Flow over mountains with the stream velocity shear

Abstract

The dependence of orographic disturbances of the atmosphere on properties of the incident flow is studied within the semianalytic approach. Reducing the initial system of equations of hydrothermodynamics to a single equation for an associative stream function makes it possible to consider a class of solutions of a sufficiently general type when the background velocity of the wind and the Lyra’s scale vary with height. It is shown that the dependence of the solution on the indicated factors can be not only strong, but also sufficiently unexpected. In particular, with the monotonic growth in the wind velocity in the troposphere, which corresponds to conditions of a jet stream near the tropopause, disturbances at low and medium heights can acquire an almost resonant and waveguide nature.