Volume Standard Deviation

The standard deviation of a scalar quantity is computed in a volume as:

Figure 1. EQUATION_DISPLAY
S t a n d a r d d e v i a t i o n  of   ϕ = c ( ϕ c ϕ ¯ ) 2 V c c V c
(417)

where ϕ ¯ is the volume average of ϕ , ϕ c is the value of the selected scalar in a cell and V c is the cell volume.

When the input is a Lagrangian phase, the standard deviation is:

S t a n d a r d d e v i a t i o n  of   ϕ = p ( ϕ p ϕ ¯ ) 2 V p p V p
(418)

where ϕ p is the parcel value of the selected scalar and V p is the parcel volume.

Multiple Parts

When you select multiple parts for this report:

  • The average value ϕ ¯ is the collective mean for all the parts—not for each part individually.
  • The Output window reports the standard deviation of ϕ for the volumes of each of the component parts individually, as well as for all parts combined. In all cases, however, the reported values use the collective average of ϕ .

See also the properties of this statistical report.