Geoscientific Model Development
Geoscientific Model Development
GMD
Articles | Volume 15, issue 6
Articles | Volume 15, issue 6
https://doi.org/10.5194/gmd-15-2561-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-15-2561-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 15, issue 6
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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Latest update: 12 Jul 2025
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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.
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