Table 2:

Overview of runs using the proposed approximate radiation transport module.

Run	G0.1	G100	F100	GD100	FD100
Optical depth	0.1	100	100	100	100
Comparison run	MC0.1-full	MC100-A	MC100-A	MC100-full	MC100-full
Ray-tracing Irradiation	gray	gray	freq. dep.	gray	freq. dep.
Flux Limited Diffusion	no	no	no	yes	yes
Theory Sect.	2.2	2.2	2.2 & 2.3	2.1 & 2.2	2.1 - 2.3
Comparison Sect.	3.3.1	3.3.2	3.3.2	3.3.3	3.3.3 & 3.3.4
Deviation [%]	<+2.0	+10.9 -57.2	+5.0 -0.6	+5.0 -38.4	+9.3 -11.1

Notes. The overview table of the runs discussed contains the corresponding optical depth of the test case and the Monte-Carlo run, which is used for comparison (see also Table 1 and referred theory and comparison Sects.). Furthermore, the applied radiative modules (gray or frequency dependent absorption as well as possible diffusion) of our proposed approximate radiation transport method and the corresponding sections, in which this modules and the final results are discussed, are given. The deviations in the resulting temperature profiles of the approximate radiation transport from the corresponding Monte-Carlo comparison run are shown in the lower row.