Hayashi, Y., D. G. Golder, J. D. Mahlman, and S. Miyahara, 1989: The effect of horizontal resolution on gravity waves simulated by the GFDL "SKYHI" general circulation model. Pure and Applied Geophysics, 130, (2/3), 421-443.

Abstract: To examine the effects of horizontal resolution on internal gravity waves simulated by the 40-level GFDL "SKYHI" general circulation model, a comparison is made between the 3 degree and 1 degree resolution models during late December. The stratospheric and mesospheric zonal flows in the winter and summer extratropical regions of the 1 degree model are much weaker and mroe realistic than the corresponding zonal flows of the 3 degree model. The weaker flows are consistent with the stronger Eliassen-Palm flux divergence (EPFD).
The increase in the magnitude of the EPFD in the winter and summer extratropical mesospheres is due mostly to the increase in the gravity wave VMFC. In the winter extratropical mesosphere, the increase of VMFC associated with large-scale eastward moving components also accounts for part of the increase in the gravity wave VMFC.
The gravity waves in the summer and winter mesosphere of the 1 degree model are associated with a broader frequency-spectra distribution, resulting in a more sporadic time-distribution of their VMFC. This broadening is due not only to the increase in resolvable horizontal wavenumbers but also occurs in the large-scale components owing to wave-wave interactions. It was found that the phase velocity and frequency of resolvable small-scale gravity waves are severely underestimated by finite diffence approximations.