Heating rate as a function of time for models s11, s12, s13, s14, and s15. The blue curves indicate the results from simulations with our gray scheme, the green curves show the results from simulations using the neutrino transport of Foucart et al. (201 ), and the red curves correspond to the results from simulations with energy-dependent neutrino transport. Each row correspond to one model; the model names are shown in the bottom left corner of each panel.