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Numerical Problems Connected with Weather Prediction

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Computational Fluid Dynamics and Reacting Gas Flows

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 12))

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Abstract

Large scale atmospheric motions can propagate on vastly different time scales. The time scale of the so called Rossby waves which describe the “weather”is of the order of a day while inertia-gravity waves can have time scales of order] 0 sec. Meteorologically the main interest is in the first type of motion. There are two ways to suppress the fast waves. One can prepare the initial data such that the fast waves are not excited or can change the equations such that the fast waves are not present or have been slowed down. In this paper we shall discuss some of the mathematical and numerical difficulties of these procedures.

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References

  1. Kasahara, A., Various vertical coordinate systems used for numerical weather prediction, Mon. Wea. Rev., 102 (1974), pp. 509–522.

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  2. Kreiss, H.-O., Problems with different times scales for partial differential equations, Comm. Pure Appl. Math., 33 (1980), pp. 399–439.

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  3. Oliger, J. and Sundström, A., Theoretical and practical aspects of some initial-boundary value problems in fluid dynamics, SIAM J. Appl. Math., 35 (1978), pp. 839–866.

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Author information

Authors and Affiliations

  1. NSF NCAR, Boulder, CO, 80307, USA

    G. Browning

  2. Grant ATM 79-02932 CALTECH, NSF, Pasadena, CA, 91125, USA

    Heinz-Otto Kreiss

Authors
  1. G. Browning
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  2. Heinz-Otto Kreiss
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of California, Los Angeles, CA, 90024, USA

    Bjorn Engquist

  2. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA

    Andrew Majda

  3. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Mitchell Luskin

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© 1988 Springer-Verlag New York Inc.

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Browning, G., Kreiss, HO. (1988). Numerical Problems Connected with Weather Prediction. In: Engquist, B., Majda, A., Luskin, M. (eds) Computational Fluid Dynamics and Reacting Gas Flows. The IMA Volumes in Mathematics and Its Applications, vol 12. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3882-9_3

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  • DOI: https://doi.org/10.1007/978-1-4612-3882-9_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8388-1

  • Online ISBN: 978-1-4612-3882-9

  • eBook Packages: Springer Book Archive

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