6533b829fe1ef96bd128991e

RESEARCH PRODUCT

High-Order Fully General-Relativistic Hydrodynamics: new Approaches and Tests

Luciano RezzollaDavid RadiceDavid RadiceFilippo GaleazziFilippo Galeazzi

subject

PhysicsHigh Energy Astrophysical Phenomena (astro-ph.HE)Physics and Astronomy (miscellaneous)Gravitational waveGeneral relativityBinary numberFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologyAstronGravitationNumerical relativityNeutron starTheory of relativityStatistical physicsAstrophysics - High Energy Astrophysical Phenomena

description

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. (2013). 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.

10.1088/0264-9381/31/7/075012http://arxiv.org/abs/1312.5004