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Riemann solver for relativistic hydrodynamics. (English) Zbl 0810.76062
Summary: We construct an efficient, accurate, and rugged Riemann solver for relativistic hydrodynamics. The algorithm is an extension of the two- shock approximation of Colella to the relativistic regime. The Riemann solver constructed here converges to the solution via iterations. Two different iterative techniques are presented, one based on a secant method and the other on a Newton method. The method presented here provides an exact treatment of the transverse velocities across general, oblique shocks. We also show the equivalence of our new formulation to the previous ones in the non-relativistic limit.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
76L05 Shock waves and blast waves in fluid mechanics
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[1] D. Balsara, in preparation.
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