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Original Articles

Pseudo-spectral/finite-difference adaptive method for spherical shallow-water equations

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Pages 461-473 | Received 20 Oct 2006, Accepted 11 Jan 2007, Published online: 22 Sep 2010

References

  • Swarztrauber , P. N. 2000 . Spectral transform methods for solving the shallow water equations on the sphere . Monthly Weather Review , 124 : 730 – 744 .
  • Taylor , M. , Tribbia , J. and Iskandarani , M. 1997 . The spectral element method for the shallow water equations on the sphere . Journal of Computational Physics , 130 : 92 – 108 .
  • Fornberg , B. 1996 . A Practical Guide to Pseudospectral Methods , Cambridge : Cambridge University Press .
  • Fornberg , B. 1995 . A pseudospectral approach for polar and spherical geometries . SIAM Journal of Scientific Computing , 16 : 1071 – 1081 .
  • Fornberg , B. and Merrill , D. 1997 . Comparison of finite difference and pseudospectral methods for convective flow over a sphere . Geophysical Research Letters , 24 : 3245 – 3248 .
  • Williamson , D. L. , Drake , J. B. , Hack , J. J. , Jakob , R. and Swarztrauber , P. N. 1991 . A standard test set for numerical approximations to the shallow water equations in spherical geometry . Journal of Computational Physics , 102 : 211 – 224 .
  • Holton , J. R. 1972 . An Introduction to Dynamic Meteorology , New York : Academic Press .
  • Löhner , R. 2001 . Applied CFD Techniques , Chichester : John Wiley .

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