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

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 degradationsmore » of the large-scale smooth flows to a minimum.« less
Authors:
 [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)
Publication Date:
Grant/Contract Number:
AC02-05CH11231; SC0003990
Type:
Accepted Manuscript
Journal Name:
Monthly Weather Review
Additional Journal Information:
Journal Volume: 144; Journal Issue: 12; Journal ID: ISSN 0027-0644
Publisher:
American Meteorological Society
Research Org:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; 58 GEOSCIENCES; shallow-water equations; adaptive models; multigrid models
OSTI Identifier:
1378731

Ferguson, Jared O., Jablonowski, Christiane, Johansen, Hans, McCorquodale, Peter, Colella, Phillip, and Ullrich, Paul A.. Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere Shallow-Water Model. United States: N. p., Web. doi:10.1175/MWR-D-16-0197.1.
Ferguson, Jared O., Jablonowski, Christiane, Johansen, Hans, McCorquodale, Peter, Colella, Phillip, & Ullrich, Paul A.. Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere Shallow-Water Model. United States. doi:10.1175/MWR-D-16-0197.1.
Ferguson, Jared O., Jablonowski, Christiane, Johansen, Hans, McCorquodale, Peter, Colella, Phillip, and Ullrich, Paul A.. 2016. "Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere Shallow-Water Model". United States. doi:10.1175/MWR-D-16-0197.1. https://www.osti.gov/servlets/purl/1378731.
@article{osti_1378731,
title = {Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere Shallow-Water Model},
author = {Ferguson, Jared O. and Jablonowski, Christiane and Johansen, Hans and McCorquodale, Peter and Colella, Phillip and Ullrich, Paul A.},
abstractNote = {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.},
doi = {10.1175/MWR-D-16-0197.1},
journal = {Monthly Weather Review},
number = 12,
volume = 144,
place = {United States},
year = {2016},
month = {11}
}