Asymptotic gravity wave drag expressions for non-hydrostatic rotating flow over a ridge

Teixeira, M. A. C. ORCID: https://orcid.org/0000-0003-1205-3233, Miranda, P. M. A. and Cardoso, R. M. (2008) Asymptotic gravity wave drag expressions for non-hydrostatic rotating flow over a ridge. Quarterly Journal of the Royal Meteorological Society, 134 (630). pp. 271-276. ISSN 0035-9009 doi: 10.1002/qj.196

Abstract/Summary

Asymptotic expressions are derived for the mountain wave drag in flow with constant wind and static stability over a ridge when both rotation and non-hydrostatic effects are important. These expressions, which are much more manageable than the corresponding exact drag expressions (when these do exist) are found to provide accurate approximations to the drag, even when non-hydrostatic and rotation effects are strong, despite having been developed for cases where these effects are weak. The derived expressions are compared with approximations to the drag found previously, and their asymptotic behaviour in various limits is studied.