A time-staggered semi-Lagrangian discretization of the rotating shallow-water equations
- A time-staggered semi-Lagrangian discretization of the rotating shallow-water equations is proposed and analysed. Application of regularization to the geopotential field used in the momentum equations leads to an unconditionally stable scheme. The analysis, together with a fully nonlinear example application, suggests that this approach is a promising, efficient, and accurate alternative to traditional schemes.
| Author details: | Andrew StaniforthORCiD, Nigel Wood, Sebastian ReichORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1256/qj.06.30 |
| ISSN: | 0035-9009 |
| Title of parent work (English): | Quarterly journal of the Royal Meteorological Society |
| Publisher: | Wiley |
| Place of publishing: | Weinheim |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2006/02/23 |
| Publication year: | 2006 |
| Release date: | 2020/05/26 |
| Tag: | regularization; temporal discretization |
| Volume: | 132 |
| Issue: | 621C |
| Number of pages: | 10 |
| First page: | 3107 |
| Last Page: | 3116 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
