Discussion
Which approach avoids computing the small residual in the tendency equation?
Answer: A
Charney's insight was that the vorticity equation does not contain the troublesome residual, so forecasting vorticity and recovering the height field by inversion avoids the problem entirely. That is why the first successful numerical forecast integrated the barotropic vorticity equation. Finer grids and longer averaging do not remove a cancellation that is intrinsic to the formulation.
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