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On some integral‐consistent methods for calculating magnetohydrodynamic phenomena in problems of computational astrophysics
Author(s) -
Poveshchenko Yury,
Podryga Viktoriia,
Rahimly Orkhan
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6349
Subject(s) - magnetohydrodynamic drive , magnetohydrodynamics , kinetic energy , representation (politics) , classical mechanics , gravitation , physics , work (physics) , statistical physics , mathematics , magnetic field , theoretical physics , quantum mechanics , politics , political science , law
When constructing difference schemes for calculating complex problems of computational astrophysics considering magnetohydrodynamic and gravitational phenomena, the processes of matter overcompression (with a change in density by several orders of magnitude) should be taken into account, and it is important at a discrete level to take into account the corresponding energy transformations of magnetohydrodynamic, gravitational, kinetic, and internal energy during the evolution of a star. This problem is solved by constructing completely conservative difference schemes in a view of these magnetohydrodynamic processes and self‐gravitating phenomena. In this work, to study and apply the difference methods for solving problems of magnetic gas dynamics, a discrete representation of symmetrized spatial deformations of the medium was obtained. The representation is consistent with changes in the magnetic, kinetic, and internal energies and does not lead to their distortions when the matter is overcompressed.