Wave-wave interactions in a steady-state stratospheric model, part 1

Physics

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Atmospheric Models, Planetary Waves, Steady State, Stratosphere, Wave Equations, Nonlinearity, Rotating Bodies, Vertical Distribution, Wind (Meteorology), Wind Profiles, Winter

Scientific paper

Interactions among stationary planetary waves in a model winter stratosphere are studied both analytically and numerically. A triad of weakly dissipated, weakly interacting waves is examined using a steady-state hemispheric quasi-geostrophic model with a mean zonal wind in solid body rotation. Due to the structure of the model basic state, dissipation is required for the waves to interact. The nonlinear wave structure was found to depend crucially on the number of waves being forced at the lower boundary. By examining the streamfunction response to the leading-order nonlinear forcing terms, the weakly nonlinear wave structure was shown to depend on the vertical structure of the linear waves. It was demonstrated that the position of the response with respect to the forcing was determined to a large extent by the vertical propagation characteristics of the zeroth-order waves.

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