Subgrid PDF
From CFD-Wiki
(Difference between revisions)
m |
m |
||
| Line 1: | Line 1: | ||
| - | A subgrid [[probability density function]] <math> \bar{P}(\eta) </math> | + | A subgrid [[probability density function]] <math> \bar{P}(\eta) </math> , |
| + | also known as filtered density function (FDF), | ||
is the distribution function of scalar <math> Z </math> at subgrid scales. | is the distribution function of scalar <math> Z </math> at subgrid scales. | ||
Revision as of 12:25, 8 May 2006
A subgrid probability density function 
,
also known as filtered density function (FDF),
is the distribution function of scalar 
at subgrid scales.
The probability of observing values between 
within the filter volume is 
where 
is the Dirac delta function,
is a positive defined filter function
with filter width 
.
The joint subgrid PDF of 
scalars is
where 
is the phase space for the scalar variables
