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Title: Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere Shallow-Water Model

Journal Article · · Monthly Weather Review
 [1];  [1];  [2];  [2];  [2];  [3]
  1. Univ. of Michigan, Ann Arbor, MI (United States)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Univ. of California, Davis, CA (United States)
+ Show Author Affiliations

Adaptive mesh refinement (AMR) is a technique that has been featured only sporadically in atmospheric science literature. This study aims to demonstrate the utility of AMR for simulating atmospheric flows. Several test cases are implemented in a 2D shallow-water model on the sphere using the Chombo-AMR dynamical core. This high-order finite-volume model implements adaptive refinement in both space and time on a cubed-sphere grid using a mapped-multiblock mesh technique. The tests consist of the passive advection of a tracer around moving vortices, a steady-state geostrophic flow, an unsteady solid-body rotation, a gravity wave impinging on a mountain, and the interaction of binary vortices. Both static and dynamic refinements are analyzed to determine the strengths and weaknesses of AMR in both complex flows with small-scale features and large-scale smooth flows. The different test cases required different AMR criteria, such as vorticity or height-gradient based thresholds, in order to achieve the best accuracy for cost. The simulations show that the model can accurately resolve key local features without requiring global high-resolution grids. The adaptive grids are able to track features of interest reliably without inducing noise or visible distortions at the coarse–fine interfaces. Finally and furthermore, the AMR grids keep any degradations of the large-scale smooth flows to a minimum.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC02-05CH11231; SC0003990
OSTI ID:
1378731
Journal Information:
Monthly Weather Review, Vol. 144, Issue 12; ISSN 0027-0644
Publisher:
American Meteorological SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

References (52)

A conservative adaptive wavelet method for the shallow-water equations on the sphere: Adaptive Wavelet Dynamical Core journal December 2014
Simulation of tropical-cyclone-like vortices in shallow-water ICON-hex using goal-oriented r-adaptivity journal May 2013
Atmospheric and ocean modeling with an adaptive finite element solver for the shallow-water equations journal January 1998
amatos: Parallel adaptive mesh generator for atmospheric and oceanic simulation journal January 2005
Local adaptive mesh refinement for shock hydrodynamics journal May 1989
A Dynamic hp -Adaptive Discontinuous Galerkin Method for Shallow-Water Flows on the Sphere with Application to a Global Tsunami Simulation journal March 2012
An Adaptive Multimoment Global Model on a Cubed Sphere journal February 2011
A multi-moment transport model on cubed-sphere grid journal November 2010
Global shallow water models based on multi-moment constrained finite volume method and three quasi-uniform spherical grids journal August 2014
Quantification of the inelastic interaction of unequal vortices in two‐dimensional vortex dynamics journal August 1992
A discontinuous/continuous low order finite element shallow water model on the sphere journal March 2012
An hp-adaptive discontinuous Galerkin method for shallow water flows journal October 2010
The natural tendency towards symmetry of motion and its application as a principle in meteorology: TENDENCY TOWARDS SYMMETRY OF MOTION journal October 1921
A Two-Way Nested Global-Regional Dynamical Core on the Cubed-Sphere Grid journal January 2013
Evaluation of the Utility of Static and Adaptive Mesh Refinement for Idealized Tropical Cyclone Problems in a Spectral Element Shallow-Water Model journal October 2016
On the interaction of tropical-cyclone-scale vortices. III: Continuous barotropic vortices journal October 1993
An evaluation of the variable‐resolution CESM for modeling California's climate journal January 2016
A Three-Dimensional, Adaptive, Godunov-Type Model for Global Atmospheric Flows journal August 2003
Block-Structured Adaptive Grids on the Sphere: Advection Experiments journal December 2006
Block-structured adaptive meshes and reduced grids for atmospheric general circulation models
  • Jablonowski, Christiane; Oehmke, Robert C.; Stout, Quentin F.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 367, Issue 1907 https://doi.org/10.1098/rsta.2009.0150
journal November 2009
Revolutionizing Climate Modeling with Project Athena: A Multi-Institutional, International Collaboration journal February 2013
Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations journal October 2014
Dynamic p-adaptive Runge–Kutta discontinuous Galerkin methods for the shallow water equations journal May 2009
Modelling atmospheric flows with adaptive moving meshes journal April 2012
A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid journal March 2010
Unsteady analytical solutions of the spherical shallow water equations journal December 2005
A parallel adaptive barotropic model of the atmosphere journal May 2007
A high‐order multi‐moment constrained finite‐volume global shallow‐water model on the Yin‐Yang grid journal January 2015
Tropical Cyclone Climatology in a 10-km Global Atmospheric GCM: Toward Weather-Resolving Climate Modeling journal June 2012
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
An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere journal January 2015
Symmetric vortex merger in two dimensions: causes and conditions journal October 1988
A short-duration global cloud-resolving simulation with a realistic land and sea distribution journal January 2007
Deep moist atmospheric convection in a subkilometer global simulation journal September 2013
Comparison between adaptive and uniform discontinuous Galerkin simulations in dry 2D bubble experiments journal February 2013
Moving Vortices on the Sphere: A Test Case for Horizontal Advection Problems journal February 2008
On numerical solution of the shallow water equations with chemical reactions on icosahedral geodesic grid journal March 2011
Cloud-system resolving simulations with the NASA Goddard Earth Observing System global atmospheric model (GEOS-5): GEOS5 CLOUD-SYSTEM RESOLVING SIMULATIONS journal August 2011
Impact of Variable-Resolution Meshes on Midlatitude Baroclinic Eddies Using CAM-MPAS-A journal November 2014
An Analytic Vortex Initialization Technique for Idealized Tropical Cyclone Studies in AGCMs journal February 2011
On the interaction of tropical-cyclone-scale vortices. II: Discrete vortex patches journal October 1993
On the Critical Separation Distance of Binary Vortices in a Nondivergent Barotropic Atmosphere journal January 2006
Adaptive grid refinement for numerical weather prediction journal January 1989
Adaptive numerical algorithms in space weather modeling journal February 2012
A semi-implicit, semi-Lagrangian discontinuous Galerkin framework for adaptive numerical weather prediction: SISL-DG Framework for Adaptive NWP journal May 2015
Understanding the treatment of waves in atmospheric models. Part 1: The shortest resolved waves of the 1D linearized shallow-water equations: Understanding the Treatment of Waves: Part 1 journal November 2013
The efficiency of symmetric vortex merger journal August 1992
Voronoi, Delaunay, and Block-Structured Mesh Refinement for Solution of the Shallow-Water Equations on the Sphere journal December 2009
Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge–Ampère type equation journal March 2016
A standard test set for numerical approximations to the shallow water equations in spherical geometry journal September 1992
Experimental Tropical Cyclone Forecasts Using a Variable-Resolution Global Model journal October 2015
Using Variable-Resolution Meshes to Model Tropical Cyclones in the Community Atmosphere Model journal March 2014

Cited By (2)

Automatic, unstructured mesh optimization for simulation and assessment of tide- and surge-driven hydrodynamics in a longitudinal estuary: St. Johns River journal April 2018
WAVETRISK-1.0: an adaptive wavelet hydrostatic dynamical core journal January 2019

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Related Subjects

54 ENVIRONMENTAL SCIENCES
58 GEOSCIENCES
shallow-water equations
adaptive models
multigrid models