Abstract
The history of the numerical modelling of atmospheric motion is intimately linked with the history of weather forecasting which started with World War I. The first try in numerical weather prediction was Richardson (1922)’s, who both invented finite difference modelling and… massively parallel processing, as he viewed a network of parallel personal computers (the brains and hands of individuals) passing and receiving individually processed information to their neighbours in a huge mass-production room. With regard to parallel processing, he was in advance by three quarters of a century. With regard to numerical analysis, he was too early by a quarter of a century: his calculation failed because he did not know about the CFL criterion and choose a time step too large for his horizontal resolution. One must add that he envisioned an associated optimum data coverage by dreaming of a Cartesian observing station network in exact coincidence with the computational grid: which promised a brilliant future to the small city of Romorantin, in the centre of France, as a major meteorological observing station.
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References
Arakawa, A. (1966): Computational design for long-term numerical integration of the equations of fluid motion. Part I: Two-dimensional incompressible flow. J. Comp. Phys., 1, 119–143.
Arakawa, A., W. H. Schubert (1974): Interaction of cumulus cloud ensemble with the large- scale environment. J. Atmos. Sci., 31, 674–701.
Basdevant, C., B. Legras, R. Sadourny, M. Béland (1981): A study of barotropic model flows: Intermittency, waves and predictability. J. Atmos. Sci., 38, 2305–2326.
Betts, A. K. (1986): New convective adjustment scheme. Part I. Observational and theoretical bases. Quart. J. Roy. Meteor. Soc., 112, 677–691.
Betts, A. K., M. Miller (1986): New convective adjustment scheme. Part II. Single column test using GATE wave and BOMEX, APEX and Arctic Air Mass data sets. Quart. J. Roy. Met. Soc., 112, 693–709.
Cess, R.D., G.L. Potter, J.P. Blanchet, G.J. Boer, A.D. Del Genio, M. Déqué, V. Dymnikov, V. Galin, W.L. Gates, S.J. Ghan, J.T. Kiehl, A.A. Lacis, H. Le Treut, Z.X. Li, X.Z. Liang, B.J. McAvaney, V.P. Meleshko, J.F.B. Mitchell, J.J. Morcrette, D.A. Randall, L. Rikus, E. Roeckner, J.F. Royer, U. Schlese, D.A. Sheinin, A. Slingo, A.P. Sokolov, K.E. Taylor, W.M. Washington, R.T. Wetherald, I. Yagai M.H. Zhang, 1990: Intercomparison and interpretation of climate feedback processes in nineteen atmospheric general circulation models. J. Geophys. Res.. 95. 16,601–16,615.
Courtier, Ph., C. Freydier, J.F. Geleyn, F. Rabier,M. Rochas (1991): The ARPÈGE Project at Météo France. In: Numerical Methods in Atmospheric Models, II, 193–231, European Centre for Medium Range Weather Forecasts Seminar Proceedings.
Held, I.M., A.Y. Hou (1980): Nonlinear axially symmetric circulations in a nearly inviscid atmosphere. J. Atmos. Sci., 37, 515–533.
Hortal, M., A.J. Simmons (1991): Use of reduced Gaussian grids in spectral models. Mon. Wea. Rev., 119, 1057–1074.
Krishnamurti, T.N. (1969): An experiment in numerical prediction in equatorial latitudes. Quart. J. Roy. Meteor. Soc., 95, 594–620.
Mesinger, F., Z.I. Janjic, S. Mickovic, D. Gavrilov, D.G. Deaven (1988): The step-mountain coordinate: model description and performance for cases of Alpine lee cyclogenesis and for a case of Appalachian redevelopment. Mon. Wea. Rev., 116, 1493–1518.
Manabe, S., R.F. Strickler (1964): Thermal equilibrium of the atmosphere with the convective adjustment. J. Atmos. Sci., 21, 361–385.
Mellor, G.L., T. Yamada (1974): A hierarchy of turbulence closure models for planetary boundary layers. J. Atmos. Sci., 31, 1791–1806.
Morcrette, J.-J., L. Smith and Y. Fouquart (1986): Pressure and temperature dependence of the absorption in longwave radiation parameterizations. Beitr. Phys. Atmosph., 59, 455–468.
Orszag, S.A. (1970): Transform method for calculation of vector-coupled sums: application to the spectral form of the voticity equation. J. Atmos. Sci., 27, 890–895.
Phillips, N.A. (1957): A coordinate system having some special advantages for numerical forecasting. J. Meteorol., 14, 184–185.
Prather, (1988): Numerical advection by conservation of second-order moments. J. Geophys. Res., 91, 6671–6681.
Richardson, L.F. (1922): Weather prediction by numerical process. Cambridge University Press, 236 pp.
Robert, J. Sommeria (1991): Statistical equilibrium states for two-dimensional flows. J. Fluid Mech., 229, 291–310.
Robert, A.J. (1982): A semi-Lagrangian and semi-implicit numerical integration scheme for the primitive meteorologicall equations. J. Meteor. Soc. Japan, 60, 319–324.
Sadourny, R., A. Arakawa, Y. Mintz (1968): Integration of the nondivergent barotropic vorticity equation with an icosahedral-hexagonal grid on the sphere. Mon. Wea. Rev., 96, 351–356.
Sadourny, R. (1975a): The dynamics of finite-difference models of the shallow water equations. J. Atmos. Sci., 32, 680–689.
Sadourny, R. (1975b): Compressible model flows on the sphere. J. Atmos. Sci., 32, 2103–2110.
Sadourny, R., C. Basdevant (1985): Parameterization of sub-grid scale barotropic and baroclinic eddies: Anticipated Potential Vorticity Method. J. Atmos. Sci., 42, 1353–1363.
Schmidt, F. (1977): Variable fine mesh in spectral global model. Beitr. Phys. Atmos., 50, 211–217.
Sharma, O.P., H. Upadhyaya, Th. Braine-Bonnaire, R. Sadourny (1987): Experiments on regional forecasting using a stretched-coordinate general circulation model. J. Meteorol. Soc. Japan, Special Volume on Short- and Medium-Range Numerical Weather Prediction.
Simmons, A, D. Burridge (1981): An energy and angular momentum conserving vertical finite difference scheme in hybrid vertical coordinate. Mon. Wea. Rev., 109, 758–766.
Smagorinsky, J. (1963): General circulation experiments with the primitive equations. I. The basic experiment. Mon. Wea. Rev., 91, 99–164.
Staniforth, A.N., H.L. Mitchell (1978): A variable-resolution finite-element technique for regional forecasting with the primitive equations. Mon. Wea. Rev., 106, 439–447.
Sundqvist, H. (1978): Parametrisation for non convective condensation including prediction of cloud water content. Quart. J. Roy. Meteor. Soc., 104, 677–690.
Tiedtke, M. (1989): Comprehensive mass flux scheme for cumulus parametrisation in large- scale models. Mon. Wea. Rev., 117, 1779–1800.
Williamson, D. (1968): Integration of the barotropic vorticity equation on a spherical geodesic grid. Tellus, 20, 642–653.
White, A.A., R.A. Bromley (1988) : A new set of dynamical equations for use in numerical weather prediction and global climate models. Meteorological Office, Met O 13 Branch memo.
Zhu, Z., J. Thuburn, B.J. Hoskins, P.H. Haynes (1992): A vertical finite difference scheme based on a hybrid s-q-p coordinate. Mon. Wea. Rev., 120, 851–862.
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© 1994 Springer-Verlag Berlin Heidelberg
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Sadourny, R. (1994). Global Atmospheric Modelling. In: Duplessy, JC., Spyridakis, MT. (eds) Long-Term Climatic Variations. NATO ASI Series, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79066-9_3
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DOI: https://doi.org/10.1007/978-3-642-79066-9_3
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