Skip to main content
Have a personal or library account? Click to login
Comparing the linear and nonlinear buoyancy-driven circulation Cover

Comparing the linear and nonlinear buoyancy-driven circulation

By:  and    
Open Access
|Jan 2017

References

  1. Bryan , F. 1987 . Parameter sensitivity of primitive equation ocean general circulation models . J. Phys. Oceanogr. 17 , 970 985 . DOI: 10.1175/1520-0485(1987)017<;0970:PSOPEO>2.0.CO;2 .
  2. Cessi , P. and Wolfe , C. L. 2009 . Eddy-driven buoyancy gradients on eastern boundaries and their role in the thermocline . J. Phys. Oceanogr. 39 , 1595 1614 . DOI: 10.1175/2009JPO4063.1 .
  3. Cessi , P. , Wolfe , C. L. and Ludka , B. C. 2010 . Eastern-boundary contribution to the residual and meridional overturning circulations . J. Phys. Oceanogr. 40 , 2075 2090 . DOI: 10.1175/2010JPO4426.1 .
  4. Ganachaud , A. and Wunsch , C. 2000 . Improved estimates of global ocean circulation, heat transport and mixing from hydrographic data . Nature 408 , 453 457 . DOI: 10.1038/35044048 .
  5. Gent , P. R. and McWilliams , J. C. 1990 . Isopycnal mixing in ocean circulation models . J. Phys. Oceanogr. 20 , 150 155 . DOI: 10.1175/1520-0485(1990)020<;0150:IMIOCM>2.0.CO;2 .
  6. Huck , T. and Vallis , G. K. 2001 . Linear stability analysis of the three-dimensional thermally-driven ocean circulation: application to interdecadal oscillations . Tellus A 53 , 526 545 . DOI: 10.1111/j.1600-0870.2001.00526.x .
  7. Huck , T. , Weaver , A. J. and Colin de Verdière , A. 1999 . On the influence of the parameterization of lateral boundary layers on the thermohaline circulation in coarse-resolution ocean models . J. Mar. Res. 57 , 387 426 . DOI: 10.1357/002224099764805138 .
  8. Kawase , M. 1987 . Establishment of deep ocean circulation driven by deep-water production . J. Phys. Oceanogr. 17 , 2294 2317 . DOI: 10.1175/1520-0485(1987)017<;2294:EODOCD>2.0.CO;2 .
  9. Klinger , B. A. , Marshall , J. and Send , U. 1996 . Representation of convective plumes by vertical adjustment . J. Geophys. Res. Oceans 101 , 18175 18182 . DOI: 10.1029/96JC00861 .
  10. Kuhlbrodt , T. , Griesel , A. , Montoya , M. , Levermann , A. , Hofmann , M. and co-authors . 2007 . On the driving processes of the atlantic meridional overturning circulation . Rev. Geophys. 45 , DOI: 10.1029/2004RG000166 .
  11. LaCasce , J. 2004 . Diffusivity and viscosity dependence in the linear thermocline . J. Mar. Res. 62 , 743 769 . DOI: 10.1357/0022240042880864 .
  12. Ledwell , J. R. and Bratkovich , A. 1995 b. A tracer study of mixing in the santa cruz basin . J. Geophys. Res. Oceans 100 , 20681 20704 . DOI: 10.1029/95JC02164 .
  13. Ledwell , J. R. and Hickey , B. M. 1995 a. Evidence for enhanced boundary mixing in the santa monica basin . J. Geophys. Res. Oceans 100 , 20665 20679 . DOI: 10.1029/94JC01182 .
  14. Lumpkin , R. and Speer , K. 2007 . Global ocean meridional overturning . J. Phys. Oceanogr. 37 , 2550 2562 . DOI: 10.1175/JPO3130.1 .
  15. Marotzke , J. 1997 . Boundary mixing and the dynamics of three-dimensional thermohaline circulations . J. Phys. Oceanogr. 27 , 1713 1728 . DOI: 10.1175/1520-0485(1997)027<;1713:BMATDO>2.0.CO;2 .
  16. Marotzke , J. and Scott , J. R. 1999 . Convective mixing and the thermohaline circulation . J. Phys. Oceanogr. 29 , 2962 2970 . DOI: 10.1175/1520-0485(1999)029<;2962:CMATTC>2.0.CO;2 .
  17. Marshall J. , Adcroft A. , Hill C. , Perelman L. and Heisey C. , 1997 a. A finite-volume, incompressible navier stokes model for studies of the ocean on parallel computers . J. Geophys. Res.: All Series 102 , 5753 5766 . DOI: 10.1029/96JC02775 .
  18. Marshall J. , Hill C. , Perelman L. and Adcroft A. 1997 b. Hydrostatic, quasi-hydrostatic, and nonhydrostatic ocean modeling . J. Geophys. Res.: All Series 102 , 5733 5752 . DOI: 10.1029/96JC02776 .
  19. Marshall , J. and Plumb , R. 2008 . Atmosphere, Ocean and Climate Dynamics: An Introductory Text. International Geophysics Series , Vol. 93 , Academic Press , Burlington, US .
  20. Mauritzen , Cecilie 1996 . Production of dense overflow waters feeding the North Atlantic across the Greenland-Scotland Ridge. Part 1: Evidence for a revised circulation scheme . Deep Sea Res. Part I 43 , 769 806 . DOI: 10.1016/0967-0637(96)00037-4 .
  21. Paparella , F. and Young , W. 2002 . Horizontal convection is non-turbulent . J. Fluid Mech. 466 , 205 214 . DOI: 10.1017/S0022112002001313 .
  22. Park , Y.-G. 2006 . Dependence of an eastern boundary current on the horizontal resolution in thermally driven circulations . J. Geophys. Res. Oceans (1978--2012) 111 , DOI: 10.1029/2005JC003362 .
  23. Park , Y.-G. and Bryan , K. 2000 . Comparison of thermally driven circulations from a depth-coordinate model and an isopycnal-layer model. part i: Scaling-law sensitivity to vertical diffusivity . J. Phys. Oceanogr. 30 , 590 605 . DOI: 10.1175/1520-0485(2000)030<;0590:COTDCF>2.0.CO;2 .
  24. Park , Y.-G. and Bryan , K. 2001 . Comparison of thermally driven circulations from a depth-coordinate model and an isopycnal-layer model. part ii: The difference and structure of the circulations . J. Phys. oceanogr. 31 , 2612 2624 . DOI: 10.1175/1520-0485(2001)031<;2612:COTDCF>2.0.CO;2 .
  25. Pedlosky , J. 1969 . Linear theory of the circulation of a stratified ocean . J. Fluid Mech. 35 , 185 205 .
  26. Pedlosky , J. and Spall , M. A. 2005 . Boundary intensification of vertical velocity in a β-plane basin . J. Phys. Oceanogr. 35 , 2487 2500 . DOI: 10.1175/JPO2832.1 .
  27. Power , S. B. and Kleeman , R. 1993 . Multiple equilibria in a global ocean general circulation model . J. Phys. Oceanogr. 23 , 1670 1681 . DOI: 10.1175/1520-0485(1993)023<;1670:MEIAGO>2.0.CO;2 .
  28. Rahmstorf , S. 1995 . Multiple convection patterns and thermohaline flow in an idealized ogcm . J. Clim. 8 , 3028 3039 . DOI: 10.1175/1520-0442(1995)008<;3028:MCPATF>2.0.CO;2 .
  29. Salmon , R. 1986 . A simplified linear ocean circulation theory . J. Mar. Res. 44 , 695 711 . DOI: 10.1357/002224086788401602 .
  30. Salmon , R. 1998 . Linear ocean circulation theory with realistic bathymetry . J. Mar. Res. 56 , 833 884 . DOI: 10.1357/002224098321667396 .
  31. Samelson , R. and Vallis , G. K. 1997 . A simple friction and diffusion scheme for planetary geostrophic basin models . J. Phys. Oceanogr. 27 , 186 194 . DOI: 10.1175/1520-0485(1997)027<;0186:ASFADS>2.0.CO;2 .
  32. Samelson R. M. , 2011 . The Theory of Large-Scale Ocean Circulation . Cambridge University Press , Cambridge , pp. 208 .
  33. Sandström , J. W. 1908 . Dynamische versuche mit meerwasser . Ann. Hydrodynam. Marine Meteorol 36 , 6 23 .
  34. Schloesser , F. , Furue , R. , McCreary , J. P. and Timmermann , A. 2012 . Dynamics of the atlantic meridional overturning circulation. part 1: Buoyancy-forced response . Prog. Oceanogr. 101 , 33 62 . DOI: 10.1016/j.pocean.2012.01.002 .
  35. Schloesser , F. , Furue , R. , McCreary , J. P. and Timmermann , A. 2005 . Buoyancy-forced circulations in shallow marginal seas . J. Mar. Res. 63 , 729 752 . DOI: 10.1357/0022240054663204 .
  36. Stommel H. and Arons A.B. , 1960 . On the abyssal circulation of the world oceanii. an idealized model of the circulation pattern and amplitude in oceanic basins . Deep-Sea Res. 6 , 217 233 . DOI: 10.1016/0146-6313(59)90075-9 .
  37. Talley , L. D. , Reid , J. L. and Robbins , P. E. 2003 . Data-based meridional overturning streamfunctions for the global ocean . J. Clim. 16 , 3213 3226 . DOI: 10.1175/1520-0442(2003)016<;3213:DMOSFT>2.0.CO;2 .
  38. Vallis G. K. 2006 . Atmospheric and Oceanic uid Dynamics . Cambridge University Press , Cambridge , pp. 745 .
  39. de Verdière , C. A. 1988 . Buoyancy driven planetary flows . J. Mar. Res. 46 , 215 265 . DOI: 10.1357/002224088785113667 .
  40. Veronis , G. 1975 . The role of models in tracer studies . In: Numerical Models of Ocean Circulation . National Academy of Sciences , Washington, D.C. , pp. 133 - 146 .
  41. Welander P. 1971 . The thermocline problem . Philos. Trans. Roy. Soc. London. Series 270a , 415 421 . Online at: http://www.jstor.org/stable/73902 .
  42. 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 . DOI: 10.1175/1520-0485(1996)026<;0289:TROHBI>2.0.CO;2 .
  43. Wunsch , C. 2004 . Gulf Stream safe if wind blows and Earth turns . Nature 428 , 601 601 .
  44. Zhang , S. , Lin , C. A. and Greatbatch , R. J. 1992 . A thermocline model for ocean-climate studies . J. Mar. Res. 50 , 99 124 . DOI: 10.1357/002224092784797755 .
Language: English
Page range: 1299282 - 1299282
Submitted on: Dec 22, 2016
Accepted on: Jan 23, 2017
Published on: Jan 1, 2017
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2017 A. Gjermundsen, J. H. Lacasce, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.