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Which balance is assumed in potential vorticity inversion?

  • A.Hydrostatic balance alone, since that is the only relation needed to recover the mass field completely
  • B.No balance is needed
  • C.Cyclostrophic balance, which is the appropriate assumption for the strongly curved flow near a vortex
  • D.A balance condition such as geostrophic or gradient wind

Answer: D

Inverting a potential vorticity distribution to recover the wind and mass fields requires a balance condition, because potential vorticity alone does not determine the division between balanced and unbalanced motion. Geostrophic, gradient wind or nonlinear balance may be used depending on the accuracy required. Hydrostatic balance is necessary but far from sufficient, and cyclostrophic balance is inappropriate at synoptic scales. Most errors here come from carrying a result across from a neighbouring case where it does not hold.

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