Journal of Scientific Computing
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
Well Posedness of the Initial Value Problem for Vertically Discretized Hydrostatic Equations
SIAM Journal on Numerical Analysis
A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations
Journal of Computational Physics
Nonlinear operator integration factor splitting for the shallow water equations
Applied Numerical Mathematics
International Journal of High Performance Computing Applications
On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere
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
High-order finite-volume methods for the shallow-water equations on the sphere
Journal of Computational Physics
PerfExpert: An Easy-to-Use Performance Diagnosis Tool for HPC Applications
Proceedings of the 2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis
Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations
Applied Numerical Mathematics
CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model
International Journal of High Performance Computing Applications
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A prototype dynamical core for the Community Atmospheric Model (CAM) component of the Community Climate System Model (CCSM) is presented. The 3D governing primitive equations are specified in curvilinear coordinates on the cubed-sphere combined with a hybrid pressure 驴 vertical coordinate. The horizontal space discretisation is based on a $$\mathbb{P}_N - \mathbb{P}_N$$ spectral element variational formulation. A semi-implicit time integration scheme is derived in order to circumvent the severe time step restrictions associated with gravity waves. Eigen-mode decomposition of the vertical structure matrix results in a set of decoupled 2D modified Helmholtz problems which are solved using a preconditioned conjugate gradient iteration. An idealized climate simulation is presented, where the semi-implicit scheme permits a much larger time step