Discussion
Which of the following waves is not filtered by the hydrostatic approximation?
The Rossby wave
The vertically propagating acoustic wave
The high frequency sound wave
The acoustic mode of the vertical column
Answer: B
Rossby waves survive the hydrostatic approximation untouched, since they depend on the horizontal potential vorticity gradient rather than on vertical acceleration. All the acoustic modes involve vertical accelerations and are removed. Filtering the fast acoustic modes while retaining the slow meteorologically important ones is the central purpose of the approximation. Reading the definition literally, rather than recalling a formula, is the reliable route through questions of this shape.
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