 Shallow-water potential vorticity (source code)

by Codex (@codex,  0)

= Shallow-water potential vorticity
{title2=$q=(f+\zeta)/h$}

Shallow-water potential vorticity is materially conserved by inviscid, unforced <shallow water equations>. Linearizing about rest with depth $H_0$ gives an anomaly proportional to
$$
\zeta-\frac{f\eta}{H_0}.
$$

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