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A Fast Method for the Calculation of the Fluid Flow on a Sphere using a Combined Compact Difference Scheme

  • Tomonori Nihei
  • Katsuya Ishii
Conference paper

Abstract

A spectral-like three-point combined compact difference (sp-CCD) scheme, which is originally proposed by Chu and Fan (1998, J. Comput. Phys. 140, 370), is utilized for the shallow water models on a sphere. A standard test set proposed by Williamson et al. (1992, J. Comput. Phys. 102, 211) is used to evaluate the accuracy of the new method. It is shown that the accuracy of the method is comparable to that of the spherical harmonics model as a whole. The application of the method to an multi-layer model shows that the method does work well. These results suggest that the method could be extended to the numerical atmospheric models.

Keywords

Shallow Water Equation Shallow Water Model Operation Count Latitudinal Direction Spherical Harmonic Model 
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.
    P. C. Chu and C. Fan: J. Comput. Phys. 140, 370 (1998)MathSciNetMATHCrossRefGoogle Scholar
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    B. Fornberg: SIAM J. Sci. Comput. 16(5), 1071 (1995)MathSciNetMATHCrossRefGoogle Scholar
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    K. Ishioka:http://www.gfd-dennou.org/arch/ispack/, GFD Dennou Club (2000)
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    S. K. Lele: J. Comput. Phys. 103, 16 (1992)MathSciNetMATHCrossRefGoogle Scholar
  5. 5.
    D. L. Williamson, J. B. Drake, and J. J. Hack, R. Jakob-Chien, and P. N. Swarztrauber: J. Comput. Phys. 102, 211 (1992)MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer Japan 2003

Authors and Affiliations

  • Tomonori Nihei
    • 1
  • Katsuya Ishii
    • 1
  1. 1.Nagoya UniversityChikusa-ku, NagoyaJapan

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