**process momentum#

Description#

This post calculation is used to find then \(n\)-th order moment of specified variables over a group of elements (elset) at each solution time. The moment of order \(n>1\) of \(x\) is defined as:

\[\sigma_n(x) = \left( \frac{1}{V}\int_V \left(x-\bar x\right)^n dV \right)^{1/n}\]

Syntax#

**process momentum \(~\,\) *order n \(~\,\) *list_var name1 … nameN [ *give_data ]

*order n

is the order (integer value)

*list_var name1, … nameN

are scalar variable names to treat.

*give_data

outputs computed values to the results database (for visualisation).

Note

If the order \(n=1\), the average is computed. If \(n>1\), both average and momentum of order n are computed.

Example#

**process  momentum
  *order 2
  *list_var sig11 epcum sigmises

**process average#

Description#

This post computation calculates the spatial average of variables specified over a group of elements (elset) for each solution step. The average of \(x\) is defined as:

\[\bar x = \frac{1}{V}\int_V x dV\]

Syntax#

**process average \(~\,\) *list_var name1 … nameN

name1, … nameN are scalar values to be averaged.

Example#

**process average
 *list_var sig11 epcum sigmises