Upwind monotonic interpolation methods for the solution of the time dependent radiative transfer equation
The paper deals with numerical finite difference schemes for the solution of the radiative transfer equations with steep features (such as ionization fronts). An operator-split explicit-implicit scheme is described in which the advection term in the transfer equation is solved explicitly while the spatially stiff material-radiation terms are treated implicitly. Also an implicit method is presented using the accurate estimate of the time averaged fluxes. These methods are shown to provide a small enough numerical diffusion of steep features.
scientific article; zbMATH DE number 69671