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KIAM Preprint № 12, Moscow, 2025
Authors: Urvachev E.M., Bay A.A.
Suppression of grid perturbations in the simulation of radiation transfer in the M1-approximation
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
Publication language: russian,  pages: 29
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Urvachev Egor Mikhailovich,  urvachevyegor@gmail.comorcid.org/0000-0002-1287-8940Sadovsky Institute of Geosphere Dynamics, Russian Academy of Sciences
  • Bay Anton Alekseevich,  bay.aa@phystech.eduorcid.org/0000-0002-0007-6246KIAM RAS