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Which quantity is conserved following the geostrophic flow in the QG system?

  • A.Potential temperature
  • B.The geopotential height of the pressure surface on which the parcel happens to be travelling
  • C.Quasi-geostrophic potential vorticity
  • D.Absolute vorticity, which is conserved only for barotropic flow without any divergence at all

Answer: C

The whole system reduces to the statement that quasi-geostrophic potential vorticity is advected by the geostrophic wind, with everything else recoverable by inversion. That single prognostic equation replaces the momentum, continuity and thermodynamic equations. Absolute vorticity conservation requires far more restrictive conditions, and potential temperature is conserved for adiabatic motion in the full system rather than being the QG invariant.

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