Thermal Equilibration of Planetary Waves.

Physics

Scientific paper

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Scientific paper

Equilibration of planetary waves toward free-mode forms, steady solutions of the unforced, undamped equations of motion, is studied in a three-level quasi-geostrophic model on the hemisphere. A thermal mechanism is invoked, parameterized as a Newtonian process Q = [ggr](T T(), relaxing the atmosphere toward a radiative-convective equilibrium temperature T( on [ggr]1 time scales. If T( is chosen to project onto the class of finite-amplitude stationary Rossby waves, T can closely approach T( if, simultaneously, the surface winds vanish switching off the Ekman layers at the surface. The equilibrated state is characterized by vertical phase lines, zero surface winds, vanishing diabatic heating rates and a temperature field that is phase-locked with T( corresponding to ridges over the oceans and troughs over the land. The form of the equilibrated planetary wave is contrasted with the classical thermally forced response obtained when T( does not have free-mode form. Anomaly fields calculated from the model, the difference between equilibrated and nonequilibrated waves, have a characteristic pattern which is reminiscent of Rossby wave trains.

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