%INTEGRATION_FLUX_IN%
flux integration of a functional by counting the newly injected MESHFREE points
This integration determines the volume flux
\begin{align} I_\text{Flux,In} \approx \sum_{i \in P_\text{injected}} f_i \cdot \frac{V_i}{\Delta t}\end{align}
where \( P_\text{injected}\) is the set of all
MESHFREE points which are injected in this time step (i.e.
%ind_create% coincides with the current time step number).
For
DROPLETPHASE points the same remarks as for
%INTEGRATION_INT% apply and we obtain
\begin{align} I_\text{Flux,In} \approx \sum_{i \in P_\text{injected}} f_i \cdot \frac{n_iV_i}{\Delta t}\end{align}
where \( n_i\) corresponds to the multiplicity stored in
%ind_mult%.