Simulation of radiative heat transfer in supersonic plasma flows taking into account the doppler shift of lines

A version of the Lebesgue averaging method of the radiative transfer equation over the photon energy is presented, taking into account the directional Doppler shift of the lines. The method is designed to simulate heat transfer by radiation in supersonic plasma flows with extremely high velocity and temperature gradients. In order to assess the influence of the Doppler effect on heat transfer, calculations of model test problems were carried out.