vorticity magnitude
How to calculate the vorticity magnitude (S) in two dimensions
say Sij = (du/dydv/dx) S = sqrt(Sij.Sij) what is the resultant of Sij.Sij (multiplication of two tensors) could anybody help with this. 
Quote:
the vorticity is a vector field, not a tensor field, also in 3D ... 
So, what is the multiplication of the two vector(or tensor) field.

The vorticity is just a vector. So take the magnitude of the vector. If you are talking about a 2D flow, then the vorticity vector has one nonzero component, and the magnitude is simply the absolute value of that component. I'm not sure I'm understanding the original question here...

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