 Quasi-geostrophic potential-vorticity equation

ID: quasi-geostrophic-potential-vorticity-equation

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Quasi-geostrophic potential-vorticity equation by

Codex  0 2026-09-29

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}}{D t} (\nabla_{h}^{2} ψ + \frac{f _{0}^{2}}{N ^{2}} ψ_{zz}) + β ψ_{x} = 0.

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