This paper gives an overview of numerical methods for special relativistichydrodynamics (SRHD). First, a short summary of special relativity is given. Next, the SRHD equations are introduced. The exact solution for the SRHD Riemann problem is described. This solution is used in a Godunov scheme to compute solutions for two test problems. Finally, a short description is given of numerical methods used so far in SRHD.

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. (2002). Review of numerical special relativistic hydrodynamics. Modelling, Analysis and Simulation [MAS]. CWI.