We extend some recent shock capturing methods designed to solve nonlinear hyperbolic systems of conservation laws and which avoid the use of artificial viscosity for treating strong discontinuities to a relativistic hydrodynamics system of equations. Some standard shock-tube problems and radial accretion onto a Schwarzschild black hole are used to calibrate our code.

• Received 9 August 1990

DOI:https://doi.org/10.1103/PhysRevD.43.3794