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

E. M. Urvachev, A. A. Bay


Abstract: 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.

Keywords: numerical simulations, radiation transfer, numerical instabilities.