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

Viewed

Total article views: 2,497 (including HTML, PDF, and XML)
HTML PDF XML Total Supplement BibTeX EndNote
1,740 665 92 2,497 163 62 45
  • HTML: 1,740
  • PDF: 665
  • XML: 92
  • Total: 2,497
  • Supplement: 163
  • BibTeX: 62
  • EndNote: 45
Views and downloads (calculated since 08 Jul 2021)
Cumulative views and downloads (calculated since 08 Jul 2021)

Viewed (geographical distribution)

Total article views: 2,497 (including HTML, PDF, and XML) Thereof 2,352 with geography defined and 145 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 

Cited

Latest update: 22 Feb 2025
Download
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.
Read more
Share