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Linear stability analysis of the three-dimensional thermally-driven ocean circulation: application to interdecadal oscillations Cover

Linear stability analysis of the three-dimensional thermally-driven ocean circulation: application to interdecadal oscillations

Open Access
|Jan 2001

References

  1. Bryan , F. O. 1987 . Parameter sensitivity of primitive equation ocean general circulation models . 17 970 985 .
  2. Bryan , K. and Hansen , F. C . 1995 . A stochastic model of North Atlantic climate variability on decade-to-century time scales. In: Natural climate variability on decade-to-century time scales . National Research Council, pp. 355 - 364 .
  3. Chen , F. and Ghil , M . 1996 . Interdecadal variability in a hybrid coupled ocean—atmosphere model. J. Phys. Oceanogr . 26 , 1561 - 1578 .
  4. Colin de Verdière , A. and Huck , T. 1999 . Baroclinic instability: an oceanic wavemaker for interdecadal variability. J. Phys. Oceanogr . 29 , 893 910.
  5. Colin de Verdiere , A. and Huck, T. 2000 . A 2 degree of freedom dynamical system for interdecadal oscillations of the ocean-atmosphere . J. Cimate 13 , 2801 2817.
  6. Delworth , T. , Manabe , S. and Stouffer , R. J . 1993 . Inter-decadal variations of the thermohaline circulation in a coupled ocean-atmosphere model . J. Climate 1993 2011 .
  7. Delworth , T. L. and Greatbatch , R. J . 2000 . Multidecadal thermohaline circulation variability driven by atmo-spheric surface flux forcing . J. Climate 13 , 1481 1495 .
  8. Delworth , T. L. and Mann , M. E . 2000 . Observed and simulated multidecadal variability in the North Atlan-tic . Clim. Dyn . 16 , 661 676 .
  9. Dijkstra , H. A. , Molemaker , M. J. , Van der Ploeg , A. and Botta , E. F. F. 1995 . An efficient code to compute non-parallel steady flows and their linear stability. Computers and Fluids 24 , 415 434.
  10. Dijkstra , H. A. and Molemaker , M. J . 1999 . Imperfec-tions of the North Atlantic wind-driven ocean circula-tion: Continental geometry and windstress shape . J. Mar. Res . 57 , 1 28 .
  11. Drbohlav , J. and Jin , F.-F . 1998 . Interdecadal variability in a zonally averaged ocean model: an adjustment oscillator . J. Phys. Oceanogr 28 , 1252 1270 .
  12. Fanning , A. F. and Weaver , A. J . 1998 . Thermohaline variability: the effects of horizontal resolution and diffusion . J. Climate 11 , 709 715 .
  13. Giering , R . 1999 . Tangent linear and adjoint model com-piler . TAMC 5.2 Users manual version 1.4, MIT Center for Global Change Science, 64 pp ( http : //puddle.mit.edu/ralf/tamc) .
  14. Greatbatch , RJ. . and Zhang , S. 1995 . An interdecadal oscillation in an idealized ocean basin forced by con-stant heat flux. J. Climate 8 , 81 91.
  15. Greatbatch , R. J. and Peterson , K. A . 1996 . Interdecadal variability and oceanic thermohaline adjustment . J. Geophys. Res. 101 , 20 , 467-20 , 482 .
  16. Greatbatch , RJ. ., Peterson , K. A. and Roth , H. 1997 . Interdecadal variability in a coarse resolution model with North Atlantic bottom topography. Technical Report, Department of Oceanography, Dalhousie University, Halifax, Nova Scotia, Canada.
  17. Guckenheimer , J. and Holmes , P . 1983 . Nonlinear oscilla- tions, dynamical systems, and bifurcations of vector fields. Applied Mathematical Sciences 42, Springer-Verlag, New York, 459 pp.
  18. Haney , R . 1971 . Surface thermal boundary condition for ocean circulation models . J. Phys. Oceanogr . 1 , 241 248 .
  19. Huang , R. X. and Chou , RL. . 1994 . Parameter sensitivity of the saline circulation. Clin. Dyn . 9 , 391 409.
  20. Huck , T. , Cohn de Verdiere , A. and Weaver , A. J. 1999 . Interdecadal variability of the thermohaline circula-tion in box-ocean models forced by fixed surface fluxes. J. Phys. Oceanogr . 29 , 865 892.
  21. Huck , T. , Vallis , G. K. and Cohn de Verdiere A. 2001 . On the robustness of the interdecadal modes of the thermohaline circulation. .1 . Climate 14 , 940 963 .
  22. Kerr , R. A . 2000 . A North Atlantic climate pacemaker for the centuries . Science 288 , 1984 1986 .
  23. Klinger , B. A. , Marshall , J. and Send , U . 1996 . Repres-entation of convective plumes by vertical adjustment . J. Geophys. Res. 101 , 18 , 175-18 , 182 .
  24. Kushnir , Y . 1994 . Interdecadal variations in North Atlantic Sea Surface Temperature and associated atmospheric conditions . J. Climate 7 , 141 157 .
  25. Malkus , W. R . 1972 . Non-periodic convection at high and low Pranda number . Mémoires Societe Royale des Sci-ences de Liege , 6° série , IV , pp. 125 128 .
  26. Mann , M. E. , Bradley , R. S. and Hughes , M. K . 1998 . Global-scale temperature patterns and climate forcing over the past 6 centuries . Nature 392 , 779 787 .
  27. Meacham , S. P . 2000 . Low-frequency variability in the wind-driven circulation . J. Phys. Oceanogr . 30 , 269 293 .
  28. Mikolajewicz , U. and Maier-Reimer , E . 1990 . Internal secular variability in an ocean general circulation model . Clin, Dyn . 4 , 145 156 .
  29. Miller , R. N. , Zaron , E. D. and Bennett , A. F . 1994 . Data assimilation in models with convective adjustment . Mon. Wea. Rev . 122 , 2607 2613 .
  30. Quon , C. and Ghil , M . 1992 . Multiple equilibria in ther-mosolutal convection due to salt-flux boundary condi-tions . J. Fluid Mech . 245 , 449 483 .
  31. Samelson , R. M. and Vallis , G. K . 1997a . Large-scale circulation with small diapycnal diffusion: the two-thermocline limit . J. Mar. Res . 55 , 223 275 .
  32. Samelson , R. M. and Vallis , G. K . 1997b . A simple friction and diffusion scheme for planetary geostrophic basin models . J. Phys. Oceanogr . 27 , 186 194 .
  33. Schmidt , G. A. and Mysak , L. A . 1996 . The stability of a zonally averaged thermohaline circulation model . Tellus 48 , 158 178 .
  34. Seager , R. , Kushnir , Y. and Cane , M. A . 1995 . On heat flux boundary condition for ocean models . J. Phys. Oceanogr . 25 , 3219 3230 .
  35. Sheremet , V. A. , Ierley , G. R. and Kamenkovich , V. M . 1997 . Eigenanalysis of the two-dimensional wind-driven ocean circulation problem . J. Mar. Res . 55 , 57 92 .
  36. Stammer , D. and Wunsch , C . 1996 . The determination of the large-scale circulation of the Pacific Ocean from satellite altimetry using model Green’s functions. J. Geophys. Res . 101 , 18 , 409 18 , 432.
  37. Timmermann , A. , Latif , M. , Voss , R. and Grötzner , A . 1998 . Northern hemispheric interdecadal variability: a coupled air-sea mode . J. Climate 11 , 1906 1931 .
  38. Tziperman , E. , Thacker , W. C. , Long , R. B. and Hwang , S.-M . 1992 . Oceanic data analysis using a general circulation model. Part I: Simulations . J. Phys. Oceanogr . 22 , 1434 1457 .
  39. Tziperman , E. , Toggweiler , J. R. , Feliks , Y. and Bryan , K . 1994 . Instability of the thermohaline circulation with respect to mixed boundary conditions: Is it really a problem for realistic models? J. Phys. Oceanogr . 24 , 217 232 .
  40. Tziperman , E ., 1997 . Inherently unstable climate behavi-our due to weak thermohaline ocean circulation . Nature 386 , 592 595 .
  41. Vallis , G. K . 1996 . From laminar flow to turbulence. In: An introduction to nonlinear physics (ed. L. Lam ). Springer-Verlag , pp. 308 - 357 .
  42. Vellinga , M . 1996 . Instability of two-dimensional ther-mohaline circulation . J. Phys. Oceanogr . 26 , 305 319 .
  43. Weaver , AJ. . and Sarachik , E. S . 1991 . Evidence for decadal variability in an ocean general circulation model: an advective mechanism. Atmos. Oceans 29 , 197 231.
  44. Weaver , AJ. ., Sarachik , E. S. and Marotzke , J. 1991 . Freshwater flux forcing of decadal and interdecadal oceanic variability. Nature 353 , 836 838.
  45. Winton , M . 1996 . The role of horizontal boundaries in parameter sensitivity and decadal-scale variability of coarse-resolution ocean general circulation models . J. Phys. Oceanogr . 26 , 289 304 .
  46. Wright , D. G. and Stocker, T. F. 1991 . A zonally aver-aged ocean model for the thermohaline circulation. Part I: model development and flow dynamics . J. Phys. Oceanogr . 21 , 1713– 1724 .
  47. Wright , D. and Stocker , T. 1992 . Sensitivities of a zonally-averaged global ocean circulation model. J. Geophys. Res . 97 , 12 , 707 12 , 730.
  48. Zou , X . 1997 . Tangent linear and adjoint of “on—off” processes and their feasibility for use in 4-dimensional variational data assimilation . Tellus 49A , 3 31 .
Language: English
Page range: 526 - 545
Submitted on: Mar 6, 2000
Accepted on: Mar 22, 2001
Published on: Jan 1, 2001
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2001 Thierry Huck, Geoffrey K. Vallis, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.