6533b833fe1ef96bd129b77b

RESEARCH PRODUCT

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

J. M. IbáñezM. A. AloyPetar MimicaL. AntónJ. A. MirallesJ. M. Martí

subject

High Energy Astrophysical Phenomena (astro-ph.HE)FOS: Physical sciencesMathematical Physics (math-ph)Astrophysics - High Energy Astrophysical PhenomenaMathematical Physics

description

In a recent paper (Ant\'on 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.

https://dx.doi.org/10.48550/arxiv.1012.2472