where
is the vertical component of vorticity, f the
Coriolis parameter, w the vertical velocity,
the
specific volume, and P the pressure.
The first, or divergence, term on the right-hand-side dominates
in large-scale motion. The second term represents the transformation
of vorticity from the horizontal to the vertical component, and
the third represents the direct generation of vorticity by
horizontal density and pressure gradients.