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

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Rezzolla,  Luciano
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1312.5004.pdf
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Citation

Radice, D., Rezzolla, L., & Galeazzi, F. (2014). High-Order Fully General-Relativistic Hydrodynamics: new Approaches and Tests. Classical and quantum gravity, 31(7): 075012. doi:10.1088/0264-9381/31/7/075012.


Cite as: http://hdl.handle.net/11858/00-001M-0000-001A-1169-A
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. (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.