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General Relativistic Hydrodynamics with Special Relativistic Riemann Solvers

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arxiv astro-ph/9807215 v1 pith:6SZCKKCP submitted 1998-07-21 astro-ph gr-qc

Jose A. Pons , Jose A. Font , Jose M. Ibanez , Jose M. Marti , Juan A. Miralles This is my paper · ORCID
classification astro-phgr-qc
keywords relativisticgeneralspecialnumericaldevelopedhydrodynamicsriemannsolvers
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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.

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Cited by 2 Pith papers

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    Pulsar-wind-induced disk heating in GRMHD simulations reproduces the high and low X-ray modes of transitional millisecond pulsars.

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    gr-qc 2025-04 conditional novelty 6.0 of 10

    A binary black hole merger is visualized through gravitational electric and magnetic fields obtained from an exact Maxwell-like reformulation of general relativity.

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