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1. The status and development of the ECMWF forecast model M. Hortal, M. Miller, C. Temperton, A. Untch, N. Wedi
ECMWF
2. Layout of the talk Continuous form of the equations
Horizontal resolutions and spectral method
Vertical resolution and vertical discretization
Semi-Lagrangian scheme
Efficiency
Mass conservation and noise reduction
Coupling with physics
Future plans
3. Continuous equations
5. Horizontal resolutions in use at ECMWF TL511 for the deterministic forecast and outer loop of 4D-Var with a time step
TL255 for EPS
TL159 for inner loop of 4D-Var
TL95 for seasonal forecast
TL42 for error minimization computation
TL799 used in some tests
6. D+3 rainfall from a TL799 experiment
7. Full and reduced Gaussian grids
8. The quadratic and linear Gaussian grids
9. Cost of various parts of the model at different horizontal resolutions
10. Vertical resolutions used at ECMWF 60 levels for deterministic forecasts & 4D-Var (top at 0.1 hPa)
40 levels for EPS and seasonal forecasts (top at 10 hPa)
90 levels under test (top at 0.1 hPa)
11. Vertical discretization In the semi-Lagrangian framework no vertical derivatives are needed
Vertical integrals are computed with a finite-element method based on cubic B-splines
Main benefits of finite-element scheme:
no staggering of variables is required (advantage for semi-Lagrangian)
reduction in vertical noise in the stratosphere
significant reduction of a persistent cold bias in the lower stratosphere
improved vertical transport ( => better conservation of ozone)
smallest eigenvalues of the vertical modes are 10x larger than with the finite-difference method using the Lorenz staggering (facilitates use of PV as control variable in 4D-Var)
14. Two-time-level semi-Lagrangian(SETTLS scheme)
15. Efficiency of algorithms
16. Continuity & thermodynamic equations
17. Coupling of the dynamics with the physical parameterizations
18. Validity of the present setup of the model Experience so far indicates that hydrostatic models give very similar results to non-hydrostatic ones at horizontal resolutions down to about 10 km
The spectral transform method will remain affordable and competitive down to about 15 km
Latitude-longitude grids allow easy coding of semi-Lagrangian advection schemes and communications in MPP’s
19. Plans for the future Higher horizontal resolution
TL1280 (~15 km)
Higher vertical resolution
L90 by 2003, L120
Reduction in cost of spectral transforms
spherical harmonics double Fourier series
Improvements to semi-Lagrangian scheme:
improve interpolation (cubic spline for the vertical)
add formal conservation properties
Improve interfacing between dynamics and physics
20. Plans for the future (cont.) Non-hydrostatic when the horizontal resolution approaches 10 km
Relax the shallow-atmosphere approximation (coded for the IFS already by Meteo-France)
Increase the degree of implicitness
tests have been performed with a predictor-corrector method
re-computation of the semi-Lagrangian trajectory in the corrector step improves the forecast skill scores, mainly at high horizontal resolution