# Barotropic vorticity equation

From AMS Glossary

## barotropic vorticity equation

The vorticity equation in the absence of horizontal divergence and vertical motion, so that the absolute vorticity of a parcel is materially conserved, 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.