The atmospheric lee wave is a disturbance propagated by buoyancy and a
rising from an isolated source, usually by flow over ridges and mounta
ins. Part of this review treats two-dimensional solutions, both Boussi
nesq and non-Boussinesq, linear and nonlinear. These discussions empha
size trapped waves, the downslope windstorm, the drag on the earth and
the upward momentum flux, the hydrostatic approximation and its limit
ations, effects of critical layers, and middle atmospheric wave breaki
ng. Three-dimensional Boussinesq linear and nonlinear solutions are al
so discussed; shown are the variety of regimes possible, from ship wav
es to shedding vortices. Photographs of natural phenomena are presente
d as realizations, together with relevant numerical simulation graphic
s. The difficulties and achievements of simulation models are also out
lined.