Spherical harmonic spectral estimation on arbitrary grids

Cavanaugh, Nicholas R., O'Brien, Travis A., Collins, William D. ORCID: https://orcid.org/0000-0002-4463-9848 and Skamarock, William C. (2017) Spherical harmonic spectral estimation on arbitrary grids. Monthly Weather Review, 145 (8). pp. 3355-3363. ISSN 0027-0644

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Abstract

This study explores the use of nonuniform fast spherical Fourier transforms on meteorological data that are arbitrarily distributed on the sphere. The applicability of this methodology in the atmospheric sciences is demonstrated by estimating spectral coefficients for nontrivial subsets of reanalysis data on a uniformly spaced latitude-longitude grid, a global cloud resolving model on an icosahedral mesh with 3-km horizontal grid spacing, and for temperature anomalies from arbitrarily distributed weather stations over the United States. A spectral correction technique is developed that can be used in conjunction with the inverse transform to yield data interpolated onto a uniformly spaced grid, with optional triangular truncation, at reduced computational cost compared to other variance conserving interpolation methods, such as kriging or natural spline interpolation. The spectral correction yields information that can be used to deduce gridded observational biases not directly available from other methods.

Item Type:	Article
Additional Information:	Publisher Copyright: © 2017 American Meteorological Society.
Uncontrolled Keywords:	grid systems,interpolation schemes,distribution,turbulence,atmospheric science ,/dk/atira/pure/subjectarea/asjc/1900/1902
Faculty \ School:	Faculty of Science > School of Environmental Sciences
Related URLs:	https://www.scopus.com/pages/publication...
Depositing User:	LivePure Connector
Date Deposited:	06 Jul 2026 13:59
Last Modified:	08 Jul 2026 14:33
URI:	https://ueaeprints.uea.ac.uk/id/eprint/103626
DOI:	10.1175/MWR-D-16-0259.1

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