In Part 1 of this study, a model set exactly preserving the MHD
hyperbolic singularities was considered. By developing the viscosity
admissibility condition, it was
shown that the intermediate shocks are necessary to ensure that the planar
Riemann problem is well-posed. Here in Part 2, the MHD
Rankine–Hugoniot condition
and rarefaction-wave relations are presented in phase space, which allows
construction of analytical solutions of the planar MHD Riemann problem.
In this
process, a viscosity admissibility condition is proposed to determine
physically admissible
shocks. A complete account of MHD Hugoniot loci is given, leading to a
classification of several subproblems in which the solution patterns are
qualitatively same.
Finally, it is shown that the planar MHD Riemann problem is well-posed
using
intermediate shocks that have been considered non-evolutionary.