A Roe-type Riemann solver based on the spectral decomposition of the equations of Relativistic Magnetohydrodynamics

2010/12/11 by Ibáñez, J. M., Aloy, M. A., Mimica, P. +3
#FOS: Physical sciences #High Energy Astrophysical Phenomena (astro-ph.HE) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1012.2472

Abstract

In a recent paper (Antón et al. 2010) we have derived sets of right and left eigenvectors of the Jacobians of the relativistic MHD equations, which are regular and span a complete basis in any physical state including degenerate ones. We present a summary of the main steps followed in the above derivation and the numerical experiments carried out with the linearized (Roe-type) Riemann solver we have developed, and some note on the (non-)convex character of the relativistic MHD equations.

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