LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Wunsch, Carl (2005)
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
Subjects:

Classified by OpenAIRE into

arxiv: Physics::Fluid Dynamics
The Stommel two-box, two flow-regime box model is kinematically and dynamically equivalent to the flow in a onedimensional fluid loop, although one having awkward and extreme mixing coefficients. More generally, such a loop, when heated and cooled at the same geopotential, provides a simple example of the working of the Sandström theorem, with flow intensity capable of increasing or decreasing with growing diffusion. Stress dominates real oceanic flows, and its introduction into the purely thermally driven loop generates oscillations, multiple states, and instabilities at low diffusivity. When, within the Boussinesq approximation, salinity forcing and mixed boundary conditions are further introduced, an intricate pattern of response appears, dependent upon at least five non-dimensional parameters, including the time of onset of salinity forcing. The ability, in a one-dimensional loop, to produce such a rich array of dynamical behaviors, dependent in detail upon the problem parameters, suggests that in the absence of any general results relating one- to three-dimensional fluid flows, identification of the time-dependent behavior of a GCM with that of the onedimensional loop Stommel models should be regarded as still primarily speculation.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Adcroft, A., Scott, J. R. and Marotzke, J. 2001. Impact of geothermal heating on the global ocean circulation. Geophys. Res. Lett. 28, 1735- 1738.
    • Cessi, P. and Young, W. R. 1992. Multiple equilibria in two-dimensional thermohaline circulation. J. Fluid Mech. 241, 291-309.
    • Colin de Verdie`re, A. 1993. On the oceanic thermohaline circulation. In: Modelling Oceanic Climate Intereactions (eds J. Willebrand, and D. L. T. Anderson). Springer-Verlag, Berlin, 151-184.
    • Creveling, H. F., de Paz, J. F., Baladi J. Y. and Schoenhals, R. J. 1975. Stability characteristics of a single-phase free convection loop. J. Fluid Mech. 67, 65-84.
    • Defant, A. 1961. Physical Oceanography, Vol. 1. Pergamon, New York, 598 pp.
    • Dewar, W. K. and Huang, R. X. 1995. On the forced flow of salty water in a loop. Phys. Fluids 8, 954-970.
    • Dijkstra, H. A. and Weijer, W. 2003. The connection of equilibria within a hierarchy of models. J. Mar. Res. 61, 725-744.
    • Erhard, P. and Mu¨ller, U. 1990. Dynamical behavior of natural convection in a single-phase loop. J. Fluid Mech. 217, 487-518.
    • Hart, J. E. 1984. A new analysis of the closed loop thermosyphon. Int. J. Heat Mass Transf. 27, 125-136.
    • Huang, R. X. 1993. Real freshwater flux as a natural boundary condition for the salinity balance and thermohaline circulation forced by evaporation and precipitation. J. Phys. Oceanogr. 23, 2428-2446.
    • Huang, R. X. 1999. Mixing and energetics of the oceanic thermohaline circulation. J. Phys. Oceanogr. 29, 727-746.
    • Huang, R. X. and Dewar, W. K. 1996. Haline circulation: bifurcation and chaos. J. Phys. Oceanogr. 26, 2093-2106.
    • Jayne, S. R. and St. Laurent, L. C. 2001. Parametrizing tidal dissipation over rough topography. Geophys. Res. Lett. 28, 811-814.
    • Jeffreys, H. W. 1925. On fluid motions produced by differences of temperature and humidity. Q. J. R. Meteorol. Soc. 51, 347-356.
    • Jiang, Y. Y. and Shoji, M. 2003. Spatial and temporal instabilities of in a natural circulation loop: influences of thermal boundary conditions. J. Heat Transfer, Trans. ASME 125, 612-623.
    • Keller, J. B. 1966. Periodic oscillations in a model of thermal convection. J. Fluid Mech. 26, 599-606.
    • Kundu, P. K. 1990. Fluid Mechanics. Academic, San Diego, 638 pp.
    • Lorenz, E. N. 1963. Deterministic non-periodic flow. J. Atmos. Sci. 20, 130-141.
    • Lorenz, E. N. 1990. Can chaos and intransitivity lead to interannual variability? Tellus 42A, 378-389.
    • Maas, L. R. M., 1994. A simple model for the three-dimensional, thermally and wind-driven ocean circulation. Tellus 46A, 671-680.
    • McDougall, T. J. and Dewar, W. K. 1998. Vertical mixing and cabbeling in layered models. J. Phys. Oceanogr. 28, 1458-1480.
    • Malkus, W. V. R. 1972. Non-periodic convection at high and low Prandtl number. Me´m. Soc. Royale des Sciences de Lie`ge, 6th se´rie, tome IV, 125-128.
    • Manabe, S. and Stouffer, R. J. 1999. Are two modes of thermohaline circulation stable? Tellus 51A, 400-411.
    • Marotzke, J. 2000. Abrupt climate change and thermohaline circulation: Mechanisms and predictability. Proc. Natl. Acad. US. 97, 1347-1350.
    • Mertol, A., Greif, R. and Zvirin, Y. 1981. The transient, steady state and stability behavior of a thermosyphon with throughflow. Int. J. Mass Heat Transfer 24, 621-633.
    • Munk, W. and Wunsch, C. 1998. Abyssal recipes II: energetics of tidal and wind mixing. Deep-Sea Res. 45, 1976-2009.
    • Nilsson, J. and Walin, G. 2001. Freshwater forcing as a booster of thermohaline circulation. Tellus 53A, 629-641.
    • Nilsson, J., Brostro¨m, G. and Walin, G. 2003. The thermohaline circulation and vertical mixing: does weaker density stratification give stronger overturning? J. Phys. Oceanogr. 33, 2781-2795.
    • Oberhuber, J. M. 1993. Simulation of the Atlantic circulation with a coupled sea ice-mixed layer isopycnal general circulation model. Part I: model description. J. Phys. Oceanogr. 23, 808-829.
    • Palmer, T. N. 1999. A nonlinear dynamical perspective on climate prediction. J. Climate 12, 575-591.
    • Paparella, F. and Young, W. R. 2002. Horizontal convection is nonturbulent. J. Fluid Mech. 466, 205-214.
    • Pasquero, C. and Tziperman, E. 2004. Effects of a wind-driven gyre on themohaline circulation variability. J. Phys. Oceanogr. 34, 805-816.
    • Pedlosky, J. 1996. Ocean Circulation Theory. Springer-Verlag, Berlin, 450 pp.
    • Sandstro¨m, J. W. 1908. Dynamicsche Versuche mit Meerwasser. Annalen der Hydrographie under Martimen Meteorologie 36, 6-23.
    • Stern, M. E. 1975. Ocean Circulation Physics. Academic, New York, 246 pp.
    • Stommel, H. 1961. Thermohaline convection with two stable regimes of flow. Tellus 13, 131-149 (S61).
    • Stommel, H. and Rooth, C. 1968. On the interaction of gravitational and dynamic forcing in simple circulation models. Deep-Sea Res. 15, 165-170.
    • Thual, O. and McWilliams, J. C. 1992. The catastrophe structure of themohaline convection in a two-dimensional fluid model and a comparison with low-order box models. Geophys. Astrophys. Fluid Dyn. 64, 67-95.
    • Tritton, D. J. 1988. Physical Fluid Dynamics. 2nd edn, Oxford Univ. Press, Oxford, 519 pp.
    • Tziperman, E., Toggweiler, J. R., Feliks, Y. and Bryan, K. 1994. Instability of the thermohaline circulation with respect to mixed boundaryconditions-is it really a problem for realistic models? J. Phys. Oceanogr. 24, 217-232.
    • Wang, Y., Singer, J. and Bau, H. U. 1992. Controlling chaos in a thermal convection loop. J. Fluid Mech. 237, 479-498.
    • Welander, P. 1967. On the oscillatory instability of a differentially heated fluid loop. J. Fluid Mech. 29, 17-30.
    • Welander, P. 1985. Thermohaline effects in the ocean circulation and related simple models. In: Large-Scale Transport Processes in Oceans and Atmosphere, NATO ASI Series C. Vol. 190, 163- 200.
    • Whitehead, J. A. 1995. Thermohaline ocean processes and models. Ann. Rev. Fluid Mech. 27, 89-113.
    • Wright, D. G., Stocker, T. F. and Mercer, D. 1998. Closures used in zonally averaged models. J. Phys. Oceanogr., 28, 791-804.
    • Wunsch, C. 2002. What is the thermohaline circulation? Science 298, 1180-1181.
    • Wunsch, C. and Ferrari, R. 2004. Vertical mixing, energy, and the general circulation of the oceans. Ann. Revs. Fl. Mech. 36, doi:10.1146/annurev.fluid.36.050802.122121.
    • Wunsch, C. 2005. Speculations on a schematic Theory of The Younger Dryas. J. Mor. Res. 63 (Fofonoff Vol.), in press.
  • No related research data.
  • Discovered through pilot similarity algorithms. Send us your feedback.

Share - Bookmark

Cite this article

Collected from