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The spectral element method (SEM) on variable-resolution grids: evaluating grid sensitivity and resolution-aware numerical viscosity

Journal Article · · Geoscientific Model Development (Online)
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We evaluate the performance of the Community Atmosphere Model's (CAM) spectral element method on variable-resolution grids using the shallow-water equations in spherical geometry. We configure the method as it is used in CAM, with dissipation of grid scale variance, implemented using hyperviscosity. Hyperviscosity is highly scale selective and grid independent, but does require a resolution-dependent coefficient. For the spectral element method with variable-resolution grids and highly distorted elements, we obtain the best results if we introduce a tensor-based hyperviscosity with tensor coefficients tied to the eigenvalues of the local element metric tensor. The tensor hyperviscosity is constructed so that, for regions of uniform resolution, it matches the traditional constant-coefficient hyperviscosity. With the tensor hyperviscosity, the large-scale solution is almost completely unaffected by the presence of grid refinement. This later point is important for climate applications in which long term climatological averages can be imprinted by stationary inhomogeneities in the truncation error. We also evaluate the robustness of the approach with respect to grid quality by considering unstructured conforming quadrilateral grids generated with a well-known grid-generating toolkit and grids generated by SQuadGen, a new open source alternative which produces lower valence nodes.

Sponsoring Organization:
USDOE
OSTI ID:
1198008
Journal Information:
Geoscientific Model Development (Online), Journal Name: Geoscientific Model Development (Online) Journal Issue: 6 Vol. 7; ISSN 1991-9603
Publisher:
Copernicus Publications, EGUCopyright Statement
Country of Publication:
Germany
Language:
English

References (22)

Paving: A new approach to automated quadrilateral mesh generation journal September 1991
Simulation of shallow-water jets with a unified element-based continuous/discontinuous Galerkin model with grid flexibility on the sphere: Unified Continuous/Discontinuous Galerkin Model on Spherical Grids journal December 2014
A global shallow-water model using an expanded spherical cube: Gnomonic versus conformal coordinates journal April 1996
A standard test set for numerical approximations to the shallow water equations in spherical geometry journal September 1992
A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates journal December 2008
A compatible and conservative spectral element method on unstructured grids journal August 2010
Explicit global simulation of the mesoscale spectrum of atmospheric motions journal January 2006
Dispersive and Dissipative Behavior of the Spectral Element Method journal January 2009
High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics journal January 2012
A Simple Mesh Generator in MATLAB journal January 2004
Sensitivity of Simulated Climate to Model Resolution journal May 1991
Conservative Finite-Difference Approximations of the Primitive Equations on Quasi-Uniform Spherical Grids journal February 1972
The Spectral Element Atmosphere Model (SEAM): High-Resolution Parallel Computation and Localized Resolution of Regional Dynamics journal March 2004
A Comparison of Two Shallow-Water Models with Nonconforming Adaptive Grids journal June 2008
Voronoi, Delaunay, and Block-Structured Mesh Refinement for Solution of the Shallow-Water Equations on the Sphere journal December 2009
Aquaplanet Experiments Using CAM’s Variable-Resolution Dynamical Core journal July 2014
Exploring a Multiresolution Modeling Approach within the Shallow-Water Equations journal November 2011
Using Variable-Resolution Meshes to Model Tropical Cyclones in the Community Atmosphere Model journal March 2014
Localized Artificial Viscosity Stabilization of Discontinuous Galerkin Methods for Nonhydrostatic Mesoscale Atmospheric Modeling journal December 2015
A Discontinuous Galerkin Transport Scheme on the Cubed Sphere journal April 2005
Climate Modeling with Spectral Elements journal December 2006
CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model journal November 2011

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