Repository: Freie Universität Berlin, Math Department

Towards a numerical laboratory for investigations of gravity-wave 2 mean-ow interactions in the atmosphere

Schmid, Fabienne and Gagarina, Elena and Klein, R. and Achatz, Ulrich (2021) Towards a numerical laboratory for investigations of gravity-wave 2 mean-ow interactions in the atmosphere. Monthly Weather Review MWR-D-21-0126 . pp. 1-75. (Submitted)

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Idealized integral studies of the dynamics of atmospheric inertia-gravity waves (IGWs) from their sources in the troposphere (e.g., by spontaneous emission from jets and fronts) to dissipation and mean- ow e�ects at higher altitudes could contribute to a better treatment of these processes in IGW parameterizations in numerical weather prediction and climate simulation. It seems important that numerical codes applied for this purpose are e�cient and focus on the essentials. Therefore a previously published staggered-grid solver for f-plane soundproof pseudo-incompressible dynamics is extended here by two main components. These are 1) a semi-implicit time stepping scheme for the integration of buoyancy and Coriolis e�ects, and 2) the incorporation of Newtonian heating consistent with pseudo-incompressible dynamics. This heating function is used to enforce a temperature pro�le that is baroclinically unstable in the troposphere and it allows the background state to vary in time. Numerical experiments for several benchmarks are compared against a buoyancy/Coriolis-explicit third-order Runge-Kutta scheme, verifying the accuracy and ef- �ciency of the scheme. Preliminary mesoscale simulations with baroclinic-wave activity in the troposphere show intensive small-scale wave activity at high altitudes, and they also indicate there the expected reversal of the zonal-mean-zonal winds.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:2621
Deposited By: Monika Drueck
Deposited On:11 Oct 2021 11:52
Last Modified:25 Jan 2022 08:58

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