HadCM3 has been run to produce simulations for periods of over a thousand years, showing little drift in its surface climate.
This corresponds to a spacing between points of approximately 300 km and is roughly comparable to T42 truncation in a spectral model.
This is the model behind PRECIS (Providing Regional Climates for Impacts Studies) as well as being the atmosphere component of the distributed computing project Climateprediction.net.
The atmospheric model is run for a day, and the fluxes (of heat, moisture and momentum) at the atmosphere-ocean interface are accumulated.
Unlike its predecessor HadCM2 there is no need for flux correction—the model climate remains stable and does not significantly drift.