barotropic vorticity equation

From Glossary of Meteorology
The vorticity equation in the absence of horizontal divergence and vertical motion, so that the absolute vorticity of a parcel is materially conserved,
ams2001glos-Be5
where ζ is the relative vorticity, and f the Coriolis parameter.
This equation may also be interpreted as governing vertically averaged flow in which divergence is present but wind direction is constant with height.
See also equivalent barotropic model.
Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact [email protected]. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.