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

arxiv: 1012.2472 · v1 · pith:UVKABCQ3new · submitted 2010-12-11 · 🌌 astro-ph.HE · math-ph· math.MP

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

J. M. Ib\'a\~nez (1) , M. A. Aloy (1) , P. Mimica (1) , L. Ant\'on (1) , J. A. Miralles (2) , J. M. Mart\'i (1) ((1) Department of Astronomy , Astrophysics , University of Valencia

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(2) Department of Applied Physics University of Alicante)

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keywords equationsrelativisticriemannroe-typesolverabovebasiscarried

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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.

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

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