Parabolic equation modeling of azimuthally advected gravity waves

An adiabatic mode solution is derived for azimuthally advected gravity wave s. Horizontal variations in the medium are assumed to be sufficiently gradu al so that the coupling of energy between modes can be neglected. The wind speed is assumed to be small relative to the wave speed. The mode coefficie nts satisfy the same horizontal wave equation for both gravity and acoustic waves, which satisfy three-dimensional wave equations that are fundamental ly different. The horizontal wave equation can be solved efficiently with t he parabolic equation method. The adiabatic mode solution is used to model the propagation of gravity waves in the atmosphere of Jupiter. (C)2000 Else vier Science B.V. All rights reserved.