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Geoscientific Model Development A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes
P. H. Lauritzen
1
P. A. Ullrich
2
C. Jablonowski
3
P. A. Bosler
3
D. Calhoun
4
A. J. Conley
5
T. Enomoto
6
L. Dong
7
S. Dubey
8
O. Guba
9
A. B. Hansen
10
E. Kaas
11
J. Kent
3
J.-F. Lamarque
1
M. J. Prather
12
D. Reinert
13
V. V. Shashkin
14, 15
W. C. Skamarock
1
B. Sørensen
12
M. A. Taylor
16
M. A. Tolstykh
14, 15
7
LASG - Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics
IAP - Institute of Atmospheric Physics [Beijing]
M. A. Tolstykh 14, 15
Author
1
NCAR - National Center for Atmospheric Research [Boulder] (3090 Center Green Drive, Boulder, CO 80301 - United States)
2
UC Davis - University of California [Davis] (One Shields Avenue, , Davis, CA 95616-5294 - United States)
- University of California (United States)
3
AOSS - Department of Atmospheric, Oceanic, and Space Sciences [Ann Arbor] (Ann Arbor, MI 48109 - United States)
- University of Michigan [Ann Arbor] (500 Church Street Ann Arbor, MI 48109-1090 - United States)
- University of Michigan System (Michigan - United States)
5
University of Colorado [Boulder] (Boulder, Colorado 80309 - United States)
6
Disaster Prevention Research Institute, Kyoto University, Uji, Kyoto, Japan (Japan)
- affiliation inconnue (France)
7
LASG - Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics (Institute of Atmospheric Physics, Chinese Academy of Sciences, 100029 Beijing - China)
- IAP - Institute of Atmospheric Physics [Beijing] (Beijing 100029 - China)
- CAS - Chinese Academy of Sciences [Beijing] (52 Sanlihe Rd., Beijing, 100864 - China)
8
LMD - Laboratoire de Météorologie Dynamique (UMR 8539) (LMD ENS 24 Rue Lhomond 75231 Paris Cedex 05 - France)
- UPMC - Université Pierre et Marie Curie - Paris 6 (4 place Jussieu - 75005 Paris - France)
- INSU - CNRS - Institut national des sciences de l'Univers (INSU-CNRS 3 rue Michel-Ange, 75794 Paris Cedex 16 - France)
- X - École polytechnique (École polytechnique, 91128 Palaiseau Cedex - France)
- ENPC - École des Ponts ParisTech (École des Ponts ParisTech 6-8 avenue Blaise-Pascal Cité Descartes 77455 Champs-sur-Marne Marne-la-Vallée cedex 2 - France)
- CNRS - Centre National de la Recherche Scientifique : UMR8539 (France)
- Département des Géosciences - ENS Paris (24 rue Lhomond, 75005 Paris, France - France)
- ENS Paris - École normale supérieure - Paris (45, Rue d'Ulm - 75230 Paris cedex 05 - France)
- PSL - Université Paris sciences et lettres (60 rue Mazarine 75006 Paris - France)
- ENS Paris - École normale supérieure - Paris (45, Rue d'Ulm - 75230 Paris cedex 05 - France)
9
SNL - Sandia National Laboratories [Albuquerque] (PO Box 5800 Albuquerque, NM 87185 - United States)
- Sandia National Laboratories - Corporation (United States)
10
NIWA - National Institute of Water and Atmospheric Research [Wellington] (301 Evans Bay Parade, Hataitai, Wellington 6021 - New Zealand)
11
NBI - Niels Bohr Institute [Copenhagen] (Blegdamsvej 17, DK-2100 Copenhagen - Denmark)
- Faculty of Science [Copenhagen] (Bülowsvej 17
1870 Frederiksberg C
Copenhagen
- Denmark)
- KU - University of Copenhagen = Københavns Universitet (Nørregade 10, 1165 København, Danemark - Denmark)
12
ESS - Department of Earth System Science [Irvine] (3317 Croul Hall, University of California, Irvine, CA 92697-3100 - United States)
- UCI - University of California [Irvine] (Irvine, CA 92697 - United States)
- University of California (United States)
13
DWD - Deutscher Wetterdienst [Offenbach] (Frankfurter Str.135, 63067 Offenbach - Germany)
14
Institute of Numerical Mathematics, RAS, Moscow, Russian Federation (Russia)
- affiliation inconnue (France)
16
University of Calgary (2500 University Dr NW Calgary, Alberta, T2N 1N4 - Canada)
Abstract : Recently, a standard test case suite for 2-D lin-ear transport on the sphere was proposed to assess im-portant aspects of accuracy in geophysical fluid dynam-ics with a "minimal" set of idealized model configura-tions/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 discretiza-tions 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 con-ventional error norms as well as novel diagnostics designed for climate and climate–chemistry applications. In addition, algorithmic considerations that may be important for com-putational efficiency are reported on. The latter is inevitably computing platform dependent. 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 bench-mark 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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Journal articles
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https://hal-polytechnique.archives-ouvertes.fr/hal-01074227
Contributor : Denis Roura <>
Submitted on : Thursday, October 30, 2014 - 11:27:56 AM
Last modification on : Tuesday, September 22, 2020 - 3:51:07 AM
Long-term archiving on: : Monday, February 2, 2015 - 3:36:49 PM
Contributor : Denis Roura <>
Submitted on : Thursday, October 30, 2014 - 11:27:56 AM
Last modification on : Tuesday, September 22, 2020 - 3:51:07 AM
Long-term archiving on: : Monday, February 2, 2015 - 3:36:49 PM
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gmd-7-105-2014.pdf
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Identifiers
- HAL Id : hal-01074227, version 1
- DOI : 10.5194/gmd-7-105-2014
Collections
PARISTECH | X | INSU | UPMC | CNRS | X-LMD | LMD | ENS-PARIS | ENPC-LMD | ENPC | X-DEP-MECA | SORBONNE-UNIVERSITE | SU-SCIENCES | PSL
Citation
P. H. Lauritzen, P. A. Ullrich, C. Jablonowski, P. A. Bosler, D. Calhoun, et al.. Geoscientific Model Development 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, European Geosciences Union, 2014, 7 (1), pp.105 - 145. ⟨10.5194/gmd-7-105-2014⟩. ⟨hal-01074227⟩
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