Entropy-limited hydrodynamics : a novel approach to relativistic hydrodynamics
- We present entropy-limited hydrodynamics (ELH): a new approach for the computation of numerical fluxes arising in the discretization of hyperbolic equations in conservation form. ELH is based on the hybridisation of an unfiltered high-order scheme with the first-order Lax-Friedrichs method. The activation of the low-order part of the scheme is driven by a measure of the locally generated entropy inspired by the artificial-viscosity method proposed by Guermond et al. (J. Comput. Phys. 230(11):4248-4267, 2011, doi:10.1016/j.jcp.2010.11.043). Here, we present ELH in the context of high-order finite-differencing methods and of the equations of general-relativistic hydrodynamics. We study the performance of ELH in a series of classical astrophysical tests in general relativity involving isolated, rotating and nonrotating neutron stars, and including a case of gravitational collapse to black hole. We present a detailed comparison of ELH with the fifth-order monotonicity preserving method MP5 (Suresh and Huynh in J. Comput. Phys. 136(1):83-99, 1997, doi:10.1006/jcph.1997.5745), one of the most common high-order schemes currently employed in numerical-relativity simulations. We find that ELH achieves comparable and, in many of the cases studied here, better accuracy than more traditional methods at a fraction of the computational cost (up to ∼50% speedup). Given its accuracy and its simplicity of implementation, ELH is a promising framework for the development of new special- and general-relativistic hydrodynamics codes well adapted for massively parallel supercomputers.
Author: | Federico Maria GuercilenaORCiDGND, David Radice, Luciano RezzollaORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-472769 |
DOI: | https://doi.org/10.1186/s40668-017-0022-0 |
ISSN: | 2197-7909 |
Parent Title (English): | Computational Astrophysics and Cosmology |
Publisher: | Springer international |
Place of publication: | New York, NY [u.a.] |
Document Type: | Article |
Language: | English |
Year of Completion: | 2017 |
Date of first Publication: | 2017/07/04 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2019/01/24 |
Tag: | central schemes; entropy limited hydrodynamics; flux limiters; numerical methods |
Volume: | 4 |
Issue: | Art. 3 |
Page Number: | 26 |
First Page: | 1 |
Last Page: | 26 |
Note: | Open Access: This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
HeBIS-PPN: | 446275646 |
Institutes: | Physik / Physik |
Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS) | |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - Namensnennung 4.0 |