[ . . . ]
If I understand your response correctly, it is possible to get the vertical velocity using the continuity equation by smoothing 'w' appreciably.
That's not quite what I meant. I meant:
1. Use exactly the same discrete continuity equation that the model uses. Different discretization will often result in large error.
2. If you cannot use the exact discrete continuity equation, then you would need to heavily smooth the w field calculated with an ad-hoc discrete continuity equation.
In case 2, you don't know how much smoothing is appropriate because you don't know the true w field.
I would like to try it out because my earlier attempt without non-smoothing did not yield any reasonable structure for w.
However, I have a question because you say that because your numerical code uses B-grid and the Cartesian coordinates, u[x=@DDC] + v[y=@DDC] is the right calculation.
On the B-grid, both velocity components, u and v, are located at the same gridpoint. So, both central-difference derivatives u[x=@DDC] and v[y
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