Suppression of grid perturbations in the simulation of radiation transfer in the M1-approximation

The paper investigates the effect of numerical perturbations arising in the modeling of symmetric radiation transfer problems on rectangular grids. A series of two-dimensional test problems with different systems of hyperbolic equations are considered, including the shallow water theory and radiation transfer in the M1-approximation. Methods for stabilizing the numerical solution are described. Issues related to the choice of reconstruction methods for radiation-hydrodynamics problems are discussed.