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Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
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Volume 8, issue 6
Geosci. Model Dev., 8, 1831-1838, 2015
https://doi.org/10.5194/gmd-8-1831-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Geosci. Model Dev., 8, 1831-1838, 2015
https://doi.org/10.5194/gmd-8-1831-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

Development and technical paper 22 Jun 2015

Development and technical paper | 22 Jun 2015

Verifications of the high-resolution numerical model and polarization relations of atmospheric acoustic-gravity waves

N. M. Gavrilov1, S. P. Kshevetskii2, and A. V. Koval1 N. M. Gavrilov et al.
  • 1Atmospheric Physics Department, Saint-Petersburg State University, Saint-Petersburg, Russia
  • 2Theoretical Physics Department, Immanuel Kant Baltic Federal University, Kaliningrad, Russia

Abstract. Comparisons of amplitudes of wave variations of atmospheric characteristics obtained using direct numerical simulation models with polarization relations given by conventional theories of linear acoustic-gravity waves (AGWs) could be helpful for testing these numerical models. In this study, we performed high-resolution numerical simulations of nonlinear AGW propagation at altitudes 0–500 km from a plane wave forcing at the Earth's surface and compared them with analytical polarization relations of linear AGW theory. After some transition time te (increasing with altitude) subsequent to triggering the wave source, the initial wave pulse disappears and the main spectral components of the wave source dominate. The numbers of numerically simulated and analytical pairs of AGW parameters, which are equal with confidence of 95 %, are largest at altitudes 30–60 km at t > te. At low and high altitudes and at t < te, numbers of equal pairs are smaller, because of the influence of the lower boundary conditions, strong dissipation and AGW transience making substantial inclinations from conditions, assumed in conventional theories of linear nondissipative stationary AGWs in the free atmosphere. Reasonable agreements between simulated and analytical wave parameters satisfying the scope of the limitations of the AGW theory prove the adequacy of the used wave numerical model. Significant differences between numerical and analytical AGW parameters reveal circumstances when analytical theories give substantial errors and numerical simulations of wave fields are required. In addition, direct numerical AGW simulations may be useful tools for testing simplified parameterizations of wave effects in the atmosphere.

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We performed high-resolution numerical simulations of nonlinear acoustic-gravity waves (AGWs) at altitudes 0–500km and compared them with analytical polarization relations of linear AGW theory. After some transition time, t > te, the numbers of numerically simulated and analytical pairs of AGW parameters, which are equal to confidence 95%, are larger at altitudes 30-60km and are smaller at t < te. The differences reveal circumstances where numerical simulations of waves are required.
We performed high-resolution numerical simulations of nonlinear acoustic-gravity waves (AGWs) at...
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