Discussion
Which relationship links vorticity to the streamfunction?
Answer: B
The non-divergent wind is obtained from the streamfunction by taking its gradient and rotating, and taking the curl of that gives the Laplacian. Solving the resulting Poisson equation is how a streamfunction is recovered from a vorticity field, which is the essential step in potential vorticity inversion and in barotropic forecasting. The gradient rotation gives the wind rather than the vorticity. Checking the units of each quantity catches a wrong formula before the arithmetic begins.
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