General Relativistic Hydrodynamics with Special Relativistic Riemann Solvers
Astrophysics
2007-05-23 v1 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.astro-ph/9807215,
title = {General Relativistic Hydrodynamics with Special Relativistic Riemann Solvers},
author = {Jose A. Pons and Jose A. Font and Jose M. Ibanez and Jose M. Marti and Juan A. Miralles},
journal= {arXiv preprint arXiv:astro-ph/9807215},
year = {2007}
}
Comments
12 pages, 2 figures, accepted for publication in Astronomy and Astrophysics