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 mantec July 23, 2012 10:31

vorticity magnitude

How to calculate the vorticity magnitude (S) in two dimensions

say

Sij = (du/dy-dv/dx)

S = sqrt(Sij.Sij)

what is the resultant of Sij.Sij (multiplication of two tensors)

could anybody help with this.

 FMDenaro July 23, 2012 12:49

Quote:
 Originally Posted by mantec (Post 373012) How to calculate the vorticity magnitude (S) in two dimensions say Sij = (du/dy-dv/dx) S = sqrt(Sij.Sij) what is the resultant of Sij.Sij (multiplication of two tensors) could anybody help with this.

the vorticity is a vector field, not a tensor field, also in 3D ...

 mantec July 24, 2012 12:25

So, what is the multiplication of the two vector(or tensor) field.

 agd July 24, 2012 12:56

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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