Foreword to the French edition Olivier Talagrand |
|
viii | |
Foreword to the English edition Andrew Staniforth |
|
x | |
Preface |
|
xi | |
Acknowledgments |
|
xiii | |
Partial list of symbols |
|
xv | |
|
1 Half a century of numerical weather prediction |
|
|
1 | (14) |
|
|
1 | (1) |
|
|
2 | (1) |
|
1.3 Half a century of continual progress |
|
|
3 | (8) |
|
1.4 Developments in computing |
|
|
11 | (4) |
|
2 Weather prediction equations |
|
|
15 | (24) |
|
|
15 | (1) |
|
2.2 The simplifications and the corresponding models |
|
|
16 | (8) |
|
2.3 The equations in various systems of coordinates |
|
|
24 | (5) |
|
2.4 Some typical conformal projections |
|
|
29 | (10) |
|
|
39 | (18) |
|
|
39 | (1) |
|
3.2 The finite difference method |
|
|
39 | (7) |
|
3.3 The grids used and their properties |
|
|
46 | (9) |
|
|
55 | (2) |
|
|
57 | (22) |
|
|
57 | (1) |
|
4.2 Using series expansions in terms of functions |
|
|
57 | (4) |
|
4.3 Spectral method on the sphere |
|
|
61 | (12) |
|
4.4 Spectral method on a doubly periodic domain |
|
|
73 | (6) |
|
5 The effects of discretization |
|
|
79 | (27) |
|
|
79 | (1) |
|
5.2 The linearized barotropic model |
|
|
79 | (3) |
|
5.3 Effect of horizontal discretization |
|
|
82 | (5) |
|
5.4 Various time integration schemes |
|
|
87 | (15) |
|
|
102 | (1) |
|
5.6 Effect of spatial discretization on stability |
|
|
103 | (3) |
|
|
106 | (30) |
|
6.1 Barotropic models using the vorticity equation |
|
|
106 | (8) |
|
6.2 The shallow water barotropic model |
|
|
114 | (13) |
|
6.3 Spectral processing of the shallow water model |
|
|
127 | (8) |
|
6.4 Practical use of the shallow water model |
|
|
135 | (1) |
|
7 Baroclinic model equations |
|
|
136 | (21) |
|
|
136 | (1) |
|
7.2 Introducing a general vertical coordinate |
|
|
136 | (1) |
|
7.3 Application to the primitive equations |
|
|
137 | (3) |
|
7.4 Various vertical coordinates |
|
|
140 | (6) |
|
7.5 Generalization to nonhydrostatic equations |
|
|
146 | (5) |
|
7.6 Conservation properties of the equations |
|
|
151 | (4) |
|
|
155 | (2) |
|
|
157 | (35) |
|
|
157 | (1) |
|
8.2 The context of discretization |
|
|
157 | (3) |
|
8.3 Vertical discretization of the equations |
|
|
160 | (7) |
|
8.4 A sigma coordinate and finite difference model |
|
|
167 | (12) |
|
8.5 Formalization of the semi-implicit method |
|
|
179 | (3) |
|
8.6 A variable resolution spectral model |
|
|
182 | (8) |
|
8.7 Lagrangian advection in baroclinic models |
|
|
190 | (2) |
|
9 Physical parameterizations |
|
|
192 | (53) |
|
|
192 | (2) |
|
9.2 Equations for a multi-phase moist atmosphere |
|
|
194 | (5) |
|
|
199 | (14) |
|
9.4 Boundary layer and vertical diffusion |
|
|
213 | (12) |
|
9.5 Precipitation resolved at the grid scale |
|
|
225 | (6) |
|
|
231 | (6) |
|
9.7 Effect of sub-grid orography |
|
|
237 | (4) |
|
|
241 | (2) |
|
9.9 Validation of physical parameterizations |
|
|
243 | (2) |
|
10 Operational forecasting |
|
|
245 | (40) |
|
|
245 | (1) |
|
10.2 Meteorological observations |
|
|
245 | (3) |
|
10.3 Objective analysis and data assimilation |
|
|
248 | (11) |
|
10.4 Initialization of data on starting the model |
|
|
259 | (4) |
|
|
263 | (3) |
|
10.6 Post-processing of model output |
|
|
266 | (2) |
|
|
268 | (2) |
|
10.8 The forecasting process |
|
|
270 | (1) |
|
10.9 Forecast verification |
|
|
271 | (5) |
|
10.10 Ensemble forecasting |
|
|
276 | (4) |
|
10.11 International cooperation |
|
|
280 | (1) |
|
|
281 | (4) |
|
Appendix A Examples of nonhydrostatic models |
|
|
285 | (30) |
|
|
285 | (1) |
|
|
285 | (11) |
|
|
296 | (19) |
Further reading |
|
315 | (3) |
References |
|
318 | (19) |
Index |
|
337 | |