Abstract
In this paper we outline a new particle-mesh method for rapidly rotating shallow water flows based on a set of regularized equations of motion. The time-stepping method uses an operator splitting of the equations into an Eulerian gravity wave part and a Lagrangian advection part. An essential ingredient is the advection of absolute vorticity by means of translated radial basis functions. We show that this implies exact conservation of enstrophy. The method is tested on two model problems based on the qualitative features of the solutions obtained (i.e., dispersion or smoothness of potential vorticity contours) as well as on the increase in mean divergence level.
| Original language | English |
|---|---|
| Pages (from-to) | 407-426 |
| Number of pages | 20 |
| Journal | Journal of Computational Physics |
| Volume | 180 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 10 Aug 2002 |
| Externally published | Yes |
Bibliographical note
Funding Information:1Partial support by GMD is gratefully acknowledged. 2Partial financial support by EPSRC Grant GR/R09565/01 and by European Commision funding for the Research Training Network “Mechanics and Symmetry in Europe” is gratefully acknowledged.
Funding
1Partial support by GMD is gratefully acknowledged. 2Partial financial support by EPSRC Grant GR/R09565/01 and by European Commision funding for the Research Training Network “Mechanics and Symmetry in Europe” is gratefully acknowledged.
Keywords
- Geophysical fluid dynamics
- Particle-mesh methods
- Potential vorticity conserving methods