Parallel spectral element solution of the Stokes problem
Journal of Computational Physics
Radiation boundary conditions for dispersive waves
SIAM Journal on Numerical Analysis
Multidimensional upwinding. Part I. The method of transport for solving the Euler equations
Journal of Computational Physics
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids
Journal of Computational Physics
A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
SIAM Journal on Numerical Analysis
Towards an Efficient and Scalable Discontinuous Galerkin Atmospheric Model
IPDPS '05 Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS'05) - Workshop 13 - Volume 14
Dispersion Relation Analysis of the $P^NC_1 - P^_1$ Finite-Element Pair in Shallow-Water Models
SIAM Journal on Scientific Computing
Requirements and problems in parallel model development at DWD
Scientific Programming
A massively parallel fractional step solver for incompressible flows
Journal of Computational Physics
Nodal discontinuous Galerkin methods on graphics processors
Journal of Computational Physics
Numerical representation of geostrophic modes on arbitrarily structured C-grids
Journal of Computational Physics
SIAM Journal on Scientific Computing
Journal of Computational Physics
High-order finite-volume methods for the shallow-water equations on the sphere
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model
International Journal of High Performance Computing Applications
Journal of Computational Physics
Journal of Computational Physics
Simulations of moist convection by a variational multiscale stabilized finite element method
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.47 |
This paper describes a unified, element based Galerkin (EBG) framework for a three-dimensional, nonhydrostatic model for the atmosphere. In general, EBG methods possess high-order accuracy, geometric flexibility, excellent dispersion properties and good scalability. Our nonhydrostatic model, based on the compressible Euler equations, is appropriate for both limited-area and global atmospheric simulations. Both a continuous Galerkin (CG), or spectral element, and discontinuous Galerkin (DG) model are considered using hexahedral elements. The formulation is suitable for both global and limited-area atmospheric modeling, although we restrict our attention to 3D limited-area phenomena in this study; global atmospheric simulations will be presented in a follow-up paper. Domain decomposition and communication algorithms used by both our CG and DG models are presented. The communication volume and exchange algorithms for CG and DG are compared and contrasted. Numerical verification of the model was performed using two test cases: flow past a 3D mountain and buoyant convection of a bubble in a neutral atmosphere; these tests indicate that both CG and DG can simulate the necessary physics of dry atmospheric dynamics. Scalability of both methods is shown up to 8192 CPU cores, with near ideal scaling for DG up to 32,768 cores.