I am agree by Filippo Maria Denaro and Tapan K. Sengupta : To process the vorticity from time estimations of the speed segments in a solitary point. We need a few stations along frame work to gauge the derivatives of the speed .

In a flow field, vorticity is related to fluid particle velocity which is defined as twice of rotation vector i.e. Thus, the curl of the velocity vector is equal to the vorticity. ... If at every point in the flow, the flow is called as rotational. It implies that the fluid elements have a finite angular velocity. The vorticity vector would be twice the mean angular velocity vector of those particles relative to their center of mass, oriented according to the right-hand rule. ... More precisely, the vorticity is a pseudovector field ω→, defined as the curl (rotational) of the flow velocity u→ vector.

The following attach file may help

There is nothing you can do to compute the vorticity from time measurements of the velocity components in a single point. You need several stations along x,y,z to measure the derivatives of the velocity

I am agree by Filippo Maria Denaro and Tapan K. Sengupta : To process the vorticity from time estimations of the speed segments in a solitary point. We need a few stations along frame work to gauge the derivatives of the speed .

Measuring the velocity components at 5 positions or stations and calculate the velocity gradient at each station and by using the relation the curl of the velocity vector the vorticity can be obtained.

the method i used to compute derivative and vorticity is the use of finite element bases. the derivative or the vorticity is calculated in the distribution and integral way.