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Which form of the equations is used in operational global forecast models?

  • A.The fully compressible Navier Stokes equations with no approximation of any kind applied to them
  • B.The primitive equations
  • C.The quasi-geostrophic equations, which filter gravity waves and retain only the balanced motion
  • D.The barotropic vorticity equation

Answer: B

Operational models integrate the primitive equations, being the full set with hydrostatic, shallow atmosphere and traditional approximations applied, though the most recent convection permitting models are non-hydrostatic. Quasi-geostrophic and barotropic systems were used in the earliest numerical forecasts and remain valuable for understanding. Fully unapproximated equations are used only in research at very small scales. A single measurement chosen to respond to the one asymmetry beats several that respond to shared behaviour.

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