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Numerical Problems Connected with Weather Prediction

  • G. Browning
  • Heinz-Otto Kreiss
Conference paper
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 12)

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.

Keywords

Initial Data Computational Fluid Dynamics Gravity Wave Smooth Solution Initial Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Kasahara, A., Various vertical coordinate systems used for numerical weather prediction, Mon. Wea. Rev., 102 (1974), pp. 509–522.ADSCrossRefGoogle Scholar
  2. [2]
    Kreiss, H.-O., Problems with different times scales for partial differential equations, Comm. Pure Appl. Math., 33 (1980), pp. 399–439.MathSciNetMATHCrossRefGoogle Scholar
  3. [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.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1988

Authors and Affiliations

  • G. Browning
    • 1
  • Heinz-Otto Kreiss
    • 2
  1. 1.NSF NCARBoulderUSA
  2. 2.Grant ATM 79-02932 CALTECHNSFPasadenaUSA

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