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The exact solution of the Riemann problem in relativistic magnetohydrodynamics

Published online by Cambridge University Press:  14 August 2006

BRUNO GIACOMAZZO  and
LUCIANO REZZOLLA
BRUNO GIACOMAZZO
Affiliation:
SISSA, International School for Advanced Studies and INFN, Trieste, Italy
LUCIANO REZZOLLA
Affiliation:
SISSA, International School for Advanced Studies and INFN, Trieste, Italy Department of Physics, Louisiana State University, Baton Rouge, LA USA
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Abstract

We discuss the procedure for the exact solution of the Riemann problem in special relativistic magnetohydrodynamics (MHD). We consider both initial states leading to a set of only three waves analogous to the ones in relativistic hydrodynamics, as well as generic initial states leading to the full set of seven MHD waves. Because of its generality, the solution presented here could serve as an important test for those numerical codes solving the MHD equations in relativistic regimes.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 562 , 10 September 2006 , pp. 223 - 259
Copyright
© 2006 Cambridge University Press

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