Discussion
The vertical component of relative vorticity is given by :
Answer: B
The vertical component of relative vorticity is \(Y = \frac{\delta v}{\delta x} - \frac{\delta u}{\delta y}\) (the paper writes the vorticity as Y).
Relative vorticity is the curl of the wind, and its vertical component, usually written \(\zeta\), is
\[ \zeta = \partial v/\partial x - \partial u/\partial y \]
where \(u\) and \(v\) are the eastward and northward wind components. It is positive for anticlockwise rotation in the northern hemisphere.
The sum of \(\partial u/\partial x\) and \(\partial v/\partial y\) is the horizontal divergence, not vorticity. The difference \(\partial u/\partial x - \partial v/\partial y\) is a stretching deformation, and the sum of second derivatives is not a vorticity expression.
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