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.
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References
P. C. Chu and C. Fan: J. Comput. Phys. 140, 370 (1998)
B. Fornberg: SIAM J. Sci. Comput. 16(5), 1071 (1995)
K. Ishioka:http://www.gfd-dennou.org/arch/ispack/, GFD Dennou Club (2000)
S. K. Lele: J. Comput. Phys. 103, 16 (1992)
D. L. Williamson, J. B. Drake, and J. J. Hack, R. Jakob-Chien, and P. N. Swarztrauber: J. Comput. Phys. 102, 211 (1992)
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© 2003 Springer Japan
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Nihei, T., Ishii, K. (2003). A Fast Method for the Calculation of the Fluid Flow on a Sphere using a Combined Compact Difference Scheme. In: Kaneda, Y., Gotoh, T. (eds) Statistical Theories and Computational Approaches to Turbulence. Springer, Tokyo. https://doi.org/10.1007/978-4-431-67002-5_25
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DOI: https://doi.org/10.1007/978-4-431-67002-5_25
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-67004-9
Online ISBN: 978-4-431-67002-5
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