Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1141014 | Mathematics and Computers in Simulation | 2009 | 12 Pages |
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.
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Authors
L. Gavete, B. Alonso, M.L. Gavete, F. Ureña, J.J. Benito,