|Numerical Approximation of MHD Equations for Real Gases
|444, 5th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2010)
|Serna, S.; Marquina, A.
|We consider the MHD equations for real gases described by a Van der Waals equation of state. We present an explicit
calculation of the spectral decomposition of the Jacobian of the fluxes and
we propose a characteristic-based upwind numerical scheme to approximate
the solution of the system of equations in the one dimensional case.
We show a numerical example where we observe
wave dynamics significantly stronger than the one obtained for the ideal MHD case.