ K V Izv. RAN. Ser. Fiz. Atm. Okeana 37 378 (2001)
  85. Shevchenko I I Phys. Lett. A 241 53 (1998)
  86. Izrailsky Yu G, Kozlov V F, Koshel K V Phys. Fluids 16 3173 (2004)
  87. Krauskopf B, Osinga H J. Comput. Phys. 146 404 (1998)
  88. Kozlov V F, Koshel’ K V, Stepanov D V Dal’nevostochnyi Matem. Zhurn. 2 (2) 89 (2001)
  89. Kozlov V F, Koshel’ K V, Stepanov D V Izv. RAN. Ser. Fiz. Atm. Okeana 41 242 (2005)
  90. Koshel’ K V, Stepanov D V Regul. Chaotic Dyn. 9 (4) 439 (2004)
  91. Borisov A V, Mamaev I S, Sokolovskii M A (Red.) Fundamental’nye i Prikladnye Problemy Teorii Vikhrei (M. - Izhevsk: Institut komp’yuternykh issledovanii, 2003)
  92. Rom-Kedar V, Poje A C Phys. Fluids 11 2044 (1999)
  93. Zaslavskii G M Stokhastichnost’ Dinamicheskikh Sistem (M.: Nauka, 1984)
  94. Koshel’ K V, Stepanov D V Dokl. Ross. Akad. Nauk 407 542 (2006)
  95. Shevchenko I I, Mel’nikov A V Pis’ma ZhETF 77 772 (2003)
  96. Izrail’skii Yu G, Koshel’ K V, Stepanov D V Dokl. Ross. Akad. Nauk 407 773 (2006)
  97. Chirikov B V Phys. Rep. 52 263 (1979)
  98. Sommeria J, Meyers S D, Swinney H L Nature 337 58 (1989)
  99. Behringer R P, Meyers S D, Swinney H L Phys. Fluids A 3 1243 (1991)
  100. Solomon T H, Weeks E R, Swinney H L Phys. Rev. Lett. 71 3975 (1993)
  101. Shlesinger M F, Zaslavsky G M, Klafter J Nature 363 31 (1993)
  102. Weeks E R, Urbach J S, Swinney H L Physica D 97 291 (1996)
  103. Hart J E Tellus A 37 286 (1985)
  104. Mundt M D, Hart J E, Ohlsen D R J. Fluid Mech. 300 311 (1995)
  105. Klein P Fluid Dyn. Res. 5 235 (1990)
  106. Danilov S D et al. Chaos 6 297 (1996)
  107. Danilov S D i dr. Izv. RAN. Ser. Fiz. Atm. Okeana 35 810 (1999)
  108. Danilov S D, Dovzhenko V A, Yakushkin I G Zh. Eksp. Teor. Fiz. 118 483 (2000)
  109. Dolzhanskii F V, Krymov V A, Manin D Yu Usp. Fiz. Nauk 160 (7) 1 (1990); Dolzhanskii F V, Krymov V A, Manin D Yu Sov. Phys. Usp. 33 495 (1990)
  110. Makarov D V et al. Phys. Rev. E 73 066210 (2006)
  111. Makarov D V, Uleysky M Yu, Prants S V Chaos 14 79 (2004)
  112. Klyatskin V I, Koshel’ K V Usp. Fiz. Nauk 170 771 (2000); Klyatskin V I, Koshel’ K V Phys. Usp. 43 717 (2000)
  113. Klyatskin V I Diffuziya i Klasterizatsiya Passivnoi Primesi v Sluchainykh Gidrodinamicheskikh Potokakh (M.: Fizmatlit, 2005)
  114. Tél T et al. Phys. Rep. 413 91 (2005)
  115. Kuznetsov L et al. Physica D 191 81 (2004)
  116. Knobloch E, Weiss J B Phys. Rev. A 36 1522 (1987)
  117. Weiss J B Phys. Fluids A 3 1379 (1991)
  118. del-Castillo-Negrete D, Morrison P J Phys. Fluids A 5 948 (1993)
  119. Ngan K, Shepherd T G J. Fluid Mech. 334 315 (1997)
  120. del-Castillo-Negrete D Phys. Fluids 10 576 (1998)
  121. Zaslavskii G M i dr. Slabyi Khaos i Kvaziregulyarnye Struktury (M.: Nauka, 1991)
  122. Pierrehumbert R T Phys. Fluids A 3 1250 (1991)
  123. Pierce R B, Fairlie T D A J. Geophys. Res. 98 18589 (1993)
  124. Bowman K P J. Geophys. Res. 98 23013 (1993)
  125. Waugh D W, Plumb R A J. Atmos. Sci. 51 530 (1994)
  126. Shuckburgh E, Haynes P Phys. Fluids 15 3342 (2003)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions