Dusty Sedov-Taylor blast wave for a dust and gas mixture in two regimes, K=0 (left) and K=10⁶ (right). The radial density profiles are shown as blue dots for gas and red dots for dust, and the self-similar solution at t=t_f is plotted as a continuous black line. The simulation correctly keeps dust at rest while the gas evolves following the self-similar solution, for uncoupled dust. For strongly coupled gas and dust, the mixture follows the self-similar solution evaluated at a previous time, consistent with the modified sound speed in Eq. (86), shown as a dashed black line.