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Axisymmetric hydrodynamics in numerical relativity using a multipatch method

Jesse, Jerred and Duez, Matthew D. and Foucart, Francois and Haddadi, Milad and Knight, Alexander L. and Cadenhead, Courtney L. and Hébert, François and Kidder, Lawrence E. and Pfeiffer, Harald P. and Scheel, Mark A. (2020) Axisymmetric hydrodynamics in numerical relativity using a multipatch method. Classical and Quantum Gravity, 37 (23). Art. No. 235010. ISSN 0264-9381. https://resolver.caltech.edu/CaltechAUTHORS:20201112-103612489

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Abstract

We describe a method of implementing the axisymmetric evolution of general-relativistic hydrodynamics and magnetohydrodynamics through modification of a multipatch grid scheme. In order to ease the computational requirements required to evolve the post-merger phase of systems involving binary compact massive objects in numerical relativity, it is often beneficial to take advantage of these system's tendency to rapidly settle into states that are nearly axisymmetric, allowing for 2D evolution of secular timescales. We implement this scheme in the spectral Einstein code and show the results of application of this method to four test systems including viscosity, magnetic fields, and neutrino radiation transport. Our results show that this method can be used to quickly allow already existing 3D infrastructure that makes use of local coordinate system transformations to be made to run in axisymmetric 2D with the flexible grid creation capabilities of multipatch methods. Our code tests include a simple model of a binary neutron star postmerger remnant, for which we confirm the formation of a massive torus which is a promising source of post-merger ejecta.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1361-6382/abbc8bDOIArticle
https://arxiv.org/abs/2005.01848arXivDiscussion Paper
ORCID:
AuthorORCID
Jesse, Jerred0000-0001-5266-4536
Duez, Matthew D.0000-0002-0050-1783
Foucart, Francois0000-0003-4617-4738
Haddadi, Milad0000-0001-7548-9099
Kidder, Lawrence E.0000-0001-5392-7342
Pfeiffer, Harald P.0000-0001-9288-519X
Additional Information:© 2020 IOP Publishing. Received 6 July 2020, revised 9 September 2020. Accepted for publication 29 September 2020. Published 10 November 2020. JJ would like to acknowledge Guy Worthey and Sukanta Bose for providing useful comments on an earlier draft of this paper. MD would like to acknowledge useful discussions with Thomas Baumgarte, which helped MD overcome his prejudice against analytical treatment of coordinate singularities. JJ gratefully acknowledges support from the Washington NASA Space Grant Consortium, NASA Grant NNX15AJ98H. MD gratefully acknowledges support from the NSF through Grant PHY-1806207. FF and AK gratefully acknowledge support from the NSF through Grant PHY-1806278, from NASA through Grant 80NSSC18K0565, and DOE-CAREER Grant DE-SC0020435. HP gratefully acknowledges support from the NSERC Canada. LK acknowledges support from NSF Grant PHY-1606654 and PHY-1912081. FH and MS acknowledge support from NSF Grants PHY-170212 and PHY-1708213. FH, LK and MS also thank the Sherman Fairchild Foundation for their support.
Group:TAPIR, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Washington State Space Grant ConsortiumUNSPECIFIED
NASANNX15AJ98H
NSFPHY-1806207
NSFPHY-1806278
NASA80NSSC18K0565
Department of Energy (DOE)DE-SC0020435
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
NSFPHY-1606654
NSFPHY-1912081
NSFPHY-170212
NSFPHY-1708213
Sherman Fairchild FoundationUNSPECIFIED
Subject Keywords:numerical relativity, relativistic hydrodynamics, neutrino transport, compact binary postmerger evolution
Issue or Number:23
Record Number:CaltechAUTHORS:20201112-103612489
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201112-103612489
Official Citation:Jerred Jesse et al 2020 Class. Quantum Grav. 37 235010
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106644
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:16 Nov 2020 15:55
Last Modified:16 Nov 2020 15:55

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