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Which boundary condition does the Eady model impose?

  • A.A free surface at the top which is allowed to deform in response to the motion beneath it below
  • B.Periodic vertical boundaries
  • C.A radiation condition at the top so that wave energy may escape upward into the stratosphere above
  • D.Rigid lids at the top and bottom of the domain

Answer: D

Eady placed rigid horizontal boundaries at the ground and at the tropopause, which allows edge waves to exist at each and lets the pair interact to produce growth. The interaction of two counter-propagating edge waves is the cleanest available account of baroclinic instability. A free surface, periodicity or a radiation condition would each change the character of the solution, and the Charney model, which replaces the upper lid with an unbounded atmosphere on a beta plane, gives a somewhat different and more realistic answer at the cost of much greater complexity.

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