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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2025 Volume 37, Number 6, Pages 166–184 (Mi mm4655)

Suppression of grid perturbations in the simulation of symmetric radiation-hydrodynamic flows

E. M. Urvachevab

a National Research Centre “Kurchatov Institute”
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Abstract: The paper investigates the effect of numerical perturbations arising in the simulation of symmetric radiation-hydrodynamics flows on rectangular grids. Methods for stabilizing the numerical solution are described. For the problem of dense shell dynamics in supernovae and their remnants, a combined reconstruction procedure is proposed, which significantly suppresses the influence of grid perturbations on the symmetry of the solution.

Keywords: numerical simulation, radiation hydrodynamics, supernovae.

Received: 06.06.2025
Revised: 06.06.2025
Accepted: 08.09.2025

DOI: 10.20948/mm-2025-06-11



© Steklov Math. Inst. of RAS, 2026