Discussion
Which form does the continuity equation take in pressure coordinates?
Answer: C
In pressure coordinates continuity becomes a purely diagnostic relation with no density and no time derivative, stating that the three-dimensional divergence vanishes. This is one of the chief practical advantages of the coordinate, because it makes omega directly computable by integrating the horizontal divergence in the vertical. The other options give the height coordinate form, a general statement of mass conservation, and the surface pressure tendency equation respectively.
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