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Discretization in Numerical Weather Prediction: A Modular Approach to Investigate Spectral and Local SISL Methods

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Book cover Mathematical Problems in Meteorological Modelling

Part of the book series: Mathematics in Industry ((TECMI,volume 24))

Abstract

An overview of some spatial and temporal discretization methods used in NWP is given. The authors focus on the spectral semi-implicit semi-Lagrangian scheme, which was and still is one of the most successful schemes. A Z-grid approach with an identical timestep organization as the current semi-implicit semi-Lagrangian schemes is proposed. This provides a testbed to undertake comparison studies between spectral and local spatial discretization schemes.

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Notes

  1. 1.

    The wavenumbers are related to the wavelengths in the x and y-direction λ x and λ y by \(k = \frac{2\pi } {\lambda _{x}}\) and \(l = \frac{2\pi } {\lambda _{y}}\).

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Acknowledgements

The authors gratefully acknowledge the anonymous reviewer for his/her comments and suggestions, which substantially improved the manuscript.

Author information

Authors and Affiliations

  1. Physics and Astronomy Department, Ghent University, Krijgslaan 281, 9000, Gent, Belgium

    Steven Caluwaerts

  2. Royal Meteorological Institute, Ringlaan 3, 1180, Brussel, Belgium

    Daan Degrauwe

  3. CNRM, Météo-France, Avenue Gaspard Coriolis, 31057, Toulouse, France

    Fabrice Voitus

  4. Royal Meteorological Institute, Ringlaan 3, 1180, Brussel, Belgium

    Piet Termonia

Authors
  1. Steven Caluwaerts
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  2. Daan Degrauwe
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  3. Fabrice Voitus
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  4. Piet Termonia
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Corresponding author

Correspondence to Steven Caluwaerts .

Editor information

Editors and Affiliations

  1. Institute of Mathematics, Eötvös Lorand University, Institute of Mathematics, Budapest, Hungary

    András Bátkai

  2. Dept. of Appl.Analysis & Comp.Math., Eötvös Loránd University Institute of Mathematics, Budapest, Hungary

    Petra Csomós

  3. Institute of Mathematics, Eötvös Lorand University, Budapest, Hungary

    István Faragó

  4. Solymár, Hungary

    András Horányi

  5. Hungarian Meteorological Service, Budapest, Hungary

    Gabriella Szépszó

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Caluwaerts, S., Degrauwe, D., Voitus, F., Termonia, P. (2016). Discretization in Numerical Weather Prediction: A Modular Approach to Investigate Spectral and Local SISL Methods. In: Bátkai, A., Csomós, P., Faragó, I., Horányi, A., Szépszó, G. (eds) Mathematical Problems in Meteorological Modelling. Mathematics in Industry(), vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-40157-7_2

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