Correlations between granule brightness and other granule properties. Left panels: correlation between granule brightness, ⟨Î⟩_gr, and average vertical velocity. Right panels: correlation between ⟨Î⟩_gr and standard deviation of normalised intensity σ_gr(Î) as measure for the substructure within the granules. The upper panels show scatter plots for the solar run (G2V) where each black diamond represents a single granule. The red diamonds are binned averages (bin size 0.1 in Î) the error bars show the 1-σ scatter. In the lower panels the binned data are displayed for each of the six simulations.