# vorticity magnitude

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 July 23, 2012, 10:31 vorticity magnitude #1 New Member   mantec Join Date: Jun 2012 Posts: 6 Rep Power: 7 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.

July 23, 2012, 12:49
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Filippo Maria Denaro
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Quote:
 Originally Posted by mantec 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 ...

 July 24, 2012, 12:25 #3 New Member   mantec Join Date: Jun 2012 Posts: 6 Rep Power: 7 So, what is the multiplication of the two vector(or tensor) field.

 July 24, 2012, 12:56 #4 Senior Member   Join Date: Jul 2009 Posts: 247 Rep Power: 12 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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