Jm. Marti et E. Muller, EXTENSION OF THE PIECEWISE PARABOLIC METHOD TO ONE-DIMENSIONAL RELATIVISTIC HYDRODYNAMICS, Journal of computational physics, 123(1), 1996, pp. 1-14
An extension to 1D relativistic hydrodynamics of the piecewise parabol
ic method (PPM) of Colella and Woodward using an exact relativistic Ri
emann solver is presented. Results of several tests involving ultrarel
ativistic flows, strong shocks and interacting discontinuities are sho
wn. A comparison with Godunov's method demonstrates that the main feat
ures of PPM are retained in our relativistic version. (C) 1996 Academi
c Press, Inc.