Mass and wind axial angular-momentum responses to mountain torques in the 1-25 day band: Links with the Arctic Oscillation

François Lott  and Fabio D'Andrea

Quarterly Journal of the Royal Meteorological Society,   Volume: 131 Number: 608 Page: 1483 -- 1500 2005.
 DOI:
10.1256/qj.03.168

Abstract

Using the NCAR/NCEP reanalysis data, we analyse the atmospheric angular momentum M response to torques T in the 1-25 d spectral band. At these periodicities, the variations in M are equally distributed between variations in wind angular momentum MR and mass angular momentum M. They are driven by mountain torques TM which are substantially larger than boundary-layer torques TB. This equipartition between MR and M occurs because the response to TM in most cases satisfies the geostrophic balance, and because the major mountain ranges are located in the midlatitudes. At these latitudes, an external positive zonal-mean zonal force is in good part equilibrated by a flux of mass equatorward through the Coriolis force, a process that increases M. In geostrophic balance with this mass redistribution, the zonal-mean zonal wind increases where the force is applied and MR increases as well. This process leads to MR M for parameters representative of the earth's atmosphere.

This explanation of the equipartition between M and MR is confirmed by two pieces of independent evidence. The first is based on the reanalysis data, in which we evaluate the contribution of six non-overlapping latitudinal sectors to TM hence varying the importance of the Coriolis force. When the mountain torque T Mis produced by mountains located in the Arctic and Antarctic sectors, the changes in M dominate those in MR. It is the other way round when TM is produced by mountains located in the equatorial sector and M MR when TM is due to mountains located in the subtropics or in the midlatitudes.
The second is based on results from a one-layer shallow-water axisymmetric model on a sphere, where zonal body forces centred at different latitudes are specified. The latitudinal dependence of the repartition between MR and M found in the data is reproduced by the model with M MR when the force is centred in the midlatitudes.
The Arctic Oscillation (AO) pattern being associated with substantial M, the significance of these results for the atmospheric circulation variability is also discussed. In the 1-25 d band, the AO variations are very significantly related to M variations driven by TM. This result suggests that in this band the mountain ranges substantially affect the AO variability.

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