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| Titel |
A standard test case suite for two-dimensional linear transport on the sphere |
| VerfasserIn |
P. H. Lauritzen, W. C. Skamarock, M. J. Prather, M. A. Taylor |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1991-959X
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| Digitales Dokument |
URL |
| Erschienen |
In: Geoscientific Model Development ; 5, no. 3 ; Nr. 5, no. 3 (2012-06-28), S.887-901 |
| Datensatznummer |
250002623
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| Publikation (Nr.) |
 copernicus.org/gmd-5-887-2012.pdf |
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| Zusammenfassung |
It is the purpose of this paper to propose a standard test case suite for
two-dimensional transport schemes on the sphere intended to be used for model
development and facilitating scheme intercomparison. The test cases are
designed to assess important aspects of accuracy in geophysical fluid
dynamics such as numerical order of convergence, "minimal" resolution, the
ability of the transport scheme to preserve filaments, transport "rough"
distributions, and to preserve pre-existing functional relations between
species/tracers under challenging flow conditions.
The experiments are designed to be easy to set up. They are specified in
terms of two analytical wind fields (one non-divergent and one divergent) and
four analytical initial conditions (varying from smooth to discontinuous).
Both conventional error norms as well as novel mixing and filament
preservation diagnostics are used that are easy to implement. The experiments
pose different challenges for the range of transport approaches from
Lagrangian to Eulerian. The mixing and filament preservation diagnostics do
not require an analytical/reference solution, which is in contrast to standard
error norms where a "true" solution is needed. Results using the CSLAM
(Conservative Semi-Lagrangian Multi-tracer) scheme on the cubed-sphere are
presented for reference and illustrative purposes. |
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