Articles | Volume 19, issue 14
https://doi.org/10.5194/gmd-19-6545-2026
https://doi.org/10.5194/gmd-19-6545-2026
Review and perspective paper
 | 
21 Jul 2026
Review and perspective paper |  | 21 Jul 2026

Accurate and robust geometric algorithms for regridding on the sphere

Hongyu Chen, Paul A. Ullrich, Julian Panetta, David Marsico, Moritz Hanke, Rajeev Jain, Chengzhu Zhang, and Robert L. Jacob

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Cited articles

Aitelhad, A.: On spherical barycentric coordinates, arXiv [preprint], https://doi.org/10.48550/arXiv.2204.12923, 2022. a
Alexandrov, V.: Using Stokes' Theorem on the Sphere (Problem 10957), Problems and Solutions, American Mathematical Monthly, https://doi.org/10.2307/4145233, 2002. a
Arakawa, A. and Lamb, V. R.: Computational Design of the Basic Dynamical Processes of the UCLA General Circulation Model, in: Methods in Computational Physics: Advances in Research and Applications, Vol. 17, edited by: Chang, J., Elsevier, https://doi.org/10.1016/B978-0-12-460817-7.50009-4, 1977. a
Attene, M.: Indirect Predicates for Geometric Constructions, Comput. Aided Design, 126, 102856, https://doi.org/10.1016/j.cad.2020.102856, 2020. a, b, c
Barth, T. and Jespersen, D.: The design and application of upwind schemes on unstructured meshes, in: 27th Aerospace Sciences Meeting, p. 366, https://doi.org/10.2514/6.1989-366, 1989. a
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Editorial statement
Regridding is one of the most common operations in geoscientific modeling and data analysis. However, regridding algorithms are rarely documented together or systematically compared in a manner that elucidates their relative strengths and appropriate use. This review paper addressed this gap.
Short summary
Accurate data transfer between different grids is essential in climate and weather modeling. This study analyzes the geometric operations that underpin such transfers on the spherical Earth, identifies gaps and limitations in current methods, and introduces improved algorithms to ensure accuracy, reliability, and performance for next-generation modeling and data analysis systems.
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