Time evolution of the stratified ICM atmosphere during the simulation with the local HSE BC of Zingale et al. (2002). Shown are the density ρ₀ (in g/cm³, left); temperature T₀ (in keV, centre); and entropy S₀ (right) profiles. In dashed lines: Initial profiles. In plain lines: Same profiles but displayed at various times. This figure should be compared to Fig. 1, which was obtained with the BCs described in Sect. 3.3.