Emergent stellar flux (left column), mean stratification of temperature (middle), and RMS vertical velocity (right) averaged over planes of constant geometrical height for the simulations of the G2V star. Left column: the horizontal dashed grey line shows the targeted stellar flux (effective temperature, see Table 1). The horizontal axis shows the ratio of the time and the Kelvin-Helmholtz time scale. The coloured dots sample 50 snapshots of the time-series used in the results in the present paper. The corresponding embedded panels show the flux evolution for this time-series. Middle column: the temperature versus the logarithm pressure is shown at different times (with the same colours as the dots in the panels at the left column). Right column: the RMS vertical velocity versus the logarithm pressure is shown at different times (with the same colours as the dots in the panels at the left column). The top row corresponds to the simulation computed with grey opacity; the middle row, with 4OB; and the bottom row, with 18OB.