A Spectral Parameterization of Drag, Eddy Diffusion and Wave Heating for a Three-Dimensional Flow Induced by Breaking Gravity Waves

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[0342] Atmospheric Composition And Structure / Middle Atmosphere: Energy Deposition, [3332] Atmospheric Processes / Mesospheric Dynamics, [3334] Atmospheric Processes / Middle Atmosphere Dynamics, [3384] Atmospheric Processes / Acoustic-Gravity Waves

Scientific paper

There are three distinct processes by which upward-propagating gravity waves influence the large-scale dynamics and energetics of the middle atmosphere: (i) non-localized transport of momentum through wave propagation in three dimensions (3D) that remotely redistributes atmospheric momentum in both zonal and meridional directions from wave generation to wave dissipation regions, (ii) localized diffusive transport of momentum, heat and tracers due to mixing induced by wave dissipation, and (iii) localized transport of heat by perturbing wave structures due to dissipation that redistributes the thermal energy within a finite domain. These effects become most significant for breaking waves when the "breaking trinity" of the momentum drag, eddy diffusion and wave heating are all imposed on the background state. This paper develops a 3D parameterization scheme that self-consistently includes the "breaking trinity" in large-scale numerical models. The 3D parameterization scheme is developed based on the general relationship between the wave action flux and the subgrid-scale momentum and heat fluxes developed by Zhu in 1987 and a mapping approximation between the wave source spectrum and momentum deposition distribution developed by Alexander and Dunkerton in 1999. For a given input wind profile at each model grid the parameterization scheme outputs the vertical profiles of the subgrid-scale force terms together with the eddy diffusion coefficients in the momentum and energy equations for a 3D background flow.

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