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Which quantity is the vorticity of the geostrophic wind proportional to?

  • A.The gradient of geopotential, which is what gives the geostrophic wind speed at the level concerned
  • B.The geopotential itself
  • C.The second derivative of geopotential taken along the direction of the flow at the point of interest
  • D.The Laplacian of geopotential

Answer: D

Taking the curl of the geostrophic wind gives the relative vorticity as the Laplacian of geopotential divided by the Coriolis parameter. This is why a sharply curved trough, where the height field is strongly concave, is a vorticity maximum. The relation also underlies potential vorticity inversion, since it is the step that connects a vorticity distribution back to a height field.

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