Abstract
The ocean circulation problem concerns the motion of a rotating stratified and turbulent fluid on a sphere (the Earth) with complex boundaries introduced by the break up of the continents. This nonlinear nature of ocean dynamics generates a wide variety of interesting physical phenomena mainly related to the existence of strong dynamical links among physical processes occurring at different space and time scales. These links range from space scales of centimeters and time scales that might be counted in minutes or hours, up to global motions with time scales of centuries, that control aspects of the Earth’s climate. This range of scale interactions shown by ocean dynamics induces the appearance of collective phenomena that are hardly explained by the individual properties of each ocean process. Understanding ocean dynamics requires not only the study of isolated individual ocean processes, but also the collective result emerging from the combination of these individual processes acting at different space and time scales. Therefore the study of ocean circulation becomes an extremely difficult task because it requires determining the whole set of space and time scales that characterize the behaviour of the ocean system.
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References
Alvarez A., Tintoré J., Holloway G., Eby M., Beckers J. M. (1994) The effect of the topographic stress on the Western Mediterranean circulation, J. Geophys. Res. 99 16053–16064.
Alvarez A., Hernandez E., Tintoré J. (1997) Noise-sustained currents on quasigeostrophic turbulence over topography, Physica A 247, 312–326.
. Alvarez A., Hernandez E., Tintoré J. (1998) Noise rectification in quasigeostrophic forced turbulence, submitted to Phys. Rev. Letters.
Arnone A., Wiesenberg D. A., Saunders K. D. (1991) The origin and characteristics of the Algerian Current, J. Geophys. Res. 95, 1587–1599.
Beckers J. M. (1992), M.A. Thesis, Universite de Liege, Belgium, 360 pp.
Bethoux J. P. (1979) Budgets of the Mediterranean Sea. Their dependence on the local climate and on the characteristics of the Atlantic Waters, Oceanol. Acta 2, 157–163.
Bretherton F. P., Haidvogel D. B. (1976) Two-dimensional turbulence above topography, J. Fluid Mech. 78, 129–154.
Bryden H. L., Brady E. C., Pillsbury R. D. (1988) Flow through the Strait of Gibraltar, in J. L. Almazan, T. Kinder, H. Bryden and G. Parrilla (eds.),Seminario sobre la oceanografia fisica del estrecho de Gibraltar,Seceg, Madrid.
Cummins P. F. (1992) Inertial gyres in decaying and forced geostrophic turbulence, J. Mar. Res. 50, 545–566.
Danabasoglu G., McWilliams J C, Gent P. R. (1994) The role of mesoscale tracer transports in the global ocean circulation, Science, 264, 1123–1126.
Edwards S. F. (1964) The statistical dynamics of homogeneous turbulence, J. Fluid Mech. 18, 239–273.
Greiner A., Strittmatter W., Honerkamp J. (1988) Numerical integrations of stochastic differential equations, J. Stat. Phys. 51, 95–108.
Herring J. R. (1977) On the statistical theory of two-dimensional topographic turbulence, J. Atmos. Sci. 34, 1731–1750.
Holland R. W., McWilliams J. C. (1987) Computer modeling in physical oceanography from the global circulation to turbulence, Physics Today 40, 51–67.
Holloway G. (1978) A spectral theory of nonlinear barotropic motion above irregular topography, J. Phys. Oceanogr. 8, 414–427.
Holloway G. (1986) Eddies, waves, circulation and mixing: statistical geofluid mechanics, Ann. Rev. Fluid Mech. 18, 91–147.
Holloway G. (1992) Representing topographic stress for large-scale ocean models, J. Phys. Oceanogr. 22, 1033–1046.
Holloway G., Sou T., Eby M. (1995) Dynamics of the circulation of the Japan Sea, J. Mar. Res. 53, 539–569.
Katz A. (1967) Principles of statistical mechanics, W.H. Freeman & Co., San Francisco; Grandy W. T. (1987) Foundations of statistical mechanics, Kluwer Academic Publishers, Dordrecht.
Kraichnan R. H., Montgomery D., Rep. Prog. Phys., 43, 547 (1980).
Leith C. E. (1971) Atmospheric predictability and two-dimensional turbulence, J. Atmos. Sci. 28, 145–161.
Levitus S. (1982) Climatological atlas of the world ocean, NOAA Prof. Paper, US Government Printing Office, Washington, DC, 173 pp.
May P. W. (1992) Climatological flux in Western Mediterranean Sea, part 1: wind and wind stresses, NORDA Rep. 54, 56 pp.
Miller J., Weichman P. B., Cross M. C. (1992) Statistical mechanics, Euler’s equation and Jupiter’s Red Spot, Phys. Rev. A 45, 2328–2359.
Millot C. (1987) Circulation in the Western Mediterranean Sea, Oceanol. Acta 10, 143–149.
Millot C. (1991) Mesoscale and seasonal variabilities of the circulation in the Western Mediterranean, Dyn. Atmos. Oceans 15, 179–214.
Neelin D. J., Marotzke J. (1994) Representing ocean eddies in climate models, Science 264, 1099–1100.
Pedlosky J. (1987) Geophysical fluid dynamics, Springer-Verlag, New York.
Salmon R., Holloway G., Hendershot M. C. (1976) The equilibrium statistical mechanics of simple quasi-geostrophic models, J. Fluid Mech. 75, 691–703.
. Sancho J. M., San Miguel M., Katz S., Gunton J. (1982) Analytical and numerical studies of multiplicative noise. Phys. Rev. A 26 1589–1609.
Sou T., Holloway G., Eby M. (1996) Topographic stress and Caribean Sea circulation, J. Geophys. Res. 101,16449–16453.
. Tintoré J., Gomis D., Alonso S., Parrilla G. (1991) Mesoscale dynamics and vertical motion in the Alboran Sea, J. Phys. Oceanogr. 21,811–823.
. Toral R., Chakrabarti A. (1988) Generation of gaussian distributed random numbers by using a numerical inversion method, Computer Phys. Comm. 74,327–334.
. Treguier A. M. (1989) Topographically generated steady currents in barotropic turbulence, Geophys. Astrophys. Fluid Dynamics 47, 43–68.
. Yakhot V., Orszag S. A. (1986) Renormalization group analysis of turbulence I. Basic theory, J. Sci. Comp. 1, 1–51.
. Williams G. P. (1978) Planetary circulations: 1. Barotropic representation of Jovian and terrestrial turbulence, J. Atmos. Sci. 35 1399–1426.
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Alvarez, A., Tintoré, J. (1998). Topographic Stress: Importance and Parameterization. In: Chassignet, E.P., Verron, J. (eds) Ocean Modeling and Parameterization. NATO Science Series, vol 516. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5096-5_14
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DOI: https://doi.org/10.1007/978-94-011-5096-5_14
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