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.

Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (msc 65M60), Shock waves and blast waves (msc 76L05), Compressible fluids and gas dynamics, general (msc 76Nxx), Quantum hydrodynamics and relativistic hydrodynamics (msc 76Y05), Special relativity (msc 83A05), Hydrodynamic and hydromagnetic problems (msc 85A30)
Life Sciences (theme 5), Energy (theme 4)
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.