23 Apr 2024
 | 23 Apr 2024
Status: this preprint is open for discussion.

Centroids in second-order conservative remapping schemes on spherical coordinates

Fuyuki Saito

Abstract. The transformation of data from one grid system to another is common in climate studies. Among the many schemes used for such transformations is second-order conservative remapping. In particular, a second-order conservative remapping scheme first introduced in 1987 and extended in 1999 to work on the general grids of a sphere has, either directly or indirectly, has served as an important base in a variety of studies.

In this study, the author describes a fundamental problem in the derivation of the method proposed by a pioneer study relating to the treatment of the centroid used as a reference point for the second-order terms in the longitudinal direction. In principle, use of the original formulation may cause damage to the entire remapping result. However, a method's native implementation software includes a preprocessing procedure that tends to minimize or even erase the error as a side effect in many, if not most, typical applications. In this study, three alternative formulations are proposed and tested and are shown to work in a simple application.

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Fuyuki Saito

Status: open (until 02 Jul 2024)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on egusphere-2024-1101', Moritz Hanke, 24 Apr 2024 reply
  • RC2: 'Comment on egusphere-2024-1101', Phil Jones, 21 May 2024 reply
    • AC1: 'Reply on RC2 (a brief question to confirm one formulation)', Fuyuki Saito, 21 May 2024 reply
Fuyuki Saito

Data sets

Resources of Saito (submitted to GMD) — software and experiment data archives Fuyuki Saito

SCRIP-p (p is for pivot) F. Saito

Fuyuki Saito


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Short summary
A second-order conservative remapping is a common and standard method for transformation of data from one grid system to another in climate studies. The author describes a fundamental problem in the derivation of the method in spherical coordinates proposed by a pioneer study, which might be unrealized for a quarter century.