Geodesic
Numerical modeling of three-dimensional non-stationary problems of radiation magnetohydrodynamics
Numerical methods and programming, Tome 25 (2024) no. 4, pp. 378-395.

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This work presents a mathematical model for solving three-dimensional radiation problems of magnetohydrodynamics. An implicit fully conservative difference scheme is used to solve the system of differential equations. Two methods are used to solve the system of difference equations: the method of separate and the method of combined solution of equations, which are split by physical processes. A software implementation of the developed numerical algorithms is carried out, and calculations are performed modeling the compression of plasma by a magnetic field. The time dynamics of the parameters of matter and the magnetic field are studied. During the calculation process, at its various stages, both numerical methods used in the program are involved. The results obtained correspond to the physics of the process.
Keywords: mathematical modeling, implicit fully conservative difference scheme, numerical algorithms, computational experiment, plasma.
Mots-clés : radiation magnetohydrodynamics 
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A. Yu. Krukovskii; Yu. A. Poveschenko; V. O. Podryga; P. I. Rahimli. Numerical modeling of three-dimensional non-stationary problems of radiation magnetohydrodynamics. Numerical methods and programming, Tome 25 (2024) no. 4, pp. 378-395. http://geodesic.mathdoc.fr/item/VMP_2024_25_4_a0/