Horizontal grids for global weather and climate prediction models: a review
A Staniforth, J Thuburn - Quarterly Journal of the Royal …, 2012 - Wiley Online Library
A latitude–longitude grid is used by almost all operational atmospheric forecast models, and
many research models. However, it is expected that the advantages of a latitude–longitude …
many research models. However, it is expected that the advantages of a latitude–longitude …
Spherical fourier neural operators: Learning stable dynamics on the sphere
Abstract Fourier Neural Operators (FNOs) have proven to be an efficient and effective
method for resolution-independent operator learning in a broad variety of application areas …
method for resolution-independent operator learning in a broad variety of application areas …
Spectral/hp element methods: Recent developments, applications, and perspectives
The spectral/hp element method combines the geometric flexibility of the classical h-type
finite element technique with the desirable numerical properties of spectral methods …
finite element technique with the desirable numerical properties of spectral methods …
A study of spectral element and discontinuous Galerkin methods for the Navier–Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets …
FX Giraldo, M Restelli - Journal of Computational Physics, 2008 - Elsevier
We present spectral element (SE) and discontinuous Galerkin (DG) solutions of the Euler
and compressible Navier–Stokes (NS) equations for stratified fluid flow which are of …
and compressible Navier–Stokes (NS) equations for stratified fluid flow which are of …
NCAR release of CAM‐SE in CESM2. 0: A reformulation of the spectral element dynamical core in dry‐mass vertical coordinates with comprehensive treatment of …
It is the purpose of this paper to provide a comprehensive documentation of the new NCAR
(National Center for Atmospheric Research) version of the spectral element (SE) dynamical …
(National Center for Atmospheric Research) version of the spectral element (SE) dynamical …
A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
The current paper establishes the computational efficiency and accuracy of the RBF-FD
method for large-scale geoscience modeling with comparisons to state-of-the-art methods …
method for large-scale geoscience modeling with comparisons to state-of-the-art methods …
hp discontinuous Galerkin methods for advection dominated problems in shallow water flow
In this paper, we discuss the development, verification, and application of an hp
discontinuous Galerkin (DG) finite element model for solving the shallow water equations …
discontinuous Galerkin (DG) finite element model for solving the shallow water equations …
Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes
The shallow water equations model flows in rivers and coastal areas and have wide
applications in ocean, hydraulic engineering, and atmospheric modeling. In “Xing et al. Adv …
applications in ocean, hydraulic engineering, and atmospheric modeling. In “Xing et al. Adv …
A multiresolution method for climate system modeling: Application of spherical centroidal Voronoi tessellations
During the next decade and beyond, climate system models will be challenged to resolve
scales and processes that are far beyond their current scope. Each climate system …
scales and processes that are far beyond their current scope. Each climate system …
A class of deformational flow test cases for linear transport problems on the sphere
RD Nair, PH Lauritzen - Journal of computational physics, 2010 - Elsevier
A class of new benchmark deformational flow test cases for the two-dimensional horizontal
linear transport problems on the sphere is proposed. The scalar field follows complex …
linear transport problems on the sphere is proposed. The scalar field follows complex …