IPDPS '05 Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS'05) - Workshop 3 - Volume 04
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
A global semi-Lagrangian spectral model of the shallow water equations with variable resolution
Journal of Computational Physics
A nodal triangle-based spectral element method for the shallow water equations on the sphere
Journal of Computational Physics
Journal of Computational Physics
Numerical solution of the reaction-advection-diffusion equation on the sphere
Journal of Computational Physics
A wave propagation method for hyperbolic systems on the sphere
Journal of Computational Physics
Unsteady analytical solutions of the spherical shallow water equations
Journal of Computational Physics
Hybrid Eulerian-Lagrangian Semi-Implicit Time-Integrators
Computers & Mathematics with Applications
A parallel adaptive barotropic model of the atmosphere
Journal of Computational Physics
Mixed Jacobi-spherical harmonic spectral method for Navier--Stokes equations
Applied Numerical Mathematics
High-order Galerkin methods for scalable global atmospheric models
Computers & Geosciences
A spectral finite volume transport scheme on the cubed-sphere
Applied Numerical Mathematics
Journal of Computational Physics
The streamline subgrid integration method: I. Quasi-monotonic second-order transport schemes
Journal of Computational Physics
Interpolation on spherical geodesic grids: A comparative study
Journal of Computational and Applied Mathematics
Finite-volume transport on various cubed-sphere grids
Journal of Computational Physics
On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere
Journal of Computational Physics
Optimized Schwarz methods with an overset grid for the shallow-water equations: preliminary results
Applied Numerical Mathematics
Some conservation issues for the dynamical cores of NWP and climate models
Journal of Computational Physics
Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations
Journal of Computational Physics
Shallow water model on cubed-sphere by multi-moment finite volume method
Journal of Computational Physics
Journal of Computational Physics
Conservative arbitrary order finite difference schemes for shallow-water flows
Journal of Computational and Applied Mathematics
Results Obtained with a Semi-lagrangian Mass-Integrating Transport Algorithm by Using the GME Grid
Large-Scale Scientific Computing
Applied Numerical Mathematics
Time Acceleration Methods for Advection on the Cubed Sphere
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
A Non-oscillatory Advection Operator for the Compatible Spectral Element Method
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
A Scalable and Adaptable Solution Framework within Components of the Community Climate System Model
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme
Journal of Computational Physics
Journal of Computational Physics
An adaptive solver for the spherical shallow water equations
Mathematics and Computers in Simulation
Nonlinear operator integration factor splitting for the shallow water equations
Applied Numerical Mathematics
The monotonic Quartic Spline Method (QSM) for conservative transport problems
Journal of Computational Physics
A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
An edge-based unstructured mesh discretisation in geospherical framework
Journal of Computational Physics
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
A class of deformational flow test cases for linear transport problems on the sphere
Journal of Computational Physics
A multistep flux-corrected transport scheme
Journal of Computational Physics
Short Note: A simple mass conserving semi-Lagrangian scheme for transport problems
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Stabilization of RBF-generated finite difference methods for convective PDEs
Journal of Computational Physics
Journal of Computational Physics
Inspection of hexagonal and triangular C-grid discretizations of the shallow water equations
Journal of Computational Physics
A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
SIAM Journal on Scientific Computing
Scalability studies of an implicit shallow water solver for the Rossby-Haurwitz problem
VECPAR'10 Proceedings of the 9th international conference on High performance computing for computational science
Adaptive discontinuous Galerkin methods in multiwavelets bases
Applied Numerical Mathematics
Journal of Computational and Applied Mathematics
Predicting goal error evolution from near-initial-information: A learning algorithm
Journal of Computational Physics
On simplifying 'incremental remap'-based transport schemes
Journal of Computational Physics
Geometric Properties of the Icosahedral-Hexagonal Grid on the Two-Sphere
SIAM Journal on Scientific Computing
Nonlinear OIFS for a hybrid galerkin atmospheric model
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part III
A discontinuous/continuous low order finite element shallow water model on the sphere
Journal of Computational Physics
High-Order finite element methods for parallel atmospheric modeling
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
On the accuracy of high-order finite elements in curvilinear coordinates
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
Journal of Computational Physics
Journal of Computational Physics
MCore: A non-hydrostatic atmospheric dynamical core utilizing high-order finite-volume methods
Journal of Computational Physics
Mathematical and Computer Modelling: An International Journal
High Order Finite Difference and Finite Volume Methods for Advection on the Sphere
Journal of Scientific Computing
The Optimized Schwarz Method with a Coarse Grid Correction
SIAM Journal on Scientific Computing
Propagation of ocean surface waves on a spherical multiple-cell grid
Journal of Computational Physics
Journal of Computational Physics
Discontinuous Galerkin unsteady discrete adjoint method for real-time efficient tsunami simulations
Journal of Computational Physics
Method of Moving Frames to Solve Conservation Laws on Curved Surfaces
Journal of Scientific Computing
A co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids
Journal of Computational Physics
A class of semi-implicit predictor-corrector schemes for the time integration of atmospheric models
Journal of Computational Physics
Algorithm for reduced grid generation on a sphere for a global finite-difference atmospheric model
Computational Mathematics and Mathematical Physics
A conservative multi-tracer transport scheme for spectral-element spherical grids
Journal of Computational Physics
A finite element exterior calculus framework for the rotating shallow-water equations
Journal of Computational Physics
Improved smoothness and homogeneity of icosahedral grids using the spring dynamics method
Journal of Computational Physics
Hermitian Compact Interpolation on the Cubed-Sphere Grid
Journal of Scientific Computing
Hi-index | 31.67 |
A suite of seven test cases is proposed for the evaluation of numerical methods intended for the solution of the shallow water equations in spherical geometry. The shallow water equations exhibit the major difficulties associated with the horizontal dynamical aspects of atmospheric modeling on the spherical earth. These cases are designed for use in the evaluation of numerical methods proposed for climate modeling and to identify the potential trade-offs which must always be made in numerical modeling. Before a proposed scheme is applied to a full baroclinic atmospheric model it must perform well on these problems in comparison with other currently accepted numerical methods. The cases are presented in order of complexity. They consist of advection across the poles, steady state geostrophically balanced flow of both global and local scales, forced nonlinear advection of an isolated low, zonal flow impinging on an isolated mountain, Rossby-Haurwitz waves, and observed atmospheric states. One of the cases is also identified as a computer performance/algorithm efficiency benchmark for assessing the performance of algorithms adapted to massively parallel computers.