An adaptive solver for the spherical shallow water equations

L. Gavete, B. Alonso, M.L. Gavete, F. Ureña and J.J. Benito

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 12, 3466-3477

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.

Keywords: Shallow water; p-Adaptive; Finite difference; Partial differential equations (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:12:p:3466-3477

DOI: 10.1016/j.matcom.2009.04.003

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