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A Riemann solver for the two‐dimensional MHD equations
Author(s) -
Aslan Necdet,
Kammash Terry
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19971030)25:8<953::aid-fld597>3.0.co;2-l
Subject(s) - riemann solver , magnetohydrodynamics , classification of discontinuities , divergence (linguistics) , physics , shock (circulatory) , solver , classical mechanics , shock wave , riemann hypothesis , magnetic field , mathematical analysis , mathematics , mechanics , mathematical optimization , finite volume method , quantum mechanics , medicine , linguistics , philosophy
This paper presents how the equations of magnetohydrodynamics (MHD) in primitive form should be written in conservative form with the inclusion of a divergence source along with a divergence wave and how a physically correct sonic fix can be embedded directly in the fluxes. The numerical scheme was applied to a blast wave problem in which a circular energetic plasma is released in a free and magnetized medium with a reflected wall. The results show that the method with the new sonic fix can handle the divergence condition on the magnetic field and produces an almost uniform shock compression in all directions, resolving the shocks and discontinuities rather sharply. © 1997 John Wiley & Sons, Ltd.