Terascale spectral element dynamical core for atmospheric general circulation models
Proceedings of the 2001 ACM/IEEE conference on Supercomputing
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
Journal of Computational Physics
Semi-Implicit Spectral Element Atmospheric Model
Journal of Scientific Computing
Partitioning with Space-Filling Curves on the Cubed-Sphere
IPDPS '03 Proceedings of the 17th International Symposium on Parallel and Distributed Processing
Parallel implementation of the discontinuous Galerkin method
Parallel implementation of the discontinuous Galerkin method
On Strong Stability Preserving Time Discretization Methods
Journal of Scientific Computing
Journal of Computational Physics
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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.