In this paper the quasi-1D special relativistic hydrodynamic equations are numerically solved with a Godunov-type scheme. It was found that when there is a jump in the tangential velocity component at the contact discontinuity an O(1) error arises in the solution. An analysis of this phenomenon is given and possible remedies are proposed and tested.

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CWI
Modelling, Analysis and Simulation [MAS]
Scientific Computing

van Odyck, D.E.A. (2003). Error reduction at the contact discontinuity in numerical special relativistic hydrodynamics. Modelling, Analysis and Simulation [MAS]. CWI.