Abstract
Electronic computers were made available to civilian researchers in the late 1940s, shortly after World War II. Numerical Weather Prediction — at that time the repetitive solution of a 2-dimensional elliptic partial differential equation describing the evolution of the height of a mid-tropospheric isobaric surface — was among the first mathematical problems tackled with that new technology.
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References
Arakawa, A., and Y. G. Hsu, 1990: Energy conserving and potential-enstrophy dissipating schemes for the shallow water equations. Mon. Wea. Rev.,118, 1960–1969.
Arakawa, A., and Y. G. Hsu, and V. R. Lamb, 1981: A potential enstrophy-and energy-conserving scheme for the shallow water equations, Mon. Weather Rev., 109, 18–36.
Bleck, R., 1978: Finite difference equations in generalized vertical coordinates. Part I: Total energy conservation. Contrib. Atm. Phys., 51,360–372.
Bleck, R., 1984: An isentropic coordinate model suitable for lee cyclogenesis simulation. Riv. Meteorol. Aeronaut.,.44, 189–194.
Bleck, R., and L. Smith, 1990: A wind-driven isopycnic coordinate model of the north and equatorial Atlantic Ocean. 1. Model development and supporting experiments. J. Geophys. Res.,95C, 3273–3285.
Bleck, R., C. Rooth, D. Hu, and L. Smith, 1992• Salinity-driven thermocline transients in a wind-and thermohaline-forced isopycnic coordinate model of the North Atlantic. J. Phys. Oceanogr., 22,1486–1505.
Broecker, W. S., 1991: The great ocean conveyor. Oceanography, 4,79–89.
Kraus, E.B., and J.S. Turner, 1967: A one-dimensional model of the seasonal thermocline: II. The general theory and its consequences. Tellus, 19, 98–106.
Levitus, S., 1982: Climatological Atlas of the World Ocean. NOAA Professional Paper 13, 173 pp.
Levitus, S., 1994: Revised version of [9].
McDougall, T., 1987: Neutral Surfaces. J. Phys. Oceanogr., 17, 1950–1964.
Oberhuber, J.M., 1988: An atlas based on the ‘COADS’ data set: the budgets of heat, buoyancy, and turbulent kinetic energy at the surface of the global ocean. Max-Planck-Institut für Meteorologie, Hamburg, 202 pp. (ISSN 0937–1060).
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.
Phillips, N.A., 1957: A coordinate system having some special advantages for numerical forecasting. J. Meteor., 14, 184–185.
Pingree, R. D., 1972: Mixing in the deep stratified ocean. Deep-Sea Res.,19, 549–561.
Redi, M. H., 1982: Oceanic isopycnal mixing by coordinate rotation. J. Phys. Oceanogr., 12,1154–1158.
Reid, J. L., and R. J. Lynn, 1971: On the influence of the Norwegian-Greenland and Weddell seas upon the bottom waters of the Indian and Pacific oceans. Deep-Sea Res.,18, 1063–1088.
Richardson, L. F., 1922: Weather prediction by numerical process. Cambridge Univ. Press, reprinted Dover 1965, 236 pp.
Rooth, C. G., S. Sun, R. Bleck, and E. P. Chassignet, 1998: Note on the inclusion of themobaricity in numerical ocean models framed in isopycnic coordinates. J. Phys. Oceanogr., subm.
Sadourny, R., The dynamics of finite-difference models of the shallow-water equations, J. Atmos. Sci.,32, 680–689, 1975.
Shuman, F. G., 1960: Numerical experiments with the primitive equations. Proc. Intern. Symp. Num. Wea. Pred., Tokyo, 85–107.
Smolarkiewicz, P. K., and W. W. Grabowski, 1990: The multidimensional positive definite advection transport algorithm: Nonoscillatory option. J. Comput. Phys., 86,355–375.
Spencer, R. W., 1993: Global Oceanic Precipitation from the MSU during 1979–91 and Comparisons to other Climatologies. J. Climate,6, 1301–1326.
Sun, S., 1997: Compressibility effects in the Miami Isopycnic Coordinate Ocean Model. Ph.D. Diss., University of Miami, 138pp.
Sun, S., R. Bleck, and E. Chassignet, 1993: Layer outcropping in numerical models of stratified flows. J. Phys. Oceanogr., 23, 1877–1884.
Woodruff, S.D., R.J. Slutz, R.L. Jenne, and P.M. Steurer, 1987: A comprehensive ocean-atmosphere data set. Bull. Amer. Meteor. Soc.,68, 1239–1250.
Zalesak, S., 1979: Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys., 31, 335–362.
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Bleck, R. (1998). Ocean Modeling in Isopycnic Coordinates. 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_18
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DOI: https://doi.org/10.1007/978-94-011-5096-5_18
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