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A Riemann solver for the two-dimensional MHD equations

✍ Scribed by Necdet Aslan; Terry Kammash

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
212 KB
Volume
25
Category
Article
ISSN
0271-2091

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✦ Synopsis

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 ®x can be embedded directly in the ¯uxes. 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 re¯ected wall. The results show that the method with the new sonic ®x can handle the divergence condition on the magnetic ®eld and produces an almost uniform shock compression in all directions, resolving the shocks and discontinuities rather sharply.

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