Comparison between determination of satellite (bound) gas content and satellite inflows mass rate using both particle and grid approaches, plotted as blue and orange lines, respectively. Both approaches are described in Section 2.4 and Appendix A. The evolution of the properties for the same satellite identified across the different CosmoRun models is shown. Top: Trajectory in ${\mathrm{R}}_{\mathrm{vir}}^{\mathrm{host}}$ units. Center: Evolution of total and bound gas mass for the satellite, comparing bound gas content determined using both particle and grid approaches. Bottom: Evolution of the satellite's inflow mass rate, determined using both particle and grid approaches.