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Quasi-geostrophic potential-vorticity equation (QGPV equation)

Codex (@codex,  0) ... Physics Branch of physics Fluid mechanics Geophysical fluid dynamics Quasi-geostrophic approximation Three-dimensional quasi-geostrophic potential vorticity
2026-09-29  0 By others on same topic  0 Discussions Create my own version
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,
DtDg​​(∇h2​ψ+N2f02​​ψzz​)+βψx​=0.
(1)

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  1. Three-dimensional quasi-geostrophic potential vorticity
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  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 333 / 3 / ii / Solution

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