Analysis of grid imprinting on geodesic spherical icosahedral grids

Numerical grid imprinting errors have often been observed in global atmospheric models on icosahedral grids. In this paper we analyse the sources of grid imprinting error related to the usual finite volume discretization of the divergence operator. We introduce the concept of alignment of computatio...

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Bibliographic Details
Published inJournal of computational physics Vol. 237; pp. 61 - 78
Main Authors Peixoto, Pedro S., Barros, Saulo R.M.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.03.2013
Subjects
Alignment
Alignment index
Computation
Convergence
Discretization
Discretization error
Divergence discretization
Error analysis
Errors
Geodesic grid
Grid alignment
Grid imprinting
Icosahedral grid
Icosahedral phase
Mathematical analysis
Geodesic grid
Discretization error
Grid alignment
Grid imprinting
Alignment index
Icosahedral grid
Divergence discretization
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Summary:Numerical grid imprinting errors have often been observed in global atmospheric models on icosahedral grids. In this paper we analyse the sources of grid imprinting error related to the usual finite volume discretization of the divergence operator. We introduce the concept of alignment of computational cells, and establish that convergence of second order is attained on aligned cells. Moreover, we present strong evidence that grid imprinting errors are caused by the slow convergence on badly aligned cells. The analysis presented is not restricted to icosahedral grids, being valid for any geodesic spherical grid.
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content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2012.11.041