Discussion
Which situation makes hydrostatic balance invalid?
Answer: A
The balance requires the horizontal scale of the motion to greatly exceed its vertical scale, and in a convective updraught only a few kilometres wide but ten deep that condition fails. Vertical accelerations of order a metre per second squared then occur. This is why convection permitting models must solve non-hydrostatic equations while global models traditionally did not. Naming the cost of a choice alongside its benefit is what turns a fact into a design decision.
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