Abstract

Abstract This paper investigates stationary axisymmetric balanced flow of a stably stratified dry non-Boussinesq atmosphere on the f plane. The circulation is forced in the troposphere through thermal relaxation toward a specified equilibrium temperature and is damped through Rayleigh friction in the interior of the domain. Surface friction is sufficiently strong to ensure weak surface winds. As in the analogous zonally symmetric problem studied by Plumb and Hou there is threshold behavior in the frictionless limit with a thermal equilibrium solution for subcritical forcing and a highly nonlinear so-called angular momentum conserving (AMC) solution for supercritical forcing. The latter is characterized by a sharp outward edge of the vortex circulation and a nonvanishing secondary cross-vortex circulation. In the frictionless limit, the secondary circulation does not reach above the region of the thermal forcing. Noticeable differences of the current problem with respect to the zonally symmetric problem ar...

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