Computation of acoustic-gravity waves, Kelvin-Helmholtz instabilities, and wave-induced eddy transport in realistic atmospheric models

Statistics – Computation

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Atmospheric Models, Atmospheric Turbulence, Gravity Waves, Hydrodynamic Equations, Kelvin-Helmholtz Instability, Turbulent Diffusion, Wave Interaction, Atmospheric Stratification, Incompressible Flow, Internal Waves, Iterative Solution, Mesosphere

Scientific paper

A linear operational model is developed which describes acoustic-gravity waves and Kelvin-Helmholtz instabilities in compressible atmospheres with arbitrary vertical profiles of the mean temperature, wind, and viscosity coefficient. It is shown that the linearized hydrodynamic equations are solved by the nonstandard multilayer method and a Gauss-Seidel group iteration. Further, results from test computations of wave-critical interactions and a Kelvin-Helmholtz instability show good quantitative agreement with known theoretical results from simple incompressible models. Finally, a new iterative method is used to obtain the height profiles of the eddy transport coefficients.

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