## 29.6.1 Computing Volume Integrals

Volume

The volume of a surface is computed by summing the volumes of the cells that comprise the zone:

 (29.6-1)

Sum

The sum of a specified field variable in a cell zone is computed by summing the value of the selected variable at each cell in the selected zone:

 (29.6-2)

Volume Integral

A volume integral is computed by summing the product of the cell volume and the selected field variable:

 (29.6-3)

Volume-Weighted Average

The volume-weighted average of a quantity is computed by dividing the summation of the product of the selected field variable and cell volume by the total volume of the cell zone:

 (29.6-4)

Mass-Weighted Integral

The mass-weighted integral is computed by summing the product of density, cell volume, and the selected field variable:

 (29.6-5)

Mass-Weighted Average

The mass-weighted average of a quantity is computed by dividing the summation of the product of density, cell volume, and the selected field variable by the summation of the product of density and cell volume:

 (29.6-6)

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