Numerical Approximation of MHD Equations for Real Gases

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

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.

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