Abstract
In this note, the analytical model of Smith, which describes steady 2-dimensional downslope windstorms in uniform environmental flows with constant density, is extended into a sheared environmental flow having density decrease with height. Both the potential temperature and a vorticity-like quantity, which are conserved along the streamlines, are assumed to be linear functions of the stream function. By this assumption, the model becomes analytically tractable in spite of both the shear and density decrease of the environmental flow.
The result shows that the vertical profiles of environmental horizontal velocity and potential temperature have a great influence on the downslope windstorms as well as do their total differences between the upper and lower boundaries.
