A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes

Recently, a standard test case suite for 2-D linear transport on the sphere was proposed to assess important aspects of accuracy in geophysical fluid dynamics with a "minimal" set of idealized model configurations/runs/diagnostics. Here we present results from 19 state-of-the-art transport...

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Main Authors: P. H. Lauritzen, P. A. Ullrich, C. Jablonowski, P. A. Bosler, D. Calhoun, A. J. Conley, T. Enomoto, L. Dong, S. Dubey, O. Guba, A. B. Hansen, E. Kaas, J. Kent, J.-F. Lamarque, M. J. Prather, D. Reinert, V. V. Shashkin, W. C. Skamarock, B. Sørensen, M. A. Taylor, M. A. Tolstykh
Format: Article
Language:English
Published: Copernicus Publications 2014-01-01
Series:Geoscientific Model Development
Online Access:http://www.geosci-model-dev.net/7/105/2014/gmd-7-105-2014.pdf
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author P. H. Lauritzen
P. A. Ullrich
C. Jablonowski
P. A. Bosler
D. Calhoun
A. J. Conley
T. Enomoto
L. Dong
S. Dubey
O. Guba
A. B. Hansen
E. Kaas
J. Kent
J.-F. Lamarque
M. J. Prather
D. Reinert
V. V. Shashkin
W. C. Skamarock
B. Sørensen
M. A. Taylor
M. A. Tolstykh
author_facet P. H. Lauritzen
P. A. Ullrich
C. Jablonowski
P. A. Bosler
D. Calhoun
A. J. Conley
T. Enomoto
L. Dong
S. Dubey
O. Guba
A. B. Hansen
E. Kaas
J. Kent
J.-F. Lamarque
M. J. Prather
D. Reinert
V. V. Shashkin
W. C. Skamarock
B. Sørensen
M. A. Taylor
M. A. Tolstykh
author_sort P. H. Lauritzen
collection DOAJ
description Recently, a standard test case suite for 2-D linear transport on the sphere was proposed to assess important aspects of accuracy in geophysical fluid dynamics with a "minimal" set of idealized model configurations/runs/diagnostics. Here we present results from 19 state-of-the-art transport scheme formulations based on finite-difference/finite-volume methods as well as emerging (in the context of atmospheric/oceanographic sciences) Galerkin methods. Discretization grids range from traditional regular latitude–longitude grids to more isotropic domain discretizations such as icosahedral and cubed-sphere tessellations of the sphere. The schemes are evaluated using a wide range of diagnostics in idealized flow environments. Accuracy is assessed in single- and two-tracer configurations using conventional error norms as well as novel diagnostics designed for climate and climate–chemistry applications. In addition, algorithmic considerations that may be important for computational efficiency are reported on. The latter is inevitably computing platform dependent. <br><br> The ensemble of results from a wide variety of schemes presented here helps shed light on the ability of the test case suite diagnostics and flow settings to discriminate between algorithms and provide insights into accuracy in the context of global atmospheric/ocean modeling. A library of benchmark results is provided to facilitate scheme intercomparison and model development. Simple software and data sets are made available to facilitate the process of model evaluation and scheme intercomparison.
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spelling doaj.art-cd0d086b309b48768ebdf879fe46a1312022-12-22T03:55:53ZengCopernicus PublicationsGeoscientific Model Development1991-959X1991-96032014-01-017110514510.5194/gmd-7-105-2014A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemesP. H. Lauritzen0P. A. Ullrich1C. Jablonowski2P. A. Bosler3D. Calhoun4A. J. Conley5T. Enomoto6L. Dong7S. Dubey8O. Guba9A. B. Hansen10E. Kaas11J. Kent12J.-F. Lamarque13M. J. Prather14D. Reinert15V. V. Shashkin16W. C. Skamarock17B. Sørensen18M. A. Taylor19M. A. Tolstykh20National Center for Atmospheric Research, Boulder, Colorado, USAUniversity of California at Davis, Davis, California, USAUniversity of Michigan, Department of Atmospheric, Oceanic and Space Sciences, Ann Arbor, Michigan, USAUniversity of Michigan, Department of Atmospheric, Oceanic and Space Sciences, Ann Arbor, Michigan, USABoise State University, Boise, Idaho, USANational Center for Atmospheric Research, Boulder, Colorado, USADisaster Prevention Research Institute, Kyoto University, Uji, Kyoto, JapanState Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, ChinaLaboratoire de Météorologie Dynamique, Paris, FranceSandia National Laboratories, Albuquerque, New Mexico, USANational Institute of Water and Atmospheric Research, Lauder, New ZealandNiels Bohr Institute, University of Copenhagen, Copenhagen, DenmarkUniversity of Michigan, Department of Atmospheric, Oceanic and Space Sciences, Ann Arbor, Michigan, USANational Center for Atmospheric Research, Boulder, Colorado, USAEarth System Science Department, University of California, Irvine, California, USADeutscher Wetterdienst, Offenbach, GermanyInstitute of Numerical Mathematics, RAS, Moscow, RussiaNational Center for Atmospheric Research, Boulder, Colorado, USAEarth System Science Department, University of California, Irvine, California, USASandia National Laboratories, Albuquerque, New Mexico, USAInstitute of Numerical Mathematics, RAS, Moscow, RussiaRecently, a standard test case suite for 2-D linear transport on the sphere was proposed to assess important aspects of accuracy in geophysical fluid dynamics with a "minimal" set of idealized model configurations/runs/diagnostics. Here we present results from 19 state-of-the-art transport scheme formulations based on finite-difference/finite-volume methods as well as emerging (in the context of atmospheric/oceanographic sciences) Galerkin methods. Discretization grids range from traditional regular latitude–longitude grids to more isotropic domain discretizations such as icosahedral and cubed-sphere tessellations of the sphere. The schemes are evaluated using a wide range of diagnostics in idealized flow environments. Accuracy is assessed in single- and two-tracer configurations using conventional error norms as well as novel diagnostics designed for climate and climate–chemistry applications. In addition, algorithmic considerations that may be important for computational efficiency are reported on. The latter is inevitably computing platform dependent. <br><br> The ensemble of results from a wide variety of schemes presented here helps shed light on the ability of the test case suite diagnostics and flow settings to discriminate between algorithms and provide insights into accuracy in the context of global atmospheric/ocean modeling. A library of benchmark results is provided to facilitate scheme intercomparison and model development. Simple software and data sets are made available to facilitate the process of model evaluation and scheme intercomparison.http://www.geosci-model-dev.net/7/105/2014/gmd-7-105-2014.pdf
spellingShingle P. H. Lauritzen
P. A. Ullrich
C. Jablonowski
P. A. Bosler
D. Calhoun
A. J. Conley
T. Enomoto
L. Dong
S. Dubey
O. Guba
A. B. Hansen
E. Kaas
J. Kent
J.-F. Lamarque
M. J. Prather
D. Reinert
V. V. Shashkin
W. C. Skamarock
B. Sørensen
M. A. Taylor
M. A. Tolstykh
A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes
Geoscientific Model Development
title A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes
title_full A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes
title_fullStr A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes
title_full_unstemmed A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes
title_short A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes
title_sort standard test case suite for two dimensional linear transport on the sphere results from a collection of state of the art schemes
url http://www.geosci-model-dev.net/7/105/2014/gmd-7-105-2014.pdf
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