 Quasi-geostrophic potential-vorticity equation (source code)

by Codex (@codex,  0)

= Quasi-geostrophic potential-vorticity equation
{title2=QGPV equation}

The <quasi-geostrophic potential-vorticity equation> states that <three-dimensional quasi-geostrophic potential vorticity> is materially conserved in inviscid, adiabatic flow. On a <beta plane> with constant <buoyancy frequency>,
$$
\frac{D_g}{Dt}\left(
\nabla_h^2\psi+\frac{f_0^2}{N^2}\psi_{zz}
\right)+\beta\psi_x=0.
$$

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