Abstract
Semi-Lagrangian two-time-level finite difference scheme for hydrostatic atmospheric model is considered. Approximation of the gravitational waves in implicit-explicit manner allows to keep balance between extended stability and required accuracy. Both are assured by implicit discretization of the fast principal vertical modes and explicit approximation of the slow secondary gravitational waves. Numerical experiments with actual atmospheric data are carried out to define the most efficient implicit-explicit separation, which produces the accurate forecasts at the less computational cost.
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Anthes, R.A., Kuo, Y.H., Hsie, E.Y., Low-Nam, S., Bettge, T.W.: Estimation of skill and uncertainty in regional numerical models. Q. J. R. Meteorol. Soc. 115, 763–806 (1989)
Bandy, V., Sweet, R.: A set of three drivers for BOXMG: a black box multigrid solver. Comm. Appl. Num. Methods 8, 563–571 (1992)
Bourchtein, A.: Semi-Lagrangian semi-implicit space splitting regional baroclinic atmospheric model. Appl. Numer. Math. 41, 307–326 (2002)
Bourchtein, A., Kadychnikov, V.: Well-posedness of the initial value problem for vertically discretized hydrostatic equations. SIAM J. Num. An. 41, 195–207 (2003)
Cohn, S.E., Dee, D.P.: An analysis of the vertical structure equation for arbitrary thermal profiles. Q. J. R. Meteorol. Soc. 115, 143–171 (1989)
Dendy, J.E.: Black box multigrid. J. Comp. Phys. 48, 366–386 (1982)
Durran, D.: Numerical Methods for Wave Equations in Geophysical Fluid Dynamics. Springer, New York (1999)
Holton, J.R.: An Introduction to Dynamic Meteorology. Academic Press, San Diego (1992)
Hortal, M.: The development and testing of a new two-time-level semi-Lagrangian scheme (SETTLS) in the ECMWF forecast model. Q. J. R. Met. Soc. 128, 1671–1687 (2002)
Mcdonald, A.: A semi-Lagrangian and semi-implicit two time level integration scheme. Mon. Wea. Rev. 114, 824–830 (1986)
McDonald, A., Haugen, J.: A two-time-level, three-dimensional semi-Lagrangian, semi-implicit, limited-area gridpoint model of the primitive equations. Mon. Wea. Rev. 120, 2603–2621 (1992)
Mesinger, F., Arakawa, A.: Numerical Methods Used in Atmospheric Models. GARP Publ. Ser., 17(I) Geneva (1976)
Pudykiewicz, J., Benoit, R., Staniforth, A.: Preliminary results from a partial LRTAP model based on an existing meteorological forecast model. Atmos.-Ocean 23, 267–303 (1985)
Robert, A., Yee, T.L., Ritchie, H.: A semi-Lagrangian and semi-implicit numerical integration scheme for multilevel atmospheric models. Mon. Wea. Rev. 113, 388–394 (1985)
Staniforth, A., Côté, J.: Semi-Lagrangian integration schemes for atmospheric models - A review. Mon. Wea. Rev. 119, 2206–2223 (1991)
Temperton, C., Staniforth, A.: An efficient two-time-level semi-Lagrangian semi-implicit integration scheme. Q. J. R. Meteorol. Soc. 113, 1025–1039 (1987)
Temperton, C., Hortal, M., Simmons, A.J.: A two-time-level semi-Lagrangian global spectral model. Q. J. R. Meteorol. Soc. 127, 111–126 (2001)
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Bourchtein, A. (2005). Semi-Lagrangian Implicit-Explicit Two-Time-Level Scheme for Numerical Weather Prediction. In: Sunderam, V.S., van Albada, G.D., Sloot, P.M.A., Dongarra, J.J. (eds) Computational Science – ICCS 2005. ICCS 2005. Lecture Notes in Computer Science, vol 3514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11428831_17
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DOI: https://doi.org/10.1007/11428831_17
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