Forced, stationary waves in a linear, stratified, quasi-geostrophic atmosphere

A finite difference model and an approximate WKB analysis were employed to test the validity of three of the Smagorinsky conclusions (1953) regarding the influence of diabatic heating upon the resultant stationary eddies. The conclusions comprised a necessity of including surface friction to avoid resonance, to account for stratospheric influence to accurately estimate the magnitude of the disturbances in the upper third of the troposphere, and the adequacy of the linear model for describing the gross features of sea-level normals at middle and high latitudes. Results of the WKB analysis of the effects of orography and diabatic heating demonstrate that streamfunctions are produced when orography forces a stationary solution. The surface friction is concluded to have a negligible effect on the solutions when the wind speeds are low. The solutions, however, require the presence of a lid for the middle troposphere to eliminate resonance responses.