Resulting midplane temperature distributions (top) and relative differences (bottom) of the disk model with different optical depth τ_V discussed in Sect. 4.1 for the time-dependent (dashed) and stationary (solid) method. In the case of time-dependency, the temporal step width is fixed at 8 s and the number of photon packages per time step is 10⁵. The total number of photon packages used for the stationary simulations is 10⁸.