Abstract
To leading order the synoptic- and planetary-scale flow of the troposphere can be understood in terms of a zonal-mean circulation interacting with Rossby waves. In the stratosphere above the tropopause and especially in the mesosphere above the stratopause at about 50 km altitude, however, mesoscale gravity waves are a factor not to be ignored. Gravity waves are emitted by various processes in the troposphere, most prominently flow over mountains, convection, and so-called spontaneous imbalance near jets and fronts. From all of these processes gravity waves radiate upward into the middle atmosphere. Measurements and observations typically show strong gravity-wave activity in these altitudes. Their dynamics is a wide field, easily filling books on their own, that this chapter cannot cover by far. Instead, it gives a short overview on the empirical findings why it is relevant, then discusses the fundamental wave motions of an atmosphere at rest, moves on to the description of the interaction between mesoscale gravity waves and a synoptic-scale flow, and finally demonstrates how that theory can explain the observed gravity-wave effects in the middle atmosphere.
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Notes
- 1.
A generalization incorporating stratospheric conditions is possible.
- 2.
As will be shown below, it is a peculiar property of the gravity waves in the considered scaling regime that there is no Doppler term due to self-advection by the gravity-wave winds themselves. This holds as long as the gravity-wave field is locally monochromatic.
- 3.
This is possible as long as it is taken into account in the analysis of the corresponding higher orders in \(\varepsilon \).
- 4.
The proper generalization including higher harmonics is given in the Appendix I.
- 5.
\(\overline{\rho }\) and \(\overline{\theta }\) still denote density and potential temperature of the reference atmosphere.
- 6.
This would not be the case under equinoctial conditions, where one has a climatological-mean time derivative describing the transition from summer to winter and vice versa.
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Achatz, U. (2022). Gravity Waves and Their Impact on the Atmospheric Flow. In: Atmospheric Dynamics. Springer Spektrum, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-63941-2_10
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DOI: https://doi.org/10.1007/978-3-662-63941-2_10
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