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Adiabatic formulation of
large-scale models of the atmosphere
Finite-difference schemes for the horizontal
discretization. April 1994
By A. J.
Simmons
European Centre for Medium-Range Weather
Forecasts
| NUMERICAL METHODS | |||||||
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Table of contents
1 . Introduction
2 . Distribution of grid-points
3 . Staggering of variables
| 3.1 Staggered grids |
| 3.2 The linearized shallow-water equations on an f-plane |
| 3.2 (a) Discretizations of the linearized shallow-water equations |
| 3.3 The time-staggered D (Eliassen) grid |
| 3.4 Grid splitting |
| 3.5 Applications |
4 . Conservation and Eulerian advection schemes
| 4.1 Introduction |
| 4.2 The shallow-water equations on the sphere |
| 4.3 A conserving finite-difference scheme for the shallow-water equations on the sphere. |
| 4.4 Some other conserving schemes |
5 . Treatment of the poles
| 5.1 Formulation of the finite-difference scheme |
| 5.2 Computational stability |
References
Training Course Notes Front Page >>
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13.06.2002 |
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