Analytic solutions of the Riemann problem in relativistic hydrodynamics and their numerical applications

Physics – Mathematical Physics

Scientific paper

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XLIX Cracow School of Theoretical Physics, Zakopane, May 31-June 10, 2009

Scientific paper

We present an analytic solution of the Riemann problem for the equations of
relativistic hydrodynamics with the ultra-relativistic equation of state and
non-zero tangential velocities. A 3-dimensional numerical code solving such
equations is described and then tested against the analytic solution.

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