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docs:utils:l2dist [2010/02/02 07:55]
docs:utils:l2dist [2010/02/02 07:55] (current)
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 +====== L2Dist ======
  
 +compute the L2 Distance between two fields
 +
 +options
 +<​code>​
 +  -sx       ​--shiftx ​                  shift by Lx/2
 +  -sz       ​--shiftz ​                  shift by Lz/2
 +  <​flowfield> ​     (trailing arg 2)    input field #1
 +  <​flowfield> ​     (trailing arg 1)    input field #2
 +</​code>​
 +
 +usage
 +<​code>​
 +L2Dist u.ff v.ff
 +</​code>​
 +
 +returns ​
 +
 +<​latex>​
 + ​\text{L2Norm(u-v)} = \|{\bf u} - {\bf v}\|  = \left(\frac{1}{L_x L_y L_z} \int_{\Omega} \|{\bf u} - {\bf v}|^2\,\, d{\bf x} \right)^{1/​2}
 +</​latex>​
 +
 +Note: the -sx and -sz options apply shifts by Lx/2 and Lz/2 to one of the fields prior to computation of the norm.
 +This is helpful for my research but might not be of interest to others. ​
docs/utils/l2dist.txt ยท Last modified: 2010/02/02 07:55 (external edit)