Does the model redistribute the humidity when it makes the adjustment to
maintain hydrostatic balance?
As soon as a global climate model readjusts a vertical column to unphysically alter the large scale solution in order to
maintain hydrostatic balance (overturning due to unrealistic heating parameterizations necessitate this adjustment), there is no mathematical theory that can justify the nature of the ensuing numerical solution.
In order to
maintain hydrostatic balance the necessary kinetic energy can not be radiated away to space hence that «additional» energy must be held at the surface over and above that which is required (by the surface and atmosphere combined) solely to radiate enough energy to space to match energy being received from space.
Not exact matches
So, we are now ready to pull all that together in order to show how a planetary atmosphere uses convective overturning to neutralise the effect of radiatively active materials of any type so that
hydrostatic balance can be
maintained whatever fate throws at it.