Articles | Volume 15, issue 6
Geosci. Model Dev., 15, 2561–2597, 2022
https://doi.org/10.5194/gmd-15-2561-2022
Geosci. Model Dev., 15, 2561–2597, 2022
https://doi.org/10.5194/gmd-15-2561-2022
Development and technical paper
28 Mar 2022
Development and technical paper | 28 Mar 2022

Improved double Fourier series on a sphere and its application to a semi-implicit semi-Lagrangian shallow-water model

Hiromasa Yoshimura

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Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on gmd-2021-168', Anonymous Referee #1, 30 Jul 2021
  • RC2: 'Comment on gmd-2021-168', Anonymous Referee #2, 02 Aug 2021
  • RC3: 'Comment on gmd-2021-168', Anonymous Referee #3, 10 Sep 2021
    • AC3: 'Reply on RC3', Hiromasa Yoshimura, 18 Sep 2021

Peer review completion

AR: Author's response | RR: Referee report | ED: Editor decision
AR by Hiromasa Yoshimura on behalf of the Authors (28 Oct 2021)  Author's response    Author's tracked changes    Manuscript
ED: Referee Nomination & Report Request started (01 Nov 2021) by Ignacio Pisso
RR by Anonymous Referee #3 (20 Nov 2021)
RR by Anonymous Referee #2 (05 Dec 2021)
ED: Publish subject to minor revisions (review by editor) (21 Dec 2021) by Ignacio Pisso
AR by Hiromasa Yoshimura on behalf of the Authors (15 Jan 2022)  Author's response    Author's tracked changes    Manuscript
ED: Publish subject to technical corrections (17 Feb 2022) by Ignacio Pisso
AR by Hiromasa Yoshimura on behalf of the Authors (23 Feb 2022)  Author's response    Manuscript
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Short summary
This paper proposes a new double Fourier series (DFS) method on a sphere that improves the numerical stability of a model compared with conventional DFS methods. The shallow-water model and the advection model using the new DFS method give stable results without the appearance of high-wavenumber noise near the poles. The model using the new DFS method is faster than the model using spherical harmonics (especially at high resolutions) and gives almost the same results.