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Titel |
Non-orthogonal version of the arbitrary polygonal C-grid and a new diamond grid |
VerfasserIn |
H. Weller |
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 ; 7, no. 3 ; Nr. 7, no. 3 (2014-05-09), S.779-797 |
Datensatznummer |
250115615
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Publikation (Nr.) |
copernicus.org/gmd-7-779-2014.pdf |
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Zusammenfassung |
Quasi-uniform grids of the sphere have become popular recently since
they avoid parallel scaling bottlenecks associated with the poles of
latitude–longitude grids. However quasi-uniform grids of the sphere
are often non-orthogonal. A version of the C-grid for arbitrary
non-orthogonal grids is presented which gives some of the mimetic
properties of the orthogonal C-grid. Exact energy conservation is
sacrificed for improved accuracy and the resulting scheme
numerically conserves energy and potential enstrophy well. The
non-orthogonal nature means that the scheme can be used on a cubed
sphere. The advantage of the cubed sphere is that it does not admit
the computational modes of the hexagonal or triangular C-grids. On
various shallow-water test cases, the non-orthogonal scheme on
a cubed sphere has accuracy less than or equal to the orthogonal
scheme on an orthogonal hexagonal icosahedron.
A new diamond grid is presented consisting of quasi-uniform
quadrilaterals which is more nearly orthogonal than the equal-angle cubed
sphere but with otherwise similar properties. It performs better
than the cubed sphere in every way and should be used instead in
codes which allow a flexible grid structure. |
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