High-order fully general-relativistic hydrodynamics: new approaches and tests
Abstract
We present a new approach for achieving high-order convergence in fully general-relativistic hydrodynamic simulations. The approach is implemented in WhiskyTHC, a new code that makes use of state-of-the-art numerical schemes and was key in achieving, for the first time, higher than second-order convergence in the calculation of the gravitational radiation from inspiraling binary neutron stars (Radice et al 2014 Mon. Not. R. Astron. Soc. 437 L46-L50). Here, we give a detailed description of the algorithms employed and present results obtained for a series of classical tests involving isolated neutron stars. In addition, using the gravitational-wave emission from the late-inspiral and merger of binary neutron stars, we make a detailed comparison between the results obtained with the new code and those obtained when using standard second-order schemes commonly employed for matter simulations in numerical relativity. We find that even at moderate resolutions and for binaries with large compactness, the phase accuracy is improved by a factor 50 or more.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- April 2014
- DOI:
- 10.1088/0264-9381/31/7/075012
- arXiv:
- arXiv:1312.5004
- Bibcode:
- 2014CQGra..31g5012R
- Keywords:
-
- 04.25.Dm;
- 04.30.Db;
- 95.30.Lz;
- 95.30.Sf;
- numerical relativity;
- gravitational wave sources;
- hydrodynamics;
- relativity and gravitation;
- General Relativity and Quantum Cosmology;
- Astrophysics - High Energy Astrophysical Phenomena
- E-Print:
- 34 pages, 16 figures. Version accepted on CQG