Vorticity magnitude
Please could someone tell me how to calculate the vorticity magnitude.
Thanks 
Re: Vorticity magnitude
Compute the curl of velocity and take the magnitude of the vector.

Re: Vorticity magnitude
wx = dw/dy  dv/dz wy = du/dz  dw/dx wz = dv/dx  du/dy
w = wx(i) + wy(j) + wz(k) vorticity magnitude = sqrt(w.w) = sqrt( wx*wx +wy*wy +wz*wz) 
Re: Vorticity magnitude
Could this function be defined into any cfd post.

or with vorticity tensor
w=wij
where wij is the vorticity tensor defined as the antysymmetric part of the velocity gradient tensor. Its magnitude defined by: wij=sqrt(2wij*wij) and its the same as the magnitude of the vorticity vector as defined earlier. 
Quote:
Hi, If I define a antisymmetric matrix as: 0 x y x 0 z = A y z 0 which is similar to Vorticity tensor, but when I calculate A*A, I got 2*x^22*y^22*z^2 which is negative and has problem under square root. Could you please tell what causes this problem. Thank you very much. 
Quote:
I do not understand what you did ... if you want to define a measure for a matrix, you should define some norm on that A, this is not so simple. You can define an induced norm by using a (non vanishing) vector x such that A.x/x 
Quote:
Thank you for your reply, Now I know what is the norm of a matrix, then I still have a question: What is the magnitude of vorticity, seems like it is not equal to the norm of vorticity tensor. thanks again. 
Quote:
Indeed the vorticity vector must be extractet from the antisymmetric matrix.. 
All times are GMT 4. The time now is 03:05. 