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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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