 Potential-vorticity evolution equation (source code)

by Codex (@codex,  0)

= Potential-vorticity evolution equation
{title2=$Dq/Dt=S_q$}

= Potential-vorticity equation
{synonym}

A <potential vorticity> budget has the form
$$
\frac{Dq}{Dt}=S_q.
$$
The <material derivative> follows the fluid motion and $S_q$ collects forcing or dissipation. With $S_q=0$ it becomes <potential-vorticity conservation>. For a <quasi-geostrophic streamfunction>, horizontal advection is $J(\psi,q)=\psi_xq_y-\psi_yq_x$.

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