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High-order fully general-relativistic hydrodynamics: new approaches and tests

Radice, David and Rezzolla, Luciano and Galeazzi, Filippo (2014) High-order fully general-relativistic hydrodynamics: new approaches and tests. Classical and Quantum Gravity, 31 (7). Art. No. 075012. ISSN 0264-9381. doi:10.1088/0264-9381/31/7/075012.

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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 formatter 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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Radice, David0000-0001-6982-1008
Additional Information:© 2014 IOP Publishing Ltd. Received 17 December 2013; revised 29 January 2014; Accepted for publication 18 February 2014; Published 10 March 2014. It is a pleasure to acknowledge W Kastaun for kindly providing the primitive recovery routine, F Pannarale for providing the PN waveforms. We also thank I Hawke, D Alic and K Takami for numerous useful discussions. Partial support comes from a Sherman Fairchild Foundation grant to Caltech, the VESF grant (EGO-DIR-69-2010), the DFG grant SFB/Transregio 7, and by the CompStar network, COST Action MP1304. The calculations were performed on the SuperMUC cluster at the LRZ, on the Datura cluster at the AEI, and on the LOEWE cluster in Frankfurt.
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Virgo Ego Scientific Forum (VESF)EGO-DIR-69-2010
Deutsche Forschungsgemeinschaft (DFG) (Germany)SFB/Transregio 7
CompStar networkUNSPECIFIED
European Cooperation in Science and Technology (COST)MP1304
Subject Keywords:numerical relativity; gravitational wave sources; hydrodynamics; relativity; gravitation
Issue or Number:7
Classification Code:PACS: 04.25.Dm, 04.30.Db, 95.30.Lz, 95.30.Sf, 95.30.Qd, 04.25.D-, 97.60.Jd. MSC: 83C35, 83C55
Record Number:CaltechAUTHORS:20140429-105914153
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Official Citation:David, R., Luciano, R., & Filippo, G. (2014). High-order fully general-relativistic hydrodynamics: new approaches and tests. Classical and Quantum Gravity, 31(7), 075012.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45290
Deposited On:29 Apr 2014 18:31
Last Modified:12 Jul 2022 19:41

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