Semi-Lagrangian Integration Schemes for Atmospheric Models—A Review

Andrew Staniforth Recherche en prévision numérique, Service de l'environnement atmosphérique, Dorval, Québec, Canada

Search for other papers by Andrew Staniforth in
Current site
Google Scholar
PubMed
Close
and
Jean Côté Recherche en prévision numérique, Service de l'environnement atmosphérique, Dorval, Québec, Canada

Search for other papers by Jean Côté in
Current site
Google Scholar
PubMed
Close
Full access

Abstract

The semi-Lagrangian methodology is described for a hierarchy of applications (passive advection, forced advection, and coupled sets of equations) of increasing complexity, in one, two, and three dimensions. Attention is focused on its accuracy, stability, and efficiency properties. Recent developments in applying semi-Lagrangian methods to 2D and 3D atmospheric flows in both Cartesian and spherical geometries are then reviewed. Finally, the current status of development is summarized, followed by a short discussion of future perspectives.

Abstract

The semi-Lagrangian methodology is described for a hierarchy of applications (passive advection, forced advection, and coupled sets of equations) of increasing complexity, in one, two, and three dimensions. Attention is focused on its accuracy, stability, and efficiency properties. Recent developments in applying semi-Lagrangian methods to 2D and 3D atmospheric flows in both Cartesian and spherical geometries are then reviewed. Finally, the current status of development is summarized, followed by a short discussion of future perspectives.

Save