Abstract

The increase in amplitudes of upward propagating gravity waves (GWs) with height due to decreasing density is usually described by exponential growth; however, recent measurements detected a much stronger increase in gravity wave potential energy density (GWPED) during daylight than night-time (increase by a factor of about 4 to 8 between middle stratosphere and upper mesosphere), which is not well understood up to now. This paper suggests that ozone-gravity wave interaction in the upper stratosphere/lower mesosphere is largely responsible for this phenomenon. The coupling between ozone-photochemistry and temperature is particularly strong in the upper stratosphere where the time-mean ozone mixing ratio is decreasing with height; therefore, an initial uplift of an air parcel must lead to a local increase in ozone and in the heating rate compared to the environment, and, hence, to an amplification of the initial uplift. Standard solutions of upward propagating GWs with linear ozone-temperature coupling are formulated suggesting local amplitude amplifications during daylight of 5 to 15 % for low-frequency GWs (periods ≥4 hours), as a function of the intrinsic frequency which decreases if ozone-temperature coupling is included. Subsequently, for horizontal wavelengths larger than 500 km and vertical wavelengths smaller than 5 km, the cumulative amplification during the upward level-by-level propagation leads to much stronger amplitudes in the GW perturbations (factor of about 1.5 to 3) and in the GWPED (factor of about 3 to 9) at upper mesospheric altitudes. The results open a new viewpoint for improving general circulation models with resolved or parameterized GWs.

Highlights

  • Atmospheric gravity waves (GWs), with horizontal wavelengths of 100 km to 2000 km, are produced in the troposphere and propagate vertically through the stratosphere and mesosphere, where gravity wave breaking processes are an important 45 driver of the middle atmospheric circulation (e.g., Andrews et al, 1986; Fritts and Alexander, 2003)

  • 3 Summary and conclusions The present paper shows that ozone-gravity wave interaction in the upper stratosphere/lower mesosphere (USLM) leads to a stronger increase of gravity wave (GW) amplitudes with height during daylight than nighttime, during polar summer

  • Standard equations describing upward propagating GWs with and without linearized ozone-gravity wave coupling are formulated, where an initial sinusoidal GW perturbation in the vertical ozone transport and temperaturedependent ozone photochemistry produces a heating rate perturbation as a function of the initial intrinsic frequency, which determines the local duration of the perturbation over the distance of the initial vertical wavelength

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Summary

Introduction

Atmospheric gravity waves (GWs), with horizontal wavelengths of 100 km to 2000 km, are produced in the troposphere and propagate vertically through the stratosphere and mesosphere, where gravity wave breaking processes are an important 45 driver of the middle atmospheric circulation (e.g., Andrews et al, 1986; Fritts and Alexander, 2003). Baumgarten et al (2017) derived the GWPED from full-day Lidar temperature measurements at northern mid-latitudes (54°N, 12°E), and found much stronger values at 60 km compared to 35 km for full-day than night-time observations during summer (factor of more than 2) but less pronounced differences during winter. ( z=constant) suggesting an effective ozone adiabatic lapse rate in the upper stratosphere analogously to the moist adiabatic 85 lapse rate in the troposphere Overall, this process must lead to a significant local amplification of the initial GW amplitude and, to an over-exponentially growth of the amplitude during the upward level-by-level propagation through the ULSM. The HAMMONIA model includes 119 layers up to 250 km with increasing vertical resolution between 0.7 km in the middle stratosphere and 1.4 km in the middle mesosphere, with a horizontal resolution of 3.75°; in the following, this grid is used 105 to illustrate the analytic solutions of upward propagating GWs

Local amplification of gravity wave amplitudes Following Fritts and
Findings
Upward propagating GWs in a background flow
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