What I want
____________
Circulation = path integral of the velocity around the boundary of surface --> (Stoke's Theorem)--> Circulation= surface integral of curl of the velocity field over the surface
What I have
____________
* A number of N points defined by their coordinates (x, y,z). These points are on the surface (not the contour of the surface)
* velocity field components u,v,w for these points
* Form (visually observable) of the surface. Is not rectangular. It is more like a circumference.
(I'm using Matlab)
Thanks in advance.
Thanks Behnam and Mohamed, I' m still trying to obtain good results.
For the moment I've used curl function (MATLAB), but my mesh is not rectangular (I've tried to "transform" it into a rectangular mesh, but results are not good for the moment).
I think I don't need to obtain a multidimensional interpolating function, but probably I'll have to interpolate the data of my N points to obtain a refined mesh if I want to use curl function. However, I suspect large errors could be introduced, as Behnam says.
Keep working.
Best,
Lydia
OpenPIV Spatial Toolbox does vorticity from PIV maps, the equations are visible in the code itself. Disclaimer - I'm one of the developers.
http://www.openpiv.net/openpiv-spatial-analysis-toolbox/
PIVMAT also has this option, http://www.fast.u-psud.fr/pivmat/
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