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An adaptive solver for the spherical shallow water equations

Author

Listed:
  • Gavete, L.
  • Alonso, B.
  • Gavete, M.L.
  • Ureña, F.
  • Benito, J.J.

Abstract

The shallow water equations (SWE), which describe the flow of a thin layer of fluid in two dimensions have been used by the atmospheric modelling community as a vehicle for testing promising numerical methods for solving atmospheric and oceanic problems. The SWE are important for the study of the dynamics of large-scale flows, as well for the development of new numerical schemes that are applied to more complex models. In this paper we present a finite difference p-adaptive method based on high order finite differences that is applied using an error indicator for solving the SWE on the sphere. A standard test set is used to evaluate the accuracy of the new method. The results obtained are compared with the pseudo-spectral method.

Suggested Citation

  • Gavete, L. & Alonso, B. & Gavete, M.L. & Ureña, F. & Benito, J.J., 2009. "An adaptive solver for the spherical shallow water equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(12), pages 3466-3477.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:12:p:3466-3477
    DOI: 10.1016/j.matcom.2009.04.003
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