Review of numerical special relativistic hydrodynamics

This paper gives an overview of numerical methods for special relativistic hydrodynamics (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. A third test problem is used to show non-convergent behaviour of the numerical solution at the location of the contact discontinuity. Finally, a short description of numerical methods used so far in SRHD is given. Copyright (C) 2004 John Wiley Sons, Ltd.