Robustness of a high-resolution central scheme for hydrodynamic simulations in full general relativity

Details Robustness of a high-resolution central scheme for hydrodynamic simulations in full general relativity Robustness of a high-resolution central scheme for hydrodynamic simulations in full general relativity

2005-07-24

arxiv.org/abs/gr-qc/0507099v1

Phys.Rev. D72 (2005) 047501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, to be published in Phys. Rev. D (brief report)

Scientific paper

10.1103/PhysRevD.72.047501

A recent paper by Lucas-Serrano et al. indicates that a high-resolution central (HRC) scheme is robust enough to yield accurate hydrodynamical simulations of special relativistic flows in the presence of ultrarelativistic speeds and strong shock waves. In this paper we apply this scheme in full general relativity (involving {\it dynamical} spacetimes), and assess its suitability by performing test simulations for oscillations of rapidly rotating neutron stars and merger of binary neutron stars. It is demonstrated that this HRC scheme can yield results as accurate as those by the so-called high-resolution shock-capturing (HRSC) schemes based upon Riemann solvers. Furthermore, the adopted HRC scheme has increased computational efficiency as it avoids the costly solution of Riemann problems and has practical advantages in the modeling of neutron star spacetimes. Namely, it allows simulations with stiff equations of state by successfully dealing with very low-density unphysical atmospheres. These facts not only suggest that such a HRC scheme may be a desirable tool for hydrodynamical simulations in general relativity, but also open the possibility to perform accurate magnetohydrodynamical simulations in curved dynamic spacetimes.

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