%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).

DROPLETPHASE

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%.