Gravity wave propagation in a non-isothermal atmosphere with varying background wind

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3332 Mesospheric Dynamics, 3334 Middle Atmosphere Dynamics (0341, 0342), 3369 Thermospheric Dynamics (0358), 3379 Turbulence (4490), 3384 Acoustic-Gravity Waves

Scientific paper

We present a gravity wave propagation equation for a compressible and non-isothermal atmosphere with a variable background wind profile. Impact of all the gradient terms on the vertical wavenumber depends only on the phase velocity and the state of the background atmosphere. For the background wind variation, any one of the linear first order derivative, second order derivatives, and the square of the first order derivative terms can be the dominate term under different conditions. For temperature variation, only the linear first order derivative is important for waves having a slow phase velocity. Our equation indicates that the effect of wind shear on the vertical wavenumber is opposite to that predicted by the Taylor-Goldstain equation, which assumes an incompressible fluid. We also discuss gravity wave ducting in the mesosphere using the new dispersion relation.

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