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

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.

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1312.5004.pdf (Preprint), 4MB
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 Creators:
Radice, David, Author
Rezzolla, Luciano1, Author           
Galeazzi, Filippo, Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE
 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.

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 Dates: 2013-12-172014-02-202014
 Publication Status: Issued
 Pages: 34 pages, 16 figures. Version accepted on CQG
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 Table of Contents: -
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 31 (7) Sequence Number: 075012 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1