Total envelope mass within the Hill-radius as a function of time, immediately after the potential ramp-up time of two orbits, plotted against the numerical resolution of the envelope. We show the runs with cells per Hill-radius N_c ∈ {25, 35, 50, 65, 100} and smoothing length for a constant opacity of κ = 0.01cm² g⁻¹. Under-resolving the Hill-radius leads to a gradual decrease in the measured accretion rate, which results in the envelope as a whole achieving a dynamic steady state. Increasing the resolution step by step we find numerical convergence of accretion rates and a less pronounced drop in accretion rates over time. We note that our highest resolution (N_c = 100) drops slightly in accretion rate compared to the case with N_c = 65.