Spherically averaged profiles at the end of the simulation for the resolution N_r = 128. In each panel, the black lines are the initial profiles, the blue lines were computed with the standard scheme and the red lines with the well-balanced scheme. Left panel: density (solid lines) and pressure (dashed lines) profiles. Right panel: temperature (solid lines) and specific entropy (dashed lines) profiles. Note that the initial profiles are nearly indistinguishable from the well-balanced profiles at final time.