Abstract
In recent years many numerical schemes — mainly based on approximate Riemann solvers — for the equations of ideal magnetohydrodynamics (MHD) have been developed; their robustness and efficiency have been shown in many examples. But since the underlying equation of state (EOS) of an ideal gas is far from reality in many applications (e.g. solar physics), these numerical schemes have to be extended to cope with a more general EOS. For the Euler equations of gas dynamics two general approaches for this extension have recently been proposed. We will show that they can also be applied to MHD. Furthermore we will validate the resulting schemes and will discuss some important aspects of their behaviour.
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Dedner, A., Wesenberg, M. (2001). Numerical Methods for the Real Gas MHD Equations. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 140. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8370-2_30
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DOI: https://doi.org/10.1007/978-3-0348-8370-2_30
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