Initial Conditions
Much of my college coursework and early energy work involved computer modeling.
Weather is an energy-balance type problem with a computer making an analogy to a cube determining energy (and humidity) flows in and out, but one must really be aware of initial conditions in order to get accurate results. Computers have become more accurate over the years by increasing the number of boxes they can calculate, and with improved measurement of initial conditions.
But regardless, if the model does not closely resemble reality, there are factors which are not modeled - or not properly modeled in the equations. We need human interpretation to understand how new factors will influence the energy flows in and out of the imaginary boxes the computer is analyzing.
These factors are always changing and new factors being understood, such as the ocean waves can create ozone, global warming increases evaporation, water vapor rising higher in the atmosphere is assist the chloride based chemistries from air conditioning processes more quickly destroy ozone. Without accurate determinations of the volume and sources of each pollutant, natural element and other factors, the more complex the models, the more difficult it is to make the models match reality.
Assuming we could identify each element in its appropriate quantities, and speed up the calculations - such as with analog computing, there is no doubt models could become more accurate with little human tweaking.