Mass Averaged

The mass averaged scalar quantity is computed over a volume as:

Figure 1. EQUATION_DISPLAY
MassAverageVρϕdVVρdV=cρcϕcVccρcVc
(389)

where ϕc is the cell value of the selected scalar, ρc is the cell density and Vc is the cell volume.

The mass average over parcels in a Lagrangian phase is computed as:

Figure 2. EQUATION_DISPLAY
MassAverageVρϕdVVρdV=πϕpmpnππmpnπ
(390)

where mp is the mass of a single particle represented by a parcel and mpnπ is the mass of the parcel.

See also the properties of this statistical report.

Mass Averaged in Harmonic Balance

When the Harmonic Balance model is selected, the mass averaged scalar quantity over a volume is computed as:

Figure 3. EQUATION_DISPLAY
R = c M ^ 0 c ϕ ˜ c c M ^ 0 c
(391)

where:

  • M ^ 0 c = ρ ^ 0 c V ^ 0 c is the time-mean mass at cell c .
  • ρ ^ 0 c is the time-mean density at cell c .
  • V ^ 0 c is the time-mean cell volume of cell c .
  • ϕ ˜ c = C ϕ c * is the time-mean scalar at cell c for the Volume Mesh Representation and the specific variant of the scalar requested by the HB Solution View for HB Solution View Representation (for example, Scalar at a specific time instant or Fourier Mode 2 Phase of Scalar).