%SUMMATION_INT%

summation of given function values based on all MESHFREE points with respect to given material flags

Summation of a given functional $ f$ (ExpressionOfIntegrand) with respect to the set $ P$ of all MESHFREE points with given material flags:

\begin{align} I_{\text{Sum}} = \sum_{i \in P} f_i\end{align}

Example:

begin_alias{} "Alias1" = " ... MAT$MaterialTag1$ ... " # definition of Alias1 "Alias2" = " ... MAT$MaterialTag2$ ... " # definition of Alias2 end_alias INTEGRATION($IntInd$) = ( %SUMMATION_INT%, ExpressionOfIntegrand, $MaterialTag1$, $MaterialTag2$ )

DROPLETPHASE

For DROPLETPHASE points, the parcel concept is automatically taken into account, so that

\begin{align} I_{\text{Sum}} = \sum_{i \in P} n_i \cdot f_i\end{align}

where $ n_i$ corresponds to the multiplicity stored in %ind_mult%.