Abstract
High-order finite element methods for the atmospheric shallow water equations are reviewed. The accuracy and efficiency of nodal continuous and discontinuous Galerkin spectral elements are evaluated using the standard test problems proposed by Williamson et al (1992). The relative merits of strong-stability preserving (SSP) explicit Runge-Kutta and multistep time discretizations are discussed. Distributed memory MPI implementations are compared on the basis of the total computation time required, sustained performance and parallel scalability. Because a discontinuous Galerkin method permits the overlap of computation and communication, higher sustained execution rates are possible at large processor counts.
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Keywords
- Shallow Water Equation
- Discontinuous Galerkin Method
- Spectral Element
- Spectral Element Method
- Linear Multistep Method
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St.-Cyr, A., Thomas, S.J. (2005). High-Order Finite Element Methods for Parallel Atmospheric Modeling. In: Sunderam, V.S., van Albada, G.D., Sloot, P.M.A., Dongarra, J.J. (eds) Computational Science – ICCS 2005. ICCS 2005. Lecture Notes in Computer Science, vol 3514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11428831_32
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DOI: https://doi.org/10.1007/11428831_32
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