The exact solution of the Riemann problem with non-zero tangential velocities in relativistic hydrodynamics

Details The exact solution of the Riemann problem with non-zero tangential velocities in relativistic hydrodynamics The exact solution of the Riemann problem with non-zero tangential velocities in relativistic hydrodynamics

2000-05-02

arxiv.org/abs/astro-ph/0005038v1

J.Fluid Mech. 422 (2000) 125

Astronomy and Astrophysics

Astrophysics

26 pages, 4 figures. Accepted for publication in Journal of Fluid Mechanics

Scientific paper

We have generalised the exact solution of the Riemann problem in special relativistic hydrodynamics for arbitrary tangential flow velocities. The solution is obtained by solving the jump conditions across shocks plus an ordinary differential equation arising from the self-similarity condition along rarefaction waves, in a similar way as in purely normal flow. The dependence of the solution on the tangential velocities is analysed, and the impact of this result on the development of multidimensional relativistic hydrodynamic codes (of Godunov type) is discussed.

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