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Old   July 23, 2012, 10:31
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mantec
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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.
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Old   July 23, 2012, 12:49
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Filippo Maria Denaro
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Quote:
Originally Posted by mantec View Post
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 ...
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Old   July 24, 2012, 12:25
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So, what is the multiplication of the two vector(or tensor) field.
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Old   July 24, 2012, 12:56
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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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