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Astron. Astrophys. 339, 638-642 (1998)

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General relativistic hydrodynamics with special relativistic Riemann solvers

José A. Pons 1, José A. Font 2, José Ma. Ibáñez 1, José Ma. Martí 1 and Juan A. Miralles 1

1 Departament d'Astronomia i Astrofísica, Universitat de València, E-46100 Burjassot (València), Spain
2 Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut Schlaatzweg 1, D-14473 Potsdam, Germany

Received 25 May 1998 / Accepted 16 July 1998

Abstract

We present a general and practical procedure to solve the general relativistic hydrodynamic equations by using any of the special relativistic Riemann solvers recently developed for describing the evolution of special relativistic flows. Our proposal relies on a local change of coordinates in terms of which the spacetime metric is locally Minkowskian and permits accurate numerical calculations of general relativistic hydrodynamics problems using the numerical tools developed for the special relativistic case with negligible computational cost. The feasibility of the method has been confirmed by a number of numerical experiments.

Key words: hydrodynamics – methods: numerical – relativity – accretion, accretion disks

Send offprint requests to: Jose A. Pons
Correspondence to: Jose.A.Pons@uv.es

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© European Southern Observatory (ESO) 1998

Online publication: October 21, 1998
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