A Multiscale Nonhydrostatic Atmospheric Model Using Centroidal Voronoi Tesselations and C-Grid Staggering
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Open Access
- 1 September 2012
- journal article
- Published by American Meteorological Society in Monthly Weather Review
- Vol. 140 (9), 3090-3105
- https://doi.org/10.1175/mwr-d-11-00215.1
Abstract
The formulation of a fully compressible nonhydrostatic atmospheric model called the Model for Prediction Across Scales–Atmosphere (MPAS-A) is described. The solver is discretized using centroidal Voronoi meshes and a C-grid staggering of the prognostic variables, and it incorporates a split-explicit time-integration technique used in many existing nonhydrostatic meso- and cloud-scale models. MPAS can be applied to the globe, over limited areas of the globe, and on Cartesian planes. The Voronoi meshes are unstructured grids that permit variable horizontal resolution. These meshes allow for applications beyond uniform-resolution NWP and climate prediction, in particular allowing embedded high-resolution regions to be used for regional NWP and regional climate applications. The rationales for aspects of this formulation are discussed, and results from tests for nonhydrostatic flows on Cartesian planes and for large-scale flow on the sphere are presented. The results indicate that the solver is as accurate as existing nonhydrostatic solvers for nonhydrostatic-scale flows, and has accuracy comparable to existing global models using icosahedral (hexagonal) meshes for large-scale flows in idealized tests. Preliminary full-physics forecast results indicate that the solver formulation is robust and that the variable-resolution-mesh solutions are well resolved and exhibit no obvious problems in the mesh-transition zones.Keywords
This publication has 30 references indexed in Scilit:
- A general method for modeling on irregular gridsThe International Journal of High Performance Computing Applications, 2010
- Kernel-based vector field reconstruction in computational fluid dynamic modelsInternational Journal for Numerical Methods in Fluids, 2010
- A multiresolution method for climate system modeling: application of spherical centroidal Voronoi tessellationsOcean Dynamics, 2008
- Conservative Split-Explicit Time Integration Methods for the Compressible Nonhydrostatic EquationsMonthly Weather Review, 2007
- A baroclinic instability test case for atmospheric model dynamical coresQuarterly Journal of the Royal Meteorological Society, 2006
- Numerical Consistency of Metric Terms in Terrain-Following CoordinatesMonthly Weather Review, 2003
- Geostrophic Adjustment on Hexagonal GridsMonthly Weather Review, 2002
- Geostrophic Adjustment and the Finite-Difference Shallow-Water EquationsMonthly Weather Review, 1994
- An internal symmetric computational instabilityQuarterly Journal of the Royal Meteorological Society, 1983
- A Potential Enstrophy and Energy Conserving Scheme for the Shallow Water EquationsMonthly Weather Review, 1981