On the Effects of Moisture on the Brunt-Väisälä Frequency

Dale R. Durran National Center for Atmospheric Research, Boulder, CO 80307

Search for other papers by Dale R. Durran in
Current site
Google Scholar
PubMed
Close
and
Joseph B. Klemp National Center for Atmospheric Research, Boulder, CO 80307

Search for other papers by Joseph B. Klemp in
Current site
Google Scholar
PubMed
Close
Restricted access

We are aware of a technical issue preventing figures and tables from showing in some newly published articles in the full-text HTML view.
While we are resolving the problem, please use the online PDF version of these articles to view figures and tables.

Abstract

Expressions are derived for the Brunt- Väisälä frequency Nm, in a saturated atmosphere, which are analogous to commonly-used formulas for the dry Brunt- Väisälä frequency. These formulas are compared with others which have appeared in the literature, and the derivation by Lalas and Einaudi (1974) is found to be correct. The simplifying assumptions, implicit in derivations by Dudis (1972) and Fraser et al. (1973) are clarified. Numerical examples are presented which suggest that these incomplete formulations for Nm are reasonably accurate approximations, except when the saturated static stability is small. A new formula expressing Nm in terms of moist conservative variables is presented, and an accurate approximation is also given which may be useful when evaluating Nm.

Abstract

Expressions are derived for the Brunt- Väisälä frequency Nm, in a saturated atmosphere, which are analogous to commonly-used formulas for the dry Brunt- Väisälä frequency. These formulas are compared with others which have appeared in the literature, and the derivation by Lalas and Einaudi (1974) is found to be correct. The simplifying assumptions, implicit in derivations by Dudis (1972) and Fraser et al. (1973) are clarified. Numerical examples are presented which suggest that these incomplete formulations for Nm are reasonably accurate approximations, except when the saturated static stability is small. A new formula expressing Nm in terms of moist conservative variables is presented, and an accurate approximation is also given which may be useful when evaluating Nm.

Save