Resolution study for run 69. Panels a) and c) show the temperature and entropy, respectively, of the cell at the centre of the system as a function of density using 256, 512, 1024, 2048, 4096, and 8192 cells (see legend). In panel a), the thin solid lines are for simulations with the standard timestep calculation based on relative variations of primary variables from one time step to the next, while the thick dashed lines are for the re-runs when the values of dt are enforced according to the central gas density (see text). Panel b) shows the central temperature as a function of time. Panels d) and f) show profiles of the gas density and velocity, respectively, as a function of radius, at the end of the simulations. Panel e) shows the integration timesteps in the different simulations as a function of central density. The thick grey dashed line represents the forced values of dt we have chosen for our temporal resolution re-runs (see text).