Abstract
The spectral-transform method must now be a strong competitor with the standard finite difference method for integrating the meteorological equations on the sphere. The development work proceeding in various centres around the world should give more definite indications of which is the superior method within the next few years.
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References
Arakawa, A. 1971 Lecture notes on UCLA General Circulation Model, Dept. of Meteorology, U.C.L.A.
Bourke, W. 1972 ‘An efficient, one-level, primitive equation spectral model’, Mon. Weath. Rev., 100, pp 683–689.
Corby, G.A., Gilchrist, A., and Newson, R.L. 1972 ‘A general circulation model of the atmosphere suitable for long period integration’, Quart.J.R.Met.Soc., 98, pp809–832.
Cullen, M.J.P. 1974 ‘Integrations of the primitive equations on a sphere using the finite element method’,, 100, pp.555–562.
Eliasen, E, Machenhauer, B. and Rasmussen, E. 1970 ‘On a numerical method for integration of the hydrodynamical equations with a spectral representation of the horizontal fields’, Institut for Teoretisk Meteorologi, Københavns Universitat. Report No.2.
Gauntlett, D.J. and Leslie, L.M. 1974 ‘Further development on a six-level semi-implicit primitive equation model’, Progress Report No.4, The GARP Programme on Numerical Experimentation, pp. 36–37.
Hoskins, B.J. and Simmons, A.J. 1975 ‘A multi-layer spectral model and the semi-implicit method’, Quart.J.R.Met.Soc., 101, pp. 637–655.
Machenhauer, B. and Rasmussen, E. 1972 ‘On the integration of the spectral hydrodynamical equations by a transform method’, Institut for Teoretisk Meteorologi, Københavns Universitat, Report No.3.
Merilees, P.E. 1974 ‘Numerical experiments with the pseudospectral method in spherical coordinates’, Report of the International Symposium on Spectral Methods in Numerical Weather Prediction, GARP Programme on Numerical Experimentation, Report No.7, pp.215–264.
Orszag, S.A. 1970 ‘Transform method for calculation of vector-coupled sums; application to the spectral form of the vorticity equation’, J.Atmos.Sci., 27, pp.890–895.
Robert, A.J., Henderson, J. and Turnbull, C. 1972 ‘An implicit time integration scheme for baroclinic models of the atmosphere’, Mon.Weath.Rev., 100, pp. 329–335.
Silberman, I. 1954 ‘Planetary waves in the atmosphere’, J.Met., 11, pp. 27–34.
Simmons, A.J. and Hoskins, B.J. 1975 ‘A comparison of spectral and finite difference simulations of a growing baroclinic wave’, Quart.J.R.Met.Soc., 101, pp.551–565.
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Hoskins, B.J., Simmons, A.J. (1976). Spectral methods applied to the integration of meteorological equations. In: Glowinski, R., Lions, J.L. (eds) Computing Methods in Applied Sciences. Lecture Notes in Physics, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120594
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DOI: https://doi.org/10.1007/BFb0120594
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