The spectral element method for the shallow water equations on the sphere
Journal of Computational Physics
Terascale spectral element dynamical core for atmospheric general circulation models
Proceedings of the 2001 ACM/IEEE conference on Supercomputing
Semi-Implicit Spectral Element Atmospheric Model
Journal of Scientific Computing
Multiscale Geophysical Modeling Using the Spectral Element Method
Computing in Science and Engineering
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
A three-dimensional spectral element model for the solution of the hydrostatic primitive equations
Journal of Computational Physics
Partitioning with Space-Filling Curves on the Cubed-Sphere
IPDPS '03 Proceedings of the 17th International Symposium on Parallel and Distributed Processing
Proceedings of the 2003 ACM/IEEE conference on Supercomputing
Nonlinear operator integration factor splitting for the shallow water equations
Applied Numerical Mathematics
The NCAR Spectral Element Climate Dynamical Core: Semi-Implicit Eulerian Formulation
Journal of Scientific Computing
A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates
Journal of Computational Physics
A Non-oscillatory Advection Operator for the Compatible Spectral Element Method
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
A compatible and conservative spectral element method on unstructured grids
Journal of Computational Physics
Journal of Computational Physics
A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
SIAM Journal on Scientific Computing
Journal of Computational and Applied Mathematics
Improving the performance scalability of the community atmosphere model
International Journal of High Performance Computing Applications
CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model
International Journal of High Performance Computing Applications
Parallel implementation and scalability of cloud resolving EULAG model
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part II
Progress towards accelerating HOMME on hybrid multi-core systems
International Journal of High Performance Computing Applications
A conservative multi-tracer transport scheme for spectral-element spherical grids
Journal of Computational Physics
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We first demonstrate the parallel performance of the dynamical core of a spectral element atmospheric model. The model uses continuous Galerkin spectral elements to discretize the surface of the Earth, coupled with finite differences in the radial direction. Results are presented from two distributed memory, mesh interconnect supercomputers (ASCI Red and BlueGene/L), using a two-dimensional space filling curve domain decomposition. Better than 80% parallel efficiency is obtained for fixed grids on up to 8938 processors. These runs represent the largest processor counts ever achieved for a geophysical application. They show that the upcoming Red Storm and BlueGene/L super-computers are well suited for performing global atmospheric simulations with a 10 km average grid spacing. We then demonstrate the accuracy of the method by performing a full three-dimensional mesh refinement convergence study, using the primitive equations to model breaking Rossby waves on the polar vortex. Due to the excellent parallel performance, the model is run at several resolutions up to 36 km with 200 levels using only modest computing resources. Isosurfaces of scaled potential vorticity exhibit complex dynamical features, e.g. a primary potential vorticity tongue, and a secondary instability causing roll-up into a ring of five smaller subvortices. As the resolution is increased, these features are shown to converge while potential vorticity gradients steepen.