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Relationship between spectral and grid resolution

IFS is a model of two resolutions: the spectral resolution determining the number of retained waves and the corresponding grid onto which these waves can be transformed. A greater spectral resolution can improve the forecast quality whilst reduced Gaussian grid resolutions can improve the efficiency of the model. However, aliassing of the quadratic (and cubic) terms in the model equations can result from using linear grids, which needs to be compensated for in the model formulation.

Model timestep

The timestep depends on the horizontal resolution and the choice of the grid. ECMWF typically use a long a timestep as possible for efficiency reasons. However, there are times when this may result in some of the semi-Lagrangian trajectories going underground (messages can be seen in the model logfile), though generally this is not a problem.

Recommended maximum timesteps are given in the table below. Shorter timesteps can be used, though note that the model will not produce the exact same result between two forecasts with different timesteps.

Supported spectral and horizontal grid resolutions

The table below summarizes the supported configurations of the IFS and the relationship between spectral truncation, gridpoint resolution and the recommended timestep for optimum performance.

TruncationGridSpacing at EquatorRecommended
timestep (min)

Application

Tl1279N64016km / 0.1406o10Operational forecast resolution (40r1)

Tl1023

N51220km / 0.1758o10-
Tl799N40025km / 0.225o12-
Tl639N32031km / 0.28125o15ERA-5 high resolution
Tl511N25639km / 0.352o15-
Tl399N20050km / 0.45o20Operational ensemble resolution
Tl319N16063km / 0.5625o20ERA-5 ensemble
Tl255N12878km / 0.703o45ERA-Interim
Tq213N16063km / 0.5625o20-
Tl159N80125km / 1.125o60ERA-40
Tq106N80125km / 1.125o60-
Tl95N48209km / 1.875o60-
Tq63N48209km / 1.875o60-
Tq42N32310km / 2.813o30Development/testing only
Tq21N16626km / 5.625o30Development/testing only
  • T21 and T42 use the Eulerian dynamical core and a regular Gaussian grid.
  • T63 and above use the reduced Gaussian grid.
  • Tl denotes a linear grid, Tq denotes a quadratic grid.

Note that a linear grid allows a higher spectral truncation for the same number of gridpoints as a quadratic grid. Linear and quadratic in this sense means enough gridpoints are available to compute the linear and quadratic terms in the equations respectively.








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