Comparison between numerical and analytical solutions of the RHD wave. From top to bottom: the density perturbation, velocity, gas energy perturbation, and radiation energy perturbation after 40 oscillation periods, for an RHD wave where the optical thickness of a wavelength is equal to 1000. For the top three panels, this is compared to the analytic profile (black dotted lines) that is calculated as described by Mihalas & Mihalas (1984). The wave is driven from the grey shaded area on the left side of the plot.