Forward-difference
From Atomix
For the forward-difference scheme
- start with n being the lowest number bin of the range over which the structure function is to be evaluated (number of bins in range must exceed nmax
- start with = 1
- compute the second order structure function D(n,) as the segment mean of the square of the velocity difference between the bin n and bin n + :
D(n, ) = [v’(n, t) - v’(n+, t)]2
where the angled brackets indicate the mean across all t for the data segment yielding a velocity difference after the application of the Level 1 QC criteria - increment and repeat steps until = nmax or n + exceeds the last bin of the range over which the structure function is to be evaluated
- increment n and repeat steps until n + 1 is the last bin of the range over which the structure function is to be evaluated
