Schuster–Schwarzschild model for cylindrically symmetric flows of the radiating gas

The paper presents an algorithm for calculating radiative heat transfer in an emitting and absorbing gas based on the Schuster–Schwarzschild approximation for the case of a cylindrically symmetric flow. In this approximation, the radiation energy density is calculated as a quadrature of the absorption coefficient and the emissivity of the plasma. This quadrature is used to calculate the contribution of radiative heat transfer to the energy balance of the gas flow. An algorithm is described for constructing a one-dimensional adaptive difference mesh for the numerical calculation of the radiative energy transfer equation, which makes it possible to obtain a high-precision numerical solution on a mesh of a smaller dimension than the original “gas-dynamic” mesh. On test examples simulating the spatial inhomogeneity of the radiation field, a numerical comparison of the proposed method with some diffusion-type methods on the initial gas-dynamic and adapted computational meshes is carried out.