For adiabatic motion ( i.e., is
a constant) the density is = P(Cv/Cp). For motions
between layers of constant
q = ( + f) · / p = constant
In the Shallow Water Model, where is a constant
( i.e., incompressible),
the conserved quantity is usually written as:
q ( + f)/(g h) seconds/meter2
example : flow over a mountain
<u> is eastward (westerly) then flow turns towards equator
as it passes mountain, then oscillates around original latitude.
<u> is westward (easterly) then flow turns equatorward
(note flow turning poleward `bucks' the flow causing it to turn
equatorward. System is returned to original latitude after it
passes mountain. No oscillations.