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Analysis of grid imprinting on geodesic spherical icosahedral grids. (English) Zbl 1286.65118
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.

MSC:
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
86A10 Meteorology and atmospheric physics
Software:
NICAM; Fim; SSRFPACK
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