Radial mid-plane temperature profile in the simulation with PLUTO (red line), RH2D (black line) and NIRVANA (blue line) in the quasi-equilibrium state after a) for γ = 5/3 without convection and b) in the strongly convective case with γ = 1.1 . We added the results of a simulation performed with PLUTO where we used a logarithmic grid in r-direction (green line).