Module: Volume Integrals ()

Description:

This module performs calculation of integrals or sums on a 3d unstructured grid or on a region or a set of regions of it. The computation might involve scalar or vector fields.

The results of the computation are written in a spreadsheet.

Press the Apply button to start the computation.

Connections:

Data [required]
A 3D Unstructured Model, or
an unstructured Unstructured Model Field scalar or vector field.

Density field [optional]
A 3D unstructured Unstructured Model Field scalar field containing density values.
This port is only displayed when density is required for the selected computation, for example mass weighted integral. If one and only one density field is found, it is suggested by default.

Ports:

Volume integral

When the data is an unstrutured model, the only computation available is the volume:

where is the number of cells and is the volume of cell c.

Field integral

When the data is a field (scalars or vectors), these quantities can be computed:

• volume integral
  
  

  where is the value of at cell c.

• volume-weighted average
  
  
• mass-weighted integral
  
  

  where is the density.

• mass-weighted average
  
  
• minimum
• maximum
• sum
  
  
• mean
  
  
• standard deviation
  
  

  where is the mean value of .

If the field is a vector field, the results will be given component per component, except for the minimum and maximum that will be equal to the vector's magnitude scalar field minimum and maximum.
If data is bound per node, an interpolation is performed to get the values at cell centers.

Spreadsheet

The computation results are written into a spreadsheet. Choose append table to append to the current table, or new table to open a new table.

Table

If the box is checked, a new table will be opened every time the integral type changes. The new tables will be named after the integral names.

Compute

Choose globally to get one result corresponding to the volume composed of all the selected regions. Choose per region to compute the result on each selected region.

Regions Filter

Select the grid regions where the computation has to be done.