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Which boundary condition does the Eady model impose?

  • A.Rigid lids at the ground and the tropopause
  • B.A free upper surface which deforms in response to the motion of the fluid within the layer beneath it
  • C.Periodic vertical boundaries
  • D.A radiation condition allowing wave energy to escape upward into the stratosphere above the domain

Answer: A

Two rigid horizontal boundaries each support an edge wave, and the interaction of the pair is what produces growth. Instability therefore requires both boundaries in this model. The Charney model replaces the upper lid with an unbounded atmosphere on a beta plane, giving bottom-trapped modes and a somewhat more realistic answer at the cost of considerably greater mathematical complexity. The shared properties explain why these belong to one family, and the differences explain why more than one exists.

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