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Fig. 6

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Comparison of the corrected expansion velocity of the ionization fronts (blue line) with the uncorrected one (red line) in units of the speed of light. The correction is necessary, because the explicitly time dependent term appearing in the equation of radiative transfer is not considered in our simulations. As a consequence the ionization fronts can in an artificial way propagate faster than the speed of light (cf. Sect. 3.2). These quasi-super-luminous expansions of the ionization fronts are avoided by delaying to the correct time step the computation of the radiative transfer for cells that can not in physical reality be reached by light emitted by the source since its appearance. For the setup of the simulation a black-body radiator with an effective temperature of 95 000 K and a radius of 9 solar radii embedded in a pure hydrogen gas with a particle density of n = 10-4 cm-3 and a temperature of 10 000 K has been assumed.

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